CN116698628A - Characterization method, device, equipment and storage medium of dynamic load response characteristics of anchor rod - Google Patents
Characterization method, device, equipment and storage medium of dynamic load response characteristics of anchor rod Download PDFInfo
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Abstract
Description
技术领域technical field
本发明涉及锚杆支护工程领域,尤其涉及一种锚杆动载响应特征的表征方法、装置、设备和存储介质。The invention relates to the field of bolt support engineering, and in particular to a characterization method, device, equipment and storage medium for dynamic load response characteristics of bolts.
背景技术Background technique
锚杆是工程施工领域的一种重要构件,能够承受土压力、水压力或风载荷产生的拉力,用于维护构筑物的稳定或加固岩土环境。例如,在煤矿开采中,常常是在矿井下开掘大量巷道,在巷道周围的岩层中安装锚杆形成一个整体稳定的岩石带,利用锚杆与围岩共同作用,达到维护巷道稳定的目的。此外,锚杆还应用于土木隧道施工、边坡加固、坝体加固等领域。Anchor is an important component in the field of engineering construction, which can bear the tension generated by earth pressure, water pressure or wind load, and is used to maintain the stability of structures or strengthen the rock and soil environment. For example, in coal mining, a large number of tunnels are often excavated under the mine, and bolts are installed in the rock formations around the tunnels to form an overall stable rock belt, and the bolts and surrounding rocks work together to maintain the stability of the tunnels. In addition, bolts are also used in civil tunnel construction, slope reinforcement, dam reinforcement and other fields.
随着工程施工深度逐年递增,施工环境也在不断改变,由于深部矿井地应力较高,岩体内储存着较大的应变能,当该部分的能量超过锚杆支护系统的支护能力时,容易发生“岩爆”。而选择何种锚杆既需要考虑到安全施工质量也需要兼顾工程建设成本。As the depth of engineering construction increases year by year, the construction environment is also constantly changing. Due to the high ground stress in deep mines, there is a large strain energy stored in the rock body. When the energy of this part exceeds the support capacity of the bolt support system , prone to "rockburst". The choice of which anchor rod needs to take into account both the safety of construction quality and the cost of engineering construction.
可见,面对当前的施工环境变化与锚杆适应能力之间难以匹配的问题,研究锚杆在冲击载荷作用下的响应特征成为目前业界在锚杆支护选型方面亟待解决的重要课题。It can be seen that in the face of the difficulty in matching the current construction environment changes and the adaptability of bolts, the study of the response characteristics of bolts under impact loads has become an important issue in the industry in the selection of bolt support.
发明内容Contents of the invention
针对上述技术问题,本发明提供一种锚杆动载响应特征的表征方法、装置、设备和存储介质。In view of the above technical problems, the present invention provides a characterization method, device, equipment and storage medium for dynamic load response characteristics of bolts.
本发明提供一种锚杆动载响应特征的表征方法,包括:The invention provides a method for characterizing the dynamic load response characteristics of a bolt, including:
获取预处理后的试验数据集;所述预处理后的试验数据集包括在锚杆受到一次或多次冲击直至断裂的过程中,采集到的每次冲击中所述锚杆的杆体载荷、杆体累计伸长量;Obtain a preprocessed test data set; the preprocessed test data set includes the rod body load, rod body load, and Cumulative elongation;
通过预设算法对所述预处理后的杆体载荷、所述杆体累计伸长量进行计算,得到目标数据集;其中,所述预设算法包括移动平均值算法、标准差算法、置信区间算法、最大最小值算法和分位数算法中的至少一种;Calculate the preprocessed rod body load and the cumulative elongation of the rod body through a preset algorithm to obtain a target data set; wherein the preset algorithm includes a moving average algorithm, a standard deviation algorithm, a confidence interval algorithm, At least one of the max-min algorithm and the quantile algorithm;
以杆体累计伸长量为横坐标,以杆体载荷为纵坐标,绘制得到所述目标数据集对应的目标曲线;所述目标曲线为锚杆的动载响应特征曲线,所述动载响应特征曲线包括上包络线、下包络线和中值线。Taking the cumulative elongation of the rod body as the abscissa and the rod body load as the ordinate, draw the target curve corresponding to the target data set; the target curve is the dynamic load response characteristic curve of the anchor rod, and the dynamic load response characteristic curve is Including upper envelope, lower envelope and median line.
根据本发明提供的一种锚杆动载响应特征的表征方法,所述预设算法包括移动平均值算法;所述通过预设算法对所述预处理后的杆体载荷、所述杆体累计伸长量进行计算,得到目标数据集,包括:According to a method for characterizing the dynamic load response characteristics of anchor bolts provided by the present invention, the preset algorithm includes a moving average algorithm; The amount is calculated to obtain the target data set, including:
将所述预处理后的杆体累计伸长量按照从小到大的顺序进行排序得到杆体累计伸长量序列;Sorting the cumulative elongation of the pretreated rods in ascending order to obtain a sequence of cumulative elongation of the rods;
针对所述杆体累计伸长量序列中的每个序列值,获取与所述序列值对应的第一预设滑动窗口内各个序列值对应的杆体载荷,得到第一杆体载荷集合,计算所述第一杆体载荷集合的平均值;For each sequence value in the cumulative elongation sequence of the rod, obtain the rod load corresponding to each sequence value in the first preset sliding window corresponding to the sequence value, obtain the first rod load set, and calculate the second The average value of a set of rod loads;
将所述平均值分别偏离预设百分比,得到每个序列值对应的杆体载荷平均值上界和杆体载荷平均值下界;Deviate the average value from the preset percentage respectively to obtain the upper bound of the average value of the rod body load and the lower bound of the average value of the rod body load corresponding to each sequence value;
将所述杆体累计伸长量序列中的全部序列值及其对应的杆体载荷平均值上界和杆体载荷平均值下界作为所述目标数据集。All sequence values in the accumulative elongation sequence of the rod body and their corresponding upper bound and lower bound of the average load value of the rod body are used as the target data set.
根据本发明提供的一种锚杆动载响应特征的表征方法,所述预设算法包括标准差算法;所述通过预设算法对所述预处理后的杆体载荷、所述杆体累计伸长量进行计算,得到目标数据集,包括:According to a method for characterizing the dynamic load response characteristics of bolts provided by the present invention, the preset algorithm includes a standard deviation algorithm; Perform calculations to obtain the target data set, including:
将所述预处理后的杆体累计伸长量按照从小到大的顺序进行排序得到杆体累计伸长量序列;Sorting the cumulative elongation of the pretreated rods in ascending order to obtain a sequence of cumulative elongation of the rods;
针对所述杆体累计伸长量序列中的每个序列值,获取与所述序列值对应的第二预设滑动窗口内各个序列值对应的杆体载荷,得到第二杆体载荷集合,计算所述第二杆体载荷集合的标准差;For each sequence value in the cumulative elongation sequence of the rod, obtain the rod load corresponding to each sequence value in the second preset sliding window corresponding to the sequence value, obtain a second rod load set, and calculate the first The standard deviation of the set of two rod loads;
将所述标准差分别上下偏离第二预设百分比,得到每个序列值对应的杆体载荷标准差上界和杆体载荷标准差下界;Deviate the standard deviation up and down by the second preset percentage respectively to obtain the upper bound of the standard deviation of the rod body load and the lower bound of the standard deviation of the rod body load corresponding to each sequence value;
将所述杆体累计伸长量序列中的全部序列值及其对应的杆体载荷标准差上界和杆体载荷标准差下界作为所述目标数据集。All sequence values in the cumulative elongation sequence of the rod body and their corresponding upper bounds of the standard deviation of the rod body load and lower bounds of the standard deviation of the rod body load are used as the target data set.
根据本发明提供的一种锚杆动载响应特征的表征方法,所述预设算法还包括置信区间算法;所述通过预设算法对所述预处理后的杆体载荷、所述杆体累计伸长量进行计算,得到目标数据集,包括:According to a method for characterizing the dynamic load response characteristics of bolts provided by the present invention, the preset algorithm further includes a confidence interval algorithm; The amount is calculated to obtain the target data set, including:
基于预设置信度水平得到Z值;Get the Z value based on the preset reliability level;
针对所述杆体累计伸长量序列中的每个序列值,基于所述Z值和所述标准差计算得到每个序列值对应的杆体载荷置信区间上界和杆体载荷置信区间下界;For each sequence value in the cumulative elongation sequence of the rod body, the upper bound of the rod body load confidence interval and the lower bound of the rod body load confidence interval corresponding to each sequence value are calculated based on the Z value and the standard deviation;
将所述杆体累计伸长量序列中的全部序列值及其对应的杆体载荷置信区间上界和杆体载荷置信区间下界作为所述目标数据集。All sequence values in the cumulative elongation sequence of the rod body and their corresponding upper bound of the confidence interval of the rod body load and lower bound of the confidence interval of the rod body load are taken as the target data set.
