TWI574722B - Spherical coordinates orientating mechanism - Google Patents
Spherical coordinates orientating mechanism Download PDFInfo
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本發明為一種球座標轉向機構,可裝設多種酬載如扭力輸出裝置、伸縮舉昇機構、車床夾持模組、雷射切割鑽削主軸、半球投影幕或電視牆、觀測定位裝置或駕駛模擬座艙,可應用於多軸複合加工中心機或多次元檢測量床、慣量或力矩變動大之搬運機械臂,室內空間轉向遊樂器或戰機駕駛訓練機、多人戶外空間轉向遊樂機構或大型天文望遠鏡承座。 The invention relates to a ball coordinate steering mechanism, which can be equipped with various payloads such as a torque output device, a telescopic lifting mechanism, a lathe clamping module, a laser cutting drilling spindle, a hemispherical projection screen or a video wall, an observation positioning device or driving. Simulated cockpit, can be applied to multi-axis composite machining center or multi-component detection bed, handling robot with large inertia or torque variation, indoor space steering game or fighter driving training machine, multi-person outdoor space steering amusement mechanism or large astronomy Telescope seat.
現行常用於球面經緯度運動之機構為傳統的平衡環式(Gimbals)機構。平衡環式機構允許動力承載以大角度甚至連續旋轉。但是此機構係逐環架構。動力承載須置於內環,馬達及齒輪箱