根据本发明提供的一种锚杆动载响应特征的表征方法,所述预设算法包括最大最小值算法;所述通过预设算法对所述预处理后的杆体载荷、所述杆体累计伸长量进行计算,得到目标数据集,包括:According to a method for characterizing the dynamic load response characteristics of anchor bolts provided by the present invention, the preset algorithm includes a maximum and minimum value algorithm; The amount is calculated to obtain the target data set, including:
将所述预处理后的杆体累计伸长量按照从小到大的顺序进行排序得到杆体累计伸长量序列;Sorting the cumulative elongation of the pretreated rods in ascending order to obtain a sequence of cumulative elongation of the rods;
针对所述杆体累计伸长量序列中的每个序列值,获取与所述序列值相邻的第三预设滑动窗口内各个序列值对应的杆体载荷,得到第三杆体载荷集合,计算所述第三杆体载荷集合中的杆体载荷最大值和杆体载荷最小值;For each sequence value in the cumulative elongation sequence of the rod, obtain the rod load corresponding to each sequence value in the third preset sliding window adjacent to the sequence value, obtain a third rod load set, and calculate the The maximum value of the rod load and the minimum value of the rod load in the third rod load set;
将所述杆体累计伸长量序列中的全部序列值及其对应的杆体载荷最大值和杆体载荷最小值作为所述目标值集合。All sequence values in the cumulative elongation sequence of the rod body and their corresponding maximum rod load values and minimum rod load values are taken as the target value set.
根据本发明提供的一种锚杆动载响应特征的表征方法,所述预设算法包括分位数算法;所述通过预设算法对所述预处理后的杆体载荷、所述杆体累计伸长量进行计算,得到目标数据集,包括:According to a method for characterizing the dynamic load response characteristics of anchor bolts provided by the present invention, the preset algorithm includes a quantile algorithm; The amount is calculated to obtain the target data set, including:
将所述预处理后的杆体累计伸长量按照从小到大的顺序进行排序得到杆体累计伸长量序列;Sorting the cumulative elongation of the pretreated rods in ascending order to obtain a sequence of cumulative elongation of the rods;
针对所述杆体累计伸长量序列中的每个序列值,利用第四预设滑动窗口,在所述杆体累计伸长量序列上依次选取子窗口;For each sequence value in the cumulative elongation sequence of the rod body, use the fourth preset sliding window to sequentially select sub-windows on the cumulative elongation sequence of the rod body;
计算每个子窗口中的杆体载荷最大值和杆体载荷最小值;Calculate the maximum value of the rod load and the minimum value of the rod load in each sub-window;
将所述杆体累计伸长量序列中的全部序列值及其对应的杆体载荷最大值和杆体载荷最小值作为所述目标值集合。All sequence values in the cumulative elongation sequence of the rod body and their corresponding maximum rod load values and minimum rod load values are taken as the target value set.
本发明还提供一种锚杆选型方法,所述方法包括:The present invention also provides a method for bolt selection, the method comprising:
获取煤矿地层的赋存特征数据;Obtain the occurrence characteristic data of coal mine strata;
根据工程需要,设计巷道断面的巷道开挖方案,如:巷道形状及几何尺寸;According to the needs of the project, design the roadway excavation scheme of the roadway section, such as: roadway shape and geometric dimensions;
根据所述赋存特征数据、所述巷道开挖方案,采用相应的支护设计方法,确定巷道的锚杆支护方案;所述锚杆支护方案中包括锚杆的动力学参数需求;According to the occurrence characteristic data and the roadway excavation scheme, adopt the corresponding support design method to determine the bolting scheme of the roadway; the bolting scheme includes the dynamic parameter requirements of the bolt;
将锚杆的动力学参数需求与应用上述锚杆动载响应特征的表征方法所得到的锚杆的动载响应特征曲线进行匹配,根据匹配结果确定锚杆的最佳特征参数,从而完成锚杆的选型。Match the dynamic parameter requirements of the bolt with the dynamic load response characteristic curve of the bolt obtained by applying the characterization method of the dynamic load response characteristic of the bolt above, and determine the optimal characteristic parameters of the bolt according to the matching results, so as to complete the bolt selection.
本发明还提供一种锚杆动载响应特征的表征装置,所述装置包括:The present invention also provides a characterization device for dynamic load response characteristics of anchor rods, the device comprising:
数据获取模块,用于获取预处理后的试验数据集;所述预处理后的试验数据集包括在锚杆受到一次或多次冲击直至断裂的过程中,采集到的每次冲击中所述锚杆的杆体载荷、杆体累计伸长量;The data acquisition module is used to acquire the preprocessed test data set; the preprocessed test data set includes the anchor in each impact collected during the process of the anchor being subjected to one or more impacts until it breaks. Rod body load, rod body cumulative elongation;
数据处理模块,用于通过预设算法对所述预处理后的杆体载荷、所述杆体累计伸长量进行计算,得到目标数据集;其中,所述预设算法包括移动平均值算法、标准差算法、置信区间算法、最大最小值算法和分位数算法中的至少一种;The data processing module is used to calculate the preprocessed rod body load and the cumulative elongation of the rod body through a preset algorithm to obtain a target data set; wherein the preset algorithm includes a moving average algorithm, a standard deviation At least one of algorithm, confidence interval algorithm, max-min algorithm and quantile algorithm;
曲线绘制模块,以杆体累计伸长量为横坐标,以杆体载荷为纵坐标,绘制得到所述目标数据集对应的目标曲线;所述目标曲线为锚杆的动载响应特征曲线,所述动载响应特征曲线包括上包络线、下包络线和中值线。The curve drawing module takes the cumulative elongation of the rod as the abscissa and the load of the rod as the ordinate to draw the target curve corresponding to the target data set; the target curve is the dynamic load response characteristic curve of the anchor rod, and the dynamic The load response characteristic curve includes an upper envelope, a lower envelope and a median line.
本发明还提供一种电子设备,包括存储器、处理器及存储在存储器上并可在处理器上运行的计算机程序,所述处理器执行所述程序时实现如上述任一种所述锚杆动载响应特征的表征方法。The present invention also provides an electronic device, including a memory, a processor, and a computer program stored on the memory and operable on the processor. Characterization method of load response characteristics.
本发明还提供一种非暂态计算机可读存储介质,其上存储有计算机程序,该计算机程序被处理器执行时实现如上述任一种所述锚杆动载响应特征的表征方法。The present invention also provides a non-transitory computer-readable storage medium, on which a computer program is stored, and when the computer program is executed by a processor, the characterization method for the dynamic load response characteristics of the bolt as described above can be realized.
本发明还提供一种计算机程序产品,包括计算机程序,所述计算机程序被处理器执行时实现如上述任一种所述锚杆动载响应特征的表征方法。The present invention also provides a computer program product, including a computer program. When the computer program is executed by a processor, the method for characterization of the dynamic load response characteristics of the bolt as described above can be realized.
本发明提供的一种锚杆动载响应特征的表征方法、装置、设备和存储介质,通过获取预处理后的试验数据集;预处理后的试验数据集包括在锚杆受到一次或多次冲击直至断裂的过程中,采集到的每次冲击中锚杆的杆体载荷、杆体累计伸长量;通过预设算法对预处理后的杆体载荷、杆体累计伸长量进行计算,得到目标数据集;其中,预设算法包括移动平均值算法、标准差算法、置信区间算法、最大最小值算法和分位数算法中的至少一种;以杆体累计伸长量为横坐标,以杆体载荷为纵坐标,绘制得到目标数据集对应的目标曲线;目标曲线包括上包络线、下包络线和中值线。本发明能够得到锚杆动载响应特征的目标曲线,通过该目标曲线可以直观反映试验数据的趋势和波动性,有助于检测异常值,可在矿井巷道的锚杆支护选型、巷道支护方案优化、巷道冲击地压灾害防控等方面提供关键的基础数据支撑。The present invention provides a characterization method, device, equipment and storage medium for the dynamic load response characteristics of a bolt, by obtaining a preprocessed test data set; the preprocessed test data set includes During the process until the fracture, the rod body load and the cumulative elongation of the anchor rod in each impact are collected; the pre-processed rod body load and the cumulative elongation of the rod body are calculated by the preset algorithm to obtain the target data set; Wherein, the preset algorithm includes at least one of the moving average algorithm, standard deviation algorithm, confidence interval algorithm, maximum and minimum value algorithm and quantile algorithm; the abscissa is the cumulative elongation of the rod body, and the vertical coordinate is the rod load , draw the target curve corresponding to the target data set; the target curve includes an upper envelope, a lower envelope and a median line. The invention can obtain the target curve of the dynamic load response characteristics of the bolt, through which the trend and fluctuation of the test data can be intuitively reflected, which is helpful to detect abnormal values, and can be used in the selection of bolt support and roadway support in mine roadways. Provide key basic data support for the optimization of protection schemes and the prevention and control of roadway rock burst disasters.
附图说明Description of drawings
为了更清楚地说明本发明或现有技术中的技术方案,下面将对实施例或现有技术描述中所需要使用的附图作一简单地介绍,显而易见地,下面描述中的附图是本发明的一些实施例,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据这些附图获得其他的附图。In order to more clearly illustrate the present invention or the technical solutions in the prior art, the accompanying drawings that need to be used in the description of the embodiments or the prior art will be briefly introduced below. Obviously, the accompanying drawings in the following description are the present invention. For some embodiments of the invention, those skilled in the art can also obtain other drawings based on these drawings without creative effort.
图1是本发明提供的锚杆动载响应特征的表征方法的流程示意图之一;Fig. 1 is one of schematic flow charts of the characterization method of the bolt dynamic load response characteristic provided by the present invention;
图2是本发明提供的锚杆动载响应特征的表征方法的流程示意图之二;Fig. 2 is the second schematic flow chart of the characterization method of the bolt dynamic load response characteristic provided by the present invention;
图3是本发明提供的锚杆动载响应特征曲线的示意图;Fig. 3 is the schematic diagram of the dynamic load response characteristic curve of the bolt provided by the present invention;
图4是本发明提供的锚杆动载响应特征的表征装置的结构示意图;Fig. 4 is the structural schematic diagram of the characterization device of the bolt dynamic load response characteristic provided by the present invention;
图5是本发明提供的锚杆选型装置的结构示意图;Fig. 5 is a schematic structural view of the bolt type selection device provided by the present invention;
图6是本发明提供的电子设备的结构示意图。Fig. 6 is a schematic structural diagram of an electronic device provided by the present invention.
具体实施方式Detailed ways
为使本发明的目的、技术方案和优点更加清楚,下面将结合本发明中的附图,对本发明中的技术方案进行清楚、完整地描述,显然,所描述的实施例是本发明一部分实施例,而不是全部的实施例。基于本发明中的实施例,本领域普通技术人员在没有作出创造性劳动前提下所获得的所有其他实施例,都属于本发明保护的范围。In order to make the purpose, technical solutions and advantages of the present invention clearer, the technical solutions in the present invention will be clearly and completely described below in conjunction with the accompanying drawings in the present invention. Obviously, the described embodiments are part of the embodiments of the present invention , but not all examples. Based on the embodiments of the present invention, all other embodiments obtained by persons of ordinary skill in the art without creative efforts fall within the protection scope of the present invention.
需要说明的是,在本发明实施例的描述中,术语“包括”、“包含”或者其任何其他变体意在涵盖非排他性的包含,从而使得包括一系列要素的过程、方法、物品或者设备不仅包括那些要素,而且还包括没有明确列出的其他要素,或者是还包括为这种过程、方法、物品或者设备所固有的要素。在没有更多限制的情况下,由语句“包括一个……”限定的要素,并不排除在包括所述要素的过程、方法、物品或者设备中还存在另外的相同要素。术语“上”、“下”等指示的方位或位置关系为基于附图所示的方位或位置关系,仅是为了便于描述本发明和简化描述,而不是指示或暗示所指的装置或元件必须具有特定的方位、以特定的方位构造和操作,因此不能理解为对本发明的限制。除非另有明确的规定和限定,术语“安装”、“相连”、“连接”应做广义理解,例如,可以是固定连接,也可以是可拆卸连接,或一体地连接;可以是机械连接,也可以是电连接;可以是直接相连,也可以通过中间媒介间接相连,可以是两个元件内部的连通。对于本领域的普通技术人员而言,可以根据具体情况理解上述术语在本发明中的具体含义。It should be noted that, in the description of the embodiments of the present invention, the terms "comprising", "comprising" or any other variant thereof are intended to cover a non-exclusive inclusion, so that a process, method, article or device comprising a series of elements Not only those elements are included, but also other elements not expressly listed or inherent in such process, method, article or apparatus. Without further limitations, an element defined by the phrase "comprising a ..." does not exclude the presence of additional identical elements in the process, method, article or apparatus comprising said element. The orientation or positional relationship indicated by the terms "upper", "lower", etc. is based on the orientation or positional relationship shown in the drawings, and is only for the convenience of describing the present invention and simplifying the description, rather than indicating or implying that the referred device or element must Having a particular orientation, being constructed and operating in a particular orientation, and therefore not to be construed as limiting the invention. Unless otherwise clearly specified and limited, the terms "installation", "connection" and "connection" should be interpreted in a broad sense, for example, it may be a fixed connection, a detachable connection, or an integral connection; it may be a mechanical connection, It can also be an electrical connection; it can be a direct connection, or an indirect connection through an intermediary, or an internal communication between two components. Those of ordinary skill in the art can understand the specific meanings of the above terms in the present invention according to specific situations.
本申请中的术语“第一”、“第二”等是用于区别类似的对象,而不用于描述特定的顺序或先后次序。应该理解这样使用的数据在适当情况下可以互换,以便本申请的实施例能够以除了在这里图示或描述的那些以外的顺序实施,且“第一”、“第二”等所区分的对象通常为一类,并不限定对象的个数,例如第一对象可以是一个,也可以是多个。此外,“和/或”表示所连接对象的至少其中之一,字符“/”,一般表示前后关联对象是一种“或”的关系。The terms "first", "second" and the like in this application are used to distinguish similar objects, and are not used to describe a specific order or sequence. It should be understood that the terms so used are interchangeable under appropriate circumstances such that the embodiments of the application can be practiced in sequences other than those illustrated or described herein, and that references to "first," "second," etc. distinguish Objects are generally of one type, and the number of objects is not limited. For example, there may be one or more first objects. In addition, "and/or" indicates at least one of the connected objects, and the character "/" generally indicates that the associated objects before and after are in an "or" relationship.
下面结合图1-图5描述本发明的具体实施方式。A specific embodiment of the present invention will be described below with reference to FIGS. 1-5 .
在一个实施例中,如图1所示,提供了一种锚杆动载响应特征的表征方法,包括以下步骤:In one embodiment, as shown in Figure 1, a method for characterizing the dynamic load response characteristics of a bolt is provided, comprising the following steps:
步骤101,获取预处理后的试验数据集;该预处理后的试验数据集包括在锚杆受到一次或多次冲击直至断裂的过程中,采集到的每次冲击中所述锚杆的杆体载荷、杆体累计伸长量;Step 101, obtain a preprocessed test data set; the preprocessed test data set includes the rod body load of the anchor rod in each impact collected during the process of the anchor rod being subjected to one or more impacts until it breaks , the cumulative elongation of the rod body;
其中,杆体载荷是指施加在工程结构上使工程结构或构件产生效应的各种直接作用。杆体累计伸长量是指锚杆历次冲击过冲中杆体伸长量的累加代数和。Among them, the rod load refers to various direct actions exerted on the engineering structure to make the engineering structure or components produce effects. The cumulative elongation of the rod body refers to the cumulative algebraic sum of the elongation of the rod body in the previous impact overshoot of the anchor rod.
具体地,采用一定形式的锚杆动载冲击试验台(比如,落锤冲击试验台)以一定的能量(高于锚杆冲击变形的能量阈值)通过一次或多次冲击锚杆,直至锚杆最终破断。每次冲击过程中,实时采集锚杆杆体的载荷、杆体伸长量等指标数据。其中,后一次冲击的杆体伸长量起点是前一次冲击结束后的杆体伸长量,以此为基点采用代数叠加此次冲击的伸长量增量,进而得到此次冲击过程中的动态累计伸长量。如此,得到锚杆历次冲击过程中的杆体的载荷、杆体累计伸长量,以此数据对为样本,得到锚杆动载冲击响应的数据集,作为下一步绘制包络线的数据样本。Specifically, a certain form of bolt dynamic load impact test bench (for example, a drop hammer impact test bench) is used to impact the bolt once or more times with a certain energy (higher than the energy threshold of the bolt impact deformation), until the bolt eventually broke. During each impact process, real-time collection of index data such as the load of the anchor rod body and the elongation of the rod body. Among them, the starting point of the elongation of the rod body in the latter impact is the elongation amount of the rod body after the end of the previous impact. Based on this point, the elongation increment of this impact is superimposed algebraically, and then the dynamic accumulation during the impact process is obtained. Elongation. In this way, the load of the rod body and the cumulative elongation of the rod body in the previous impact process of the bolt are obtained. Using this data pair as a sample, a data set of the dynamic load impact response of the bolt is obtained, which is used as a data sample for drawing the envelope in the next step.
对试验数据集进行算法处理前,还需要进行预处理,预处理过程包括:对于试验数据进行数据清洗、缺失值填充等数据预处理操作,确保试验数据的可靠性和完整性。其中,数据清洗包括剔除干扰数据。剔除原始数据中的干扰点,保留有效数据,提高分析样本的精确度。这是因为:锚杆历次冲击试验过程中,每次冲击过程有2部分数据需要剔除:一是落锤撞击托盘瞬间,冲击载荷从0kN急剧升高至屈服载荷,但升高过程中的数值远低于锚杆屈服、强化阶段的载荷值;二是撞击末期杆体发生反弹,反弹引起的冲击载荷从200kN以上急剧降低至100kN以下,载荷陡降过程中的数值远低于锚杆屈服、强化阶段的载荷值。如果保留这些数据,将会影响分析结果的准确度,降低包络线的可信度。因此,需要剔除载荷异常点。Before the algorithm processing of the test data set, preprocessing is also required. The preprocessing process includes: data preprocessing operations such as data cleaning and missing value filling for the test data to ensure the reliability and integrity of the test data. Among them, data cleaning includes eliminating interference data. Eliminate the interference points in the original data, retain the valid data, and improve the accuracy of the analysis sample. This is because: in the previous impact tests of the bolt, two parts of data need to be eliminated in each impact process: one is the moment when the falling weight hits the pallet, the impact load rises sharply from 0kN to the yield load, but the value during the increase process is far from The second is that the rod body rebounded at the end of the impact, and the impact load caused by the rebound dropped sharply from above 200kN to below 100kN, and the value during the steep drop process was much lower than that in the yield and strengthening stage load value. If these data are retained, it will affect the accuracy of the analysis results and reduce the credibility of the envelope. Therefore, it is necessary to eliminate load abnormal points.
剔除异常数据点之后得到预处理后的试验数据集。After removing abnormal data points, the preprocessed test data set is obtained.
步骤102,通过预设算法对所述预处理后的杆体载荷、所述杆体累计伸长量进行计算,得到目标数据集;其中,所述预设算法包括移动平均值算法、标准差算法、置信区间算法、最大最小值算法和分位数算法中的至少一种。Step 102, calculate the preprocessed rod body load and the cumulative elongation of the rod body through a preset algorithm to obtain a target data set; wherein, the preset algorithm includes a moving average algorithm, a standard deviation algorithm, a confidence At least one of interval algorithm, maximum-minimum algorithm and quantile algorithm.
具体地,对于经过预处理的试验数据,可采用多种数据分析算法,如移动平均值法、标准差法、最大最小值法、置信区间法、分位数法等,分别得到对应算法的数据集,进而得到包络线的数据集。数据集包括上包络线、下包络线、中值线所需的数据对的集合。Specifically, for the preprocessed test data, a variety of data analysis algorithms can be used, such as moving average method, standard deviation method, maximum and minimum value method, confidence interval method, quantile method, etc., to obtain the data corresponding to the algorithm Set, and then get the data set of the envelope. The data set includes a collection of data pairs required for the upper envelope, lower envelope, and median line.
步骤103,以杆体累计伸长量为横坐标,以杆体载荷为纵坐标,绘制得到所述目标数据集对应的目标曲线;所述目标曲线为锚杆的动载响应特征曲线,所述动载响应特征曲线包括上包络线、下包络线和中值线。Step 103, taking the cumulative elongation of the rod as the abscissa and the load of the rod as the ordinate, draw the target curve corresponding to the target data set; the target curve is the dynamic load response characteristic curve of the bolt, and the dynamic load The response characteristic curve includes an upper envelope, a lower envelope, and a median line.
具体地,以杆体累计伸长量为横坐标,以杆体载荷为纵坐标,绘制得到上述目标数据集对应的目标曲线;该目标曲线为关于上述锚杆的动载响应特征曲线,该动载响应特征曲线中包括上包络线、下包络线或中值线。Specifically, with the cumulative elongation of the rod body as the abscissa and the rod load as the ordinate, the target curve corresponding to the above target data set is drawn; the target curve is the dynamic load response characteristic curve of the above anchor rod, and the dynamic load response The characteristic curve includes an upper envelope, a lower envelope or a median line.
上述实施例,通过移动平均值算法、标准差算法、置信区间算法、最大最小值算法或分位数算法对预处理后的试验数据集进行处理,得到锚杆动载响应特征的目标曲线,通过该目标曲线可以直观反映试验数据的趋势和波动性,有助于检测异常值,可在矿井巷道的锚杆支护选型、巷道支护方案优化、巷道冲击地压灾害防控等方面提供关键的基础数据支撑。In the above embodiment, the preprocessed test data set is processed by the moving average algorithm, the standard deviation algorithm, the confidence interval algorithm, the maximum minimum algorithm or the quantile algorithm, and the target curve of the dynamic load response characteristic of the bolt is obtained. The target curve can intuitively reflect the trend and volatility of the test data, help to detect outliers, and provide key information in the selection of bolt support in mine roadways, optimization of roadway support schemes, prevention and control of roadway rock burst disasters, etc. basic data support.
在一实施例中,上述预设算法包括移动平均值算法;上述步骤102包括:将预处理后的杆体累计伸长量按照从小到大的顺序进行排序得到杆体累计伸长量序列;针对杆体累计伸长量序列中的每个序列值,获取与序列值对应的预设滑动窗口内各个序列值对应的杆体载荷,得到第一杆体载荷集合,计算第一杆体载荷集合的平均值;将平均值分别偏离预设百分比,得到每个序列值对应的杆体载荷平均值上界和杆体载荷平均值下界;将杆体载荷序列中的全部序列值及其对应的杆体载荷平均值上界和杆体载荷平均值下界作为目标数据集。In one embodiment, the above-mentioned preset algorithm includes a moving average algorithm; the above-mentioned step 102 includes: sorting the pre-processed cumulative elongation of the rod body in order from small to large to obtain the sequence of the cumulative elongation of the rod body; For each sequence value in the elongation sequence, obtain the rod body load corresponding to each sequence value in the preset sliding window corresponding to the sequence value, obtain the first rod body load set, and calculate the average value of the first rod body load set; Deviate from the preset percentage respectively to obtain the upper bound of the average value of the rod load and the lower bound of the average value of the rod body load corresponding to each sequence value; combine all the sequence values in the rod load sequence and their corresponding upper bound of the average value of the rod body load and the average value of the rod body load The lower bound serves as the target dataset.
其中,移动平均值算法用于计算数据集的平均值。在该算法中,对于任一数据点,取其邻域窗口内一定数量的数据点进行求平均操作。遍历数据集内的各数据点,得到一组平均值序列。Among them, the moving average algorithm is used to calculate the average value of the data set. In this algorithm, for any data point, a certain number of data points in its neighborhood window are used for averaging. Traverse each data point in the data set to get a set of mean values.
具体地,本实施例中的移动平均值算法主要包括:Specifically, the moving average algorithm in this embodiment mainly includes:
①散点局部描述结果:以杆体累计伸长量为横坐标,以杆体载荷为纵坐标,滑动窗口选择固定点数Wpoints,将预处理后的试验数据集按杆体累计伸长量(即横坐标)从小到大的顺序排序,针对第i个点,其纵坐标采用第到/>条记录的纵坐标均值进行描述,由此可得任一散点的纵坐标描述结果:① Local description results of scattered points: take the cumulative elongation of the rod body as the abscissa, and the rod load as the ordinate, select the fixed number of points W points in the sliding window, and divide the preprocessed test data set according to the cumulative elongation of the rod body (that is, the abscissa ) are sorted from small to large, and for the i-th point, its vertical coordinate adopts the to /> The average value of the ordinate of each record is described, and the result of the ordinate description of any scattered point can be obtained:
式中,为杆体累计伸长量序列中第i个点的邻域的纵坐标平均值;Wpoints为滑动窗口点数;yi为原始数据序列第i个点的纵坐标值(即杆体载荷),/>对应的横坐标为xi。In the formula, is the average value of the vertical coordinates of the neighborhood of the i-th point in the cumulative elongation sequence of the rod body; W points is the number of sliding window points; The corresponding abscissa is x i .
②设置偏离:为了获取上、下界包络线,需要对散点局部描述结果进行偏移处理。移动平均值法采用百分比形式,因此需要设置偏移百分比Deviation。②Setting deviation: In order to obtain the upper and lower bound envelopes, it is necessary to perform offset processing on the local description results of scattered points. The moving average method is in the form of a percentage, so it is necessary to set the deviation percentage Deviation.
式中,为杆体累计伸长量序列中第i个点的邻域的纵坐标平均值,ui为第i个点的杆体载荷平均值上界,li为第i个点的杆体载荷平均值下界,Deviation为上下界偏移百分比。In the formula, is the average ordinate value of the neighborhood of the i-th point in the accumulative elongation sequence of the rod body, u i is the upper bound of the average value of the rod body load at the i-th point, l i is the lower bound of the average value of the rod body load at the i-th point, Deviation is the upper and lower bounds deviation percentage.
上述实施例,通过移动平均值算法计算得到每个杆体累计伸长量对应的杆体载荷平均值上界和杆体载荷平均值下界,有利于为后续检测锚杆异常提供数据基础。In the above embodiment, the upper bound and lower bound of the average load value of each rod body corresponding to the cumulative elongation of each rod body are calculated through the moving average algorithm, which is beneficial to provide a data basis for subsequent detection of abnormality of the anchor rod.
在一实施例中,上述预设算法包括标准差算法,上述步骤102包括:将预处理后的杆体累计伸长量按照从小到大的顺序进行排序得到杆体累计伸长量序列;针对杆体累计伸长量序列中的每个序列值,获取与序列值对应的预设滑动窗口内各个序列值对应的杆体载荷,得到第二杆体载荷集合,计算第二杆体载荷集合的标准差;将标准差分别上下偏离第二预设百分比,得到每个序列值对应的杆体载荷标准差上界和杆体载荷标准差下界;将杆体载荷序列中的全部序列值及其对应的杆体载荷标准差上界和杆体载荷标准差下界作为目标数据集。In one embodiment, the above preset algorithm includes a standard deviation algorithm, and the above step 102 includes: sorting the preprocessed cumulative elongation of the rod body in order from small to large to obtain the sequence of the cumulative elongation of the rod body; For each sequence value in the long sequence, obtain the rod body load corresponding to each sequence value in the preset sliding window corresponding to the sequence value, obtain the second rod body load set, and calculate the standard deviation of the second rod body load set; Deviate from the second preset percentage up and down to obtain the upper bound of the standard deviation of the rod load and the lower bound of the standard deviation of the rod load corresponding to each sequence value; combine all the sequence values in the rod load sequence and their corresponding upper bound of the standard deviation of the rod load and the rod load The standard deviation lower bound is used as the target data set.
其中,标准差算法是一种衡量数据系列分散程度的统计算法,用于分析数据的离散程度和波动性。该算法通过计算数据集的平均值和每个数据点与平均值的差的平方和,最后将差的平方和除以数据点数量,得到标准差值。标准差值越大,说明数据集的分布越分散,反之亦然。Among them, the standard deviation algorithm is a statistical algorithm to measure the degree of dispersion of the data series, which is used to analyze the degree of dispersion and volatility of the data. The algorithm calculates the mean of the data set and the sum of squares of the difference between each data point and the mean, and finally divides the sum of squares of the difference by the number of data points to obtain the standard deviation value. The larger the standard deviation value, the more dispersed the distribution of the data set, and vice versa.
具体地,可以采用标准差的概念得到数据系列的包络线。数据系列的包络线可以通过对数据序列的平均值和标准差进行适当的加减计算得到。具体来说,数据序列的上限包络线可以将平均值加上一定倍数的标准差,该倍数需要根据数据的波动性来确定。同理,数据序列的下限包络线可以将平均值减去一定倍数的标准差。算法的数学描述如下:Specifically, the envelope of the data series can be obtained by using the concept of standard deviation. The envelope of a data series can be calculated by adding and subtracting the mean and standard deviation of the data series appropriately. Specifically, the upper limit envelope of the data series can add a certain multiple of the standard deviation to the average value, and the multiple needs to be determined according to the volatility of the data. In the same way, the lower limit envelope of the data series can subtract a certain multiple of the standard deviation from the mean. The mathematical description of the algorithm is as follows:
①散点局部描述结果:滑动窗口选择固定宽度,将原始数据集按横坐标数值的大小排序。针对第k个窗口,其纵坐标采用横坐标范围在到/>的窗口内散点纵坐标均值描述,由此可得任一散点的描述结果。① Scattered local description results: the sliding window selects a fixed width, and the original data set is sorted by the value of the abscissa. For the kth window, the vertical coordinate adopts the horizontal coordinate range in to /> The mean value of the vertical coordinates of the scattered points in the window is described, so the description result of any scattered point can be obtained.
式中,及/>分别表示处于第k个窗口内所有计算序列散点的计算所得的平均值和标准差,mean(yi)代表均值函数,std(yi)代表标准差函数。In the formula, and /> Respectively represent the calculated average and standard deviation of all calculated sequence scatter points in the kth window, mean(y i ) represents the mean function, and std(y i ) represents the standard deviation function.
②设置偏离:为了获取上、下界包络线,需要对散点局部描述结果进行偏移处理,该算法采用标准差的倍数α设置。②Setting deviation: In order to obtain the upper and lower boundary envelopes, it is necessary to perform offset processing on the local description results of scattered points. The algorithm uses the multiple α of the standard deviation to set.
式中,为计算数据集上界序列第k个窗口的纵坐标,/>为计算数据集下界序列第k个窗口的纵坐标,其对应横坐标均为k·Wwidth,α为上下界偏移标准差倍数。In the formula, To calculate the ordinate of the kth window of the upper bound sequence of the data set, /> To calculate the ordinate of the k-th window of the lower bound sequence of the data set, the corresponding abscissa is k·W width , and α is the multiple of the standard deviation of the upper and lower bounds.
上述实施例,通过标准差算法计算得到每个杆体累计伸长量对应的杆体载荷标准差上界和杆体载荷标准差下界,有利于为后续检测锚杆异常提供数据基础。In the above embodiments, the upper bound of the standard deviation of the rod load and the lower bound of the standard deviation of the rod load corresponding to the cumulative elongation of each rod body are calculated through the standard deviation algorithm, which is beneficial to provide a data basis for subsequent detection of abnormalities in the bolt.
在一实施例中,上述预设算法还包括置信区间算法;上述步骤102还包括:In one embodiment, the above-mentioned preset algorithm also includes a confidence interval algorithm; the above-mentioned step 102 also includes:
基于预设置信度水平得到Z值;针对杆体累计伸长量序列中的每个序列值,基于Z值和标准差计算得到每个序列值对应的杆体载荷置信区间上界和杆体载荷置信区间下界;将杆体载荷序列中的全部序列值及其对应的杆体载荷置信区间上界和杆体载荷置信区间下界作为目标数据集。The Z value is obtained based on the preset reliability level; for each sequence value in the cumulative elongation sequence of the rod body, the upper bound of the rod load confidence interval and the lower bound of the rod load confidence interval corresponding to each sequence value are calculated based on the Z value and standard deviation ; Take all sequence values in the rod load sequence and their corresponding upper bound of the rod load confidence interval and lower bound of the rod load confidence interval as the target data set.
其中,置信区间法是一种统计学上的区间估计方法,它用一个区间来估计一个未知的总体参数,例如总体均值、总体比例等。置信区间的含义是,在重复抽样的情况下,有一定的概率(置信水平)保证这个区间包含真实的总体参数,即可以用本区间统计参数来代表全体统计参数的概率。Among them, the confidence interval method is a statistical interval estimation method, which uses an interval to estimate an unknown overall parameter, such as the overall mean, overall proportion, etc. The meaning of the confidence interval is that in the case of repeated sampling, there is a certain probability (confidence level) to ensure that this interval contains the real overall parameters, that is, the statistical parameters of this interval can be used to represent the probability of the overall statistical parameters.
与标准差法得到数据系列的包络线的思想类似,其对区间内散点的刻画包括均值和方差两部分。数据系列的上下包络线分别由窗口范围Wwidth内散点置信区间的上下界来代替。算法的数学描述如下所示:Similar to the idea of obtaining the envelope of the data series by the standard deviation method, its description of the scattered points in the interval includes two parts, the mean and the variance. The upper and lower envelopes of the data series are respectively replaced by the upper and lower bounds of the scatter confidence interval within the window range W width . The mathematical description of the algorithm is as follows:
式中,为计算数据集上界序列第k个窗口的纵坐标,/>为计算数据集下界序列第k个窗口的纵坐标,Z(β)代表置信度水平β对应的统计Z值。In the formula, To calculate the ordinate of the kth window of the upper bound sequence of the data set, /> In order to calculate the ordinate of the kth window of the lower bound sequence of the data set, Z(β) represents the statistical Z value corresponding to the confidence level β.
上述实施例,通过置信区间算法计算得到每个杆体累计伸长量对应的杆体载荷置信区间上界和杆体载荷置信区间下界,有利于为后续检测锚杆异常提供数据基础。In the above embodiment, the upper bound of the rod load confidence interval and the lower bound of the rod load confidence interval corresponding to the cumulative elongation of each rod body are calculated through the confidence interval algorithm, which is beneficial to provide a data basis for subsequent detection of abnormality of the bolt.
在一实施例中,上述预设算法包括最大最小值算法;上述步骤102包括:In one embodiment, the aforementioned preset algorithm includes a maximum and minimum value algorithm; the aforementioned step 102 includes:
将预处理后的杆体累计伸长量按照从小到大的顺序进行排序得到杆体累计伸长量序列;针对杆体累计伸长量序列中的每个序列值,获取与序列值相邻的第三预设滑动窗口内各个序列值对应的杆体载荷,得到第三杆体载荷集合,计算第三杆体载荷集合中的杆体载荷最大值和杆体载荷最小值;将杆体载荷序列中的全部序列值及其对应的杆体载荷最大值和杆体载荷最小值作为目标值集合。Sorting the pretreated cumulative elongation of the rods in ascending order to obtain the cumulative elongation sequence of the rods; for each sequence value in the cumulative elongation sequence of the rods, obtain the third preset Set the rod load corresponding to each sequence value in the sliding window to obtain the third rod load set, and calculate the maximum rod load and the minimum rod load in the third rod load set; combine all the sequence values in the rod load sequence and their corresponding The maximum value of the rod load and the minimum value of the rod load are used as a set of target values.
具体地,为了确保将所有样本点均包含到包络线内,最大最小值法分别采用指定滑动窗口点数Wpoints或窗口尺寸Wwidth内所有采样点的最大值和最小值作为上包络线和下包络线,该方法优势在于计算简单,同时确保包络所有散点。相应的由于不对采样点进行统计分析,其数据的代表能力不足,如果采样点较少,所得的包络线代表性和准确性不足,此外曲线的平滑性不足。算法的数学描述如下:Specifically, in order to ensure that all sample points are included in the envelope, the maximum and minimum method uses the maximum and minimum values of all sampling points within the specified sliding window points W points or window size W width as the upper envelope and Lower envelope, the advantage of this method is that the calculation is simple, and at the same time, it ensures that all scattered points are enveloped. Correspondingly, due to the lack of statistical analysis of the sampling points, the representative ability of the data is insufficient. If there are fewer sampling points, the representativeness and accuracy of the obtained envelope are insufficient, and the smoothness of the curve is insufficient. The mathematical description of the algorithm is as follows:
①滑动窗口点数Wpoints获取:滑动窗口选择固定点数,将原始数据按横坐标排序,针对第i个点,选择到/>的散点描述,可得任一散点的上下界描述结果。① Sliding window points W points acquisition: select a fixed number of points in the sliding window, sort the original data according to the abscissa, and for the i-th point, select to /> The scatter point description of any scatter point can be described by the upper and lower bounds of any scatter point.
式中,ui为计算数据集上界序列第i个点的纵坐标,li为计算数据集下界序列第i个点的纵坐标,max(…),min(…)分别代表求最大值和最小值函数。In the formula, u i is the ordinate of the i-th point in the upper bound sequence of the calculation data set, l i is the ordinate of the i-th point in the lower bound sequence of the calculation data set, max(...), min(...) represent the maximum value and minimum function.
②固定窗口尺寸Wwidth获取:分别描述横坐标为Wwidth,2Wwidth,直到nWwidth所对应位置的上界纵坐标和下界纵坐标/> ②Fixed window size W width acquisition: respectively describe the abscissa as W width , 2W width , and the upper bound ordinate of the position corresponding to nW width and the lower bound ordinate />
式中,为计算数据集上界序列第k个窗口的纵坐标,/>为计算数据集下界序列第k个窗口的纵坐标。In the formula, To calculate the ordinate of the kth window of the upper bound sequence of the data set, /> It is the vertical coordinate of the kth window of the lower bound sequence of the calculation data set.
上述实施例,通过最大值最小值算法计算得到每个杆体累计伸长量对应的杆体载荷最大值和杆体载荷最小值,有利于为后续检测锚杆异常提供数据基础。In the above embodiment, the maximum and minimum load values of the rod body corresponding to the accumulated elongation of each rod body are calculated through the maximum value and minimum value algorithm, which is beneficial to provide a data basis for subsequent detection of abnormality of the bolt.
在一实施例中,上述预设算法包括分位数算法;上述步骤102包括:In one embodiment, the aforementioned preset algorithm includes a quantile algorithm; the aforementioned step 102 includes:
将预处理后的杆体累计伸长量按照从小到大的顺序进行排序得到杆体累计伸长量序列;针对杆体累计伸长量序列中的每个序列值,利用第四预设滑动窗口,在杆体累计伸长量序列上依次选取子窗口;计算每个子窗口中的杆体载荷最大值和杆体载荷最小值;将杆体累计伸长量序列中的全部序列值及其对应的杆体载荷最大值和杆体载荷最小值作为目标值集合。Sorting the pretreated cumulative elongation of rods in ascending order to obtain the cumulative elongation sequence of rods; for each sequence value in the cumulative elongation sequence of rods, using the fourth preset sliding window, Select sub-windows sequentially on the cumulative elongation sequence; calculate the maximum value of the rod load and the minimum value of the rod load in each sub-window; combine all sequence values in the cumulative elongation sequence of the rod and their corresponding maximum rod load and rod load The minimum value is used as the set of target values.
具体地,该算法采用分位数这一指标描述原始数据集,它将数据分为四分之一、中位数、四分之三等,以此反映数据的分布情况。根据设定的上、下分位数,可以确定一个样本数据在整个数据集中处于哪个位置,从而得到数据的包络线。该算法在处理动态数据时非常有用,可以快速了解数据的趋势和变化情况。算法的数学描述如下:Specifically, the algorithm uses the quantile indicator to describe the original data set, which divides the data into quarters, medians, three quarters, etc., to reflect the distribution of the data. According to the set upper and lower quantiles, the position of a sample data in the whole data set can be determined, so as to obtain the envelope of the data. This algorithm is very useful when dealing with dynamic data and can quickly understand the trends and changes in the data. The mathematical description of the algorithm is as follows:
寻找方法:滑动窗口选择固定宽度,将原始数据按横坐标排序,对于第k个窗口,获取横坐标范围在到/>的散点序列并按纵坐标从小到大排序,新序列的横、纵坐标分别记作/>一共M个散点。根据下式确定包络线的上、下界:Finding method: select a fixed width for the sliding window, sort the original data according to the abscissa, and for the kth window, obtain the abscissa within to /> The scatter sequence of the new sequence is sorted from small to large according to the vertical coordinate, and the horizontal and vertical coordinates of the new sequence are respectively recorded as /> There are a total of M scattered points. Determine the upper and lower bounds of the envelope according to the following formula:
式中,为计算数据集上界序列第k个窗口的纵坐标,/>为计算数据集下界序列第k个窗口的纵坐标,Wwidth为窗口尺寸,Pu,Pl分别为上下分位数,M为该区间采样点个数,ku,kl分别代表上下分位数所处的排序下标位置。In the formula, To calculate the ordinate of the kth window of the upper bound sequence of the data set, /> To calculate the ordinate of the kth window of the lower bound sequence of the data set, W width is the window size, P u and P l are the upper and lower quantiles respectively, M is the number of sampling points in this interval, k u and k l represent the upper and lower quantiles respectively The sort subscript position of the digit.
上述实施例,通过分位数算法计算得到每个杆体累计伸长量对应的杆体载荷最大值和杆体载荷最小值,有利于为后续检测锚杆异常提供数据基础。In the above-mentioned embodiment, the maximum value and minimum load value of the rod body corresponding to the cumulative elongation of each rod body are obtained by calculating the quantile algorithm, which is beneficial to provide a data basis for subsequent detection of abnormality of the anchor rod.
本申请还提供一种锚杆选型方法,包括:获取煤矿地层的赋存特征数据;根据工程需要,设计巷道断面的巷道开挖方案;根据以上煤矿地层的赋存特征数据、巷道开挖方案,采用相应的支护设计方法,确定巷道的锚杆支护方案,提出锚杆的动力学参数需求;将锚杆的动力学参数需求与应用上述实施例所记载的锚杆动载响应特征的表征方法所得到的锚杆的动载响应特征曲线进行匹配,根据匹配结果确定锚杆的特征参数。The present application also provides a bolt type selection method, including: obtaining the occurrence characteristic data of the coal mine stratum; , use the corresponding support design method to determine the bolt support scheme of the roadway, and propose the dynamic parameter requirements of the bolt; combine the dynamic parameter requirements of the bolt with the dynamic load response characteristics of the bolt recorded in the above examples The dynamic load response characteristic curve of the bolt obtained by the characterization method is matched, and the characteristic parameters of the bolt are determined according to the matching result.
其中,煤矿地层的赋存特征数据是指施工工程所在地的地层条件,包括岩石强度、裂隙发育程度、地应力等,可根据实际情况灵活选取,本文对此不作限定。Among them, the occurrence characteristic data of the coal mine strata refer to the stratum conditions where the construction project is located, including rock strength, fracture development degree, ground stress, etc., which can be flexibly selected according to the actual situation, and are not limited in this paper.
具体地,当需要进行施工作业时,例如需要建设井下巷道,需要先对当地的地层条件进行探测,通过不同的测量装置获取煤矿地层的赋存特征数据;根据工程需要,设计巷道断面的巷道开挖方案,方案中包括巷道形状和巷道几何尺寸等信息;根据赋存特征数据、巷道开挖方案,确定巷道的锚杆支护方案,提出锚杆的动力学参数需求;将锚杆的动力学参数需求与上述锚杆动载响应特征曲线进行对比、匹配,最终得到所需锚杆的特征参数,包括锚杆粗细、长度、间距、屈服强度等。Specifically, when construction operations are required, such as the construction of an underground roadway, it is necessary to detect the local stratum conditions first, and obtain the occurrence characteristic data of the coal mine stratum through different measuring devices; Excavation plan, which includes roadway shape and roadway geometric dimensions and other information; according to the existing characteristic data and roadway excavation plan, determine the bolt support plan of the roadway, and propose the dynamic parameter requirements of the bolt; The parameter requirements are compared and matched with the above dynamic load response characteristic curve of the anchor, and finally the characteristic parameters of the required anchor are obtained, including the thickness, length, spacing, yield strength, etc. of the anchor.
上述实施例,通过事先试验得到锚杆动载响应特征曲线,其中,不同型号的锚杆的动载响应特征曲线是唯一的,当需要工程建设施工时,根据预先测量得到的地层状况条件与锚杆动载响应特征曲线进行对比匹配,最终得到最佳的锚杆特征参数。与传统的根据实际情况再做试验确定锚杆特征参数的方法相比,本方法能够提高锚杆选型效率,节约重复试验的测试成本,为后续锚杆维护、更换也提供了有效的数据基础。In the above-mentioned embodiment, the dynamic load response characteristic curve of the bolt is obtained through prior tests, wherein the dynamic load response characteristic curves of different types of bolts are unique. The characteristic curves of the dynamic load response of the bolt are compared and matched, and finally the best characteristic parameters of the bolt are obtained. Compared with the traditional method of determining the characteristic parameters of bolts through tests based on actual conditions, this method can improve the efficiency of bolt selection, save the cost of repeated tests, and provide an effective data basis for subsequent maintenance and replacement of bolts. .
下面对本发明提供的锚杆动载响应特征的表征装置进行描述,下文描述的锚杆动载响应特征的表征装置与上文描述的锚杆动载响应特征的表征方法可相互对应参照。The characterization device for the dynamic load response characteristics of the anchor rod provided by the present invention is described below, and the characterization device for the dynamic load response characteristics of the anchor rod described below and the characterization method for the dynamic load response characteristics of the anchor rod described above can be referred to each other.
在一个实施例中,如图4所示,提供了一种锚杆动载响应特征的表征装置,包括:数据获取模块401、数据处理模块402和曲线绘制模块403,其中,In one embodiment, as shown in FIG. 4 , a characterization device for dynamic load response characteristics of a bolt is provided, including: a data acquisition module 401, a data processing module 402, and a curve drawing module 403, wherein,
数据获取模块401,用于获取预处理后的试验数据集;所述预处理后的试验数据集包括在锚杆受到一次或多次冲击直至断裂的过程中,采集到的每次冲击中所述锚杆的杆体载荷、杆体累计伸长量;The data acquisition module 401 is configured to acquire a preprocessed test data set; the preprocessed test data set includes the data described in each impact collected when the bolt is subjected to one or more impacts until it breaks. Rod body load of the anchor rod, cumulative elongation of the rod body;
数据处理模块402,用于通过预设算法对所述预处理后的杆体载荷、所述杆体累计伸长量进行计算,得到目标数据集;其中,所述预设算法包括移动平均值算法、标准差算法、置信区间算法、最大最小值算法和分位数算法中的至少一种;The data processing module 402 is used to calculate the preprocessed rod body load and the cumulative elongation of the rod body through a preset algorithm to obtain a target data set; wherein the preset algorithm includes a moving average algorithm, a standard At least one of difference algorithm, confidence interval algorithm, maximum and minimum algorithm and quantile algorithm;
曲线绘制模块403,以杆体累计伸长量为横坐标,以杆体载荷为纵坐标,绘制得到所述目标数据集对应的目标曲线;所述目标曲线包括上包络线、下包络线和中值线。The curve drawing module 403 draws the target curve corresponding to the target data set with the cumulative elongation of the rod body as the abscissa and the rod body load as the ordinate; the target curve includes an upper envelope, a lower envelope and a middle envelope. value line.
在其中一个实施例中,所述预设算法包括移动平均值算法;上述数据处理模块402,进一步用于:In one of the embodiments, the preset algorithm includes a moving average algorithm; the above-mentioned data processing module 402 is further used for:
将所述预处理后的杆体累计伸长量按照从小到大的顺序进行排序得到杆体累计伸长量序列;针对所述杆体累计伸长量序列中的每个序列值,获取与所述序列值对应的第一预设滑动窗口内各个序列值对应的杆体载荷,得到第一杆体载荷集合,计算所述第一杆体载荷集合的平均值;将所述平均值分别偏离预设百分比,得到每个序列值对应的杆体载荷平均值上界和杆体载荷平均值下界;将所述杆体累计伸长量序列中的全部序列值及其对应的杆体载荷平均值上界和杆体载荷平均值下界作为所述目标数据集。Sorting the pretreated cumulative elongation of rods in ascending order to obtain a sequence of cumulative elongation of rods; for each sequence value in the cumulative elongation of rods, obtaining The rod body load corresponding to each sequence value in the corresponding first preset sliding window is obtained to obtain the first rod body load set, and the average value of the first rod body load set is calculated; the average value is respectively deviated from the preset percentage to obtain each The upper bound of the average value of the rod body load and the lower bound of the average value of the rod body load corresponding to the sequence value; all the sequence values in the cumulative elongation sequence of the rod body and their corresponding upper bound of the average value of the rod body load and the lower bound of the average value of the rod body load are used as the described target dataset.
在其中一个实施例中,所述预设算法包括标准差算法;上述数据处理模块402,进一步用于:In one of the embodiments, the preset algorithm includes a standard deviation algorithm; the above-mentioned data processing module 402 is further used for:
将所述预处理后的杆体累计伸长量按照从小到大的顺序进行排序得到杆体累计伸长量序列;针对所述杆体累计伸长量序列中的每个序列值,获取与所述序列值对应的第二预设滑动窗口内各个序列值对应的杆体载荷,得到第二杆体载荷集合,计算所述第二杆体载荷集合的标准差;将所述标准差分别上下偏离第二预设百分比,得到每个序列值对应的杆体载荷标准差上界和杆体载荷标准差下界;将所述杆体累计伸长量序列中的全部序列值及其对应的杆体载荷标准差上界和杆体载荷标准差下界作为所述目标数据集。Sorting the pretreated cumulative elongation of rods in ascending order to obtain a sequence of cumulative elongation of rods; for each sequence value in the cumulative elongation of rods, obtaining The rod body load corresponding to each sequence value in the corresponding second preset sliding window is obtained to obtain a second rod body load set, and the standard deviation of the second rod body load set is calculated; the standard deviation is respectively deviated from the second preset percentage, Obtain the upper bound of the standard deviation of the rod body load and the lower bound of the standard deviation of the rod body load corresponding to each sequence value; combine all the sequence values in the cumulative elongation sequence of the rod body and their corresponding upper bound of the standard deviation of the rod body load standard deviation and the lower bound of the standard deviation of the rod body load as the target dataset.
在其中一个实施例中,所述预设算法还包括置信区间算法;上述上述数据处理模块402,进一步用于:In one of the embodiments, the preset algorithm also includes a confidence interval algorithm; the above-mentioned data processing module 402 is further used for:
基于预设置信度水平得到Z值;针对所述杆体累计伸长量序列中的每个序列值,基于所述Z值和所述标准差计算得到每个序列值对应的杆体载荷置信区间上界和杆体载荷置信区间下界;将所述杆体累计伸长量序列中的全部序列值及其对应的杆体载荷置信区间上界和杆体载荷置信区间下界作为所述目标数据集。Obtain the Z value based on the preset reliability level; for each sequence value in the cumulative elongation sequence of the rod body, calculate the upper bound of the confidence interval of the rod body load corresponding to each sequence value based on the Z value and the standard deviation and the lower bound of the rod load confidence interval; all sequence values in the rod cumulative elongation sequence and their corresponding rod load confidence interval upper bounds and rod load confidence interval lower bounds are used as the target data set.
在其中一个实施例中,所述预设算法包括最大最小值算法;上述数据处理模块402,进一步用于:In one of the embodiments, the preset algorithm includes a maximum and minimum value algorithm; the above-mentioned data processing module 402 is further used for:
将所述预处理后的杆体累计伸长量按照从小到大的顺序进行排序得到杆体累计伸长量序列;针对所述杆体累计伸长量序列中的每个序列值,获取与所述序列值相邻的第三预设滑动窗口内各个序列值对应的杆体载荷,得到第三杆体载荷集合,计算所述第三杆体载荷集合中的杆体载荷最大值和杆体载荷最小值;将所述杆体累计伸长量序列中的全部序列值及其对应的杆体载荷最大值和杆体载荷最小值作为所述目标值集合。Sorting the pretreated cumulative elongation of rods in ascending order to obtain a sequence of cumulative elongation of rods; for each sequence value in the cumulative elongation of rods, obtaining The rod body load corresponding to each sequence value in the adjacent third preset sliding window is obtained to obtain a third rod body load set, and the maximum value of the rod body load and the minimum value of the rod body load in the third rod body load set are calculated; All sequence values in the elongation sequence and their corresponding maximum rod load and minimum rod load are used as the set of target values.
在其中一个实施例中,所述预设算法包括分位数算法;上述数据处理模块402,进一步用于:In one of the embodiments, the preset algorithm includes a quantile algorithm; the above-mentioned data processing module 402 is further used for:
将所述预处理后的杆体累计伸长量按照从小到大的顺序进行排序得到杆体累计伸长量序列;针对所述杆体累计伸长量序列中的每个序列值,利用第四预设滑动窗口,在所述杆体累计伸长量序列上依次选取子窗口;计算每个子窗口中的杆体载荷最大值和杆体载荷最小值;将所述杆体累计伸长量序列中的全部序列值及其对应的杆体载荷最大值和杆体载荷最小值作为所述目标值集合。Sorting the pretreated cumulative elongation of rods in ascending order to obtain a sequence of cumulative elongation of rods; for each sequence value in the cumulative elongation of rods, use the fourth preset slide window, select sub-windows sequentially on the cumulative elongation sequence of the rod body; calculate the maximum value of the rod body load and the minimum value of the rod body load in each sub-window; The maximum value of the rod load and the minimum value of the rod load are used as the set of target values.
在其中一个实施例中,如图5所示,提供了一种锚杆选型装置,包括:地层状况数据获取模块501、巷道开挖方案设计模块502和锚杆特征参数确定模块503,其中,In one of the embodiments, as shown in FIG. 5 , a bolt type selection device is provided, including: a formation condition data acquisition module 501, a roadway excavation scheme design module 502, and a bolt characteristic parameter determination module 503, wherein,
地层状况数据获取模块501,用于获取煤矿地层的赋存特征数据;The stratum condition data acquisition module 501 is used to acquire the occurrence characteristic data of the coal mine strata;
巷道开挖方案设计模块502,用于根据所述赋存特征数据、所述巷道开挖方案,采用相应的支护设计方法,确定巷道的锚杆支护方案;所述锚杆支护方案中包括锚杆的动力学参数需求;The roadway excavation scheme design module 502 is used to determine the bolting scheme of the roadway according to the occurrence characteristic data and the roadway excavation scheme, using the corresponding support design method; Including the dynamic parameter requirements of the bolt;
锚杆特征参数确定模块503,用于将锚杆的动力学参数需求与应用上述锚杆动载响应特征的表征方法所得到的锚杆的动载响应特征曲线进行匹配,根据匹配结果确定锚杆的最佳特征参数,从而完成锚杆的选型。The bolt characteristic parameter determination module 503 is used to match the dynamic parameter requirements of the bolt with the dynamic load response characteristic curve of the bolt obtained by applying the above-mentioned characterization method of the dynamic load response characteristic of the bolt, and determine the bolt according to the matching result The best characteristic parameters, so as to complete the selection of the bolt.
图6示例了一种电子设备的实体结构示意图,如图6所示,该电子设备可以包括:处理器(processor)610、通信接口(Communications Interface)620、存储器(memory)630和通信总线640,其中,处理器610,通信接口620,存储器630通过通信总线640完成相互间的通信。处理器610可以调用存储器630中的逻辑指令,以执行锚杆动载响应特征的表征方法,该方法包括:获取预处理后的试验数据集;预处理后的试验数据集包括在锚杆受到一次或多次冲击直至断裂的过程中,采集到的每次冲击中锚杆的杆体载荷、杆体累计伸长量;通过预设算法对预处理后的杆体载荷、杆体累计伸长量进行计算,得到目标数据集;其中,预设算法包括移动平均值算法、标准差算法、置信区间算法、最大最小值算法和分位数算法中的至少一种;以杆体累计伸长量为横坐标,以杆体载荷为纵坐标,绘制得到目标数据集对应的目标曲线;目标曲线包括上包络线、下包络线和中值线。FIG. 6 illustrates a schematic diagram of the physical structure of an electronic device. As shown in FIG. 6, the electronic device may include: a processor (processor) 610, a communication interface (Communications Interface) 620, a memory (memory) 630 and a communication bus 640, Wherein, the processor 610 , the communication interface 620 , and the memory 630 communicate with each other through the communication bus 640 . The processor 610 can call the logic instructions in the memory 630 to execute the method for characterizing the dynamic load response characteristics of the bolt. The method includes: obtaining a preprocessed test data set; the preprocessed test data set includes In the process of multiple impacts or multiple impacts until fracture, the collected rod load and cumulative elongation of the anchor rod in each impact; the pre-processed rod load and the cumulative elongation of the rod are calculated by the preset algorithm to obtain The target data set; wherein, the preset algorithm includes at least one of the moving average algorithm, standard deviation algorithm, confidence interval algorithm, maximum and minimum algorithm and quantile algorithm; the cumulative elongation of the rod is the abscissa, and the rod body The load is the ordinate, and the target curve corresponding to the target data set is drawn; the target curve includes an upper envelope, a lower envelope, and a median line.
此外,上述的存储器630中的逻辑指令可以通过软件功能单元的形式实现并作为独立的产品销售或使用时,可以存储在一个计算机可读取存储介质中。基于这样的理解,本发明的技术方案本质上或者说对现有技术做出贡献的部分或者该技术方案的部分可以以软件产品的形式体现出来,该计算机软件产品存储在一个存储介质中,包括若干指令用以使得一台计算机设备(可以是个人计算机,服务器,或者网络设备等)执行本发明各个实施例所述方法的全部或部分步骤。而前述的存储介质包括:U盘、移动硬盘、只读存储器(ROM,Read-Only Memory)、随机存取存储器(RAM,Random Access Memory)、磁碟或者光盘等各种可以存储程序代码的介质。In addition, the logic instructions in the above-mentioned memory 630 may be implemented in the form of software functional units and when sold or used as an independent product, may be stored in a computer-readable storage medium. Based on this understanding, the essence of the technical solution of the present invention or the part that contributes to the prior art or the part of the technical solution can be embodied in the form of a software product, and the computer software product is stored in a storage medium, including Several instructions are used to make a computer device (which may be a personal computer, a server, or a network device, etc.) execute all or part of the steps of the methods described in various embodiments of the present invention. The aforementioned storage medium includes: U disk, mobile hard disk, read-only memory (ROM, Read-Only Memory), random access memory (RAM, Random Access Memory), magnetic disk or optical disk and other media that can store program codes. .
另一方面,本发明还提供一种计算机程序产品,所述计算机程序产品包括计算机程序,计算机程序可存储在非暂态计算机可读存储介质上,所述计算机程序被处理器执行时,计算机能够执行上述各方法所提供的锚杆动载响应特征的表征方法或锚杆选型方法,该锚杆动载响应特征的表征方法包括:获取预处理后的试验数据集;预处理后的试验数据集包括在锚杆受到一次或多次冲击直至断裂的过程中,采集到的每次冲击中锚杆的杆体载荷、杆体累计伸长量;通过预设算法对预处理后的杆体载荷、杆体累计伸长量进行计算,得到目标数据集;其中,预设算法包括移动平均值算法、标准差算法、置信区间算法、最大最小值算法和分位数算法中的至少一种;以杆体累计伸长量为横坐标,以杆体载荷为纵坐标,绘制得到目标数据集对应的目标曲线;目标曲线为锚杆的动载响应特征曲线,所述动载响应特征曲线包括上包络线、下包络线和中值线。该锚杆选型方法包括:获取地层状况数据;将所述地层状况数据与应用上述锚杆动载响应特征的表征方法所得到的锚杆的动载响应特征曲线进行匹配,根据匹配结果确定锚杆的特征参数。On the other hand, the present invention also provides a computer program product. The computer program product includes a computer program that can be stored on a non-transitory computer-readable storage medium. When the computer program is executed by a processor, the computer can Perform the characterization method or bolt type selection method of the dynamic load response characteristics of the anchor provided by the above methods. The characterization method of the dynamic load response characteristics of the anchor includes: obtaining the preprocessed test data set; the preprocessed test data The collection includes the rod body load and the cumulative elongation of the rod body in each impact collected during the process of the bolt being subjected to one or more impacts until it breaks; The elongation is calculated to obtain the target data set; wherein, the preset algorithm includes at least one of the moving average algorithm, the standard deviation algorithm, the confidence interval algorithm, the maximum and minimum value algorithm, and the quantile algorithm; The quantity is the abscissa, and the rod load is the ordinate, and the target curve corresponding to the target data set is obtained by drawing; the target curve is the dynamic load response characteristic curve of the bolt, and the dynamic load response characteristic curve includes an upper envelope, a lower envelope line and median line. The bolt type selection method includes: obtaining stratum condition data; matching the stratum condition data with the dynamic load response characteristic curve of the bolt obtained by applying the characterization method of the dynamic load response characteristic of the anchor bolt, and determining the anchor bolt according to the matching result. Characteristic parameters of the rod.
又一方面,本发明还提供一种非暂态计算机可读存储介质,其上存储有计算机程序,该计算机程序被处理器执行时实现以执行上述各方法提供的锚杆动载响应特征的表征方法或锚杆选型方法,该锚杆动载响应特征的表征方法包括:获取预处理后的试验数据集;预处理后的试验数据集包括在锚杆受到一次或多次冲击直至断裂的过程中,采集到的每次冲击中锚杆的杆体载荷、杆体累计伸长量;通过预设算法对预处理后的杆体载荷、杆体累计伸长量进行计算,得到目标数据集;其中,预设算法包括移动平均值算法、标准差算法、置信区间算法、最大最小值算法和分位数算法中的至少一种;以杆体累计伸长量为横坐标,以杆体载荷为纵坐标,绘制得到目标数据集对应的目标曲线;目标曲线为锚杆的动载响应特征曲线,所述动载响应特征曲线包括上包络线、下包络线和中值线。该锚杆选型方法包括:获取地层状况数据;将所述地层状况数据与应用上述锚杆动载响应特征的表征方法所得到的锚杆的动载响应特征曲线进行匹配,根据匹配结果确定锚杆的特征参数。In yet another aspect, the present invention also provides a non-transitory computer-readable storage medium, on which a computer program is stored, and when the computer program is executed by a processor, it is implemented to perform the characterization of the dynamic load response characteristics of the bolt provided by the above-mentioned methods. method or bolt type selection method, the characterization method of the dynamic load response characteristics of the bolt includes: obtaining the preprocessed test data set; Among them, the rod body load and the cumulative elongation of the bolt in each impact are collected; the preprocessed rod load and the cumulative elongation of the rod are calculated by the preset algorithm to obtain the target data set; among them, the preset The algorithm includes at least one of the moving average algorithm, the standard deviation algorithm, the confidence interval algorithm, the maximum and minimum value algorithm and the quantile algorithm; the cumulative elongation of the rod body is taken as the abscissa, and the rod load is used as the ordinate to draw the target The target curve corresponding to the data set; the target curve is the dynamic load response characteristic curve of the bolt, and the dynamic load response characteristic curve includes an upper envelope, a lower envelope and a median line. The bolt type selection method includes: obtaining stratum condition data; matching the stratum condition data with the dynamic load response characteristic curve of the bolt obtained by applying the characterization method of the dynamic load response characteristic of the anchor bolt, and determining the anchor bolt according to the matching result. Characteristic parameters of the rod.
以上所描述的装置实施例仅仅是示意性的,其中所述作为分离部件说明的单元可以是或者也可以不是物理上分开的,作为单元显示的部件可以是或者也可以不是物理单元,即可以位于一个地方,或者也可以分布到多个网络单元上。可以根据实际的需要选择其中的部分或者全部模块来实现本实施例方案的目的。本领域普通技术人员在不付出创造性的劳动的情况下,即可以理解并实施。The device embodiments described above are only illustrative, and the units described as separate components may or may not be physically separated, and the components shown as units may or may not be physical units, that is, they may be located in One place, or it can be distributed to multiple network elements. Part or all of the modules can be selected according to actual needs to achieve the purpose of the solution of this embodiment. It can be understood and implemented by those skilled in the art without any creative effort.
通过以上的实施方式的描述,本领域的技术人员可以清楚地了解到各实施方式可借助软件加必需的通用硬件平台的方式来实现,当然也可以通过硬件。基于这样的理解,上述技术方案本质上或者说对现有技术做出贡献的部分可以以软件产品的形式体现出来,该计算机软件产品可以存储在计算机可读存储介质中,如ROM/RAM、磁碟、光盘等,包括若干指令用以使得一台计算机设备(可以是个人计算机,服务器,或者网络设备等)执行各个实施例或者实施例的某些部分所述的方法。Through the above description of the implementations, those skilled in the art can clearly understand that each implementation can be implemented by means of software plus a necessary general-purpose hardware platform, and of course also by hardware. Based on this understanding, the essence of the above technical solution or the part that contributes to the prior art can be embodied in the form of software products, and the computer software products can be stored in computer-readable storage media, such as ROM/RAM, magnetic discs, optical discs, etc., including several instructions to make a computer device (which may be a personal computer, server, or network device, etc.) execute the methods described in various embodiments or some parts of the embodiments.
最后应说明的是:以上实施例仅用以说明本发明的技术方案,而非对其限制;尽管参照前述实施例对本发明进行了详细的说明,本领域的普通技术人员应当理解:其依然可以对前述各实施例所记载的技术方案进行修改,或者对其中部分技术特征进行等同替换;而这些修改或者替换,并不使相应技术方案的本质脱离本发明各实施例技术方案的精神和范围。Finally, it should be noted that: the above embodiments are only used to illustrate the technical solutions of the present invention, rather than to limit them; although the present invention has been described in detail with reference to the foregoing embodiments, those of ordinary skill in the art should understand that: it can still be Modifications are made to the technical solutions described in the foregoing embodiments, or equivalent replacements are made to some of the technical features; and these modifications or replacements do not make the essence of the corresponding technical solutions deviate from the spirit and scope of the technical solutions of the various embodiments of the present invention.
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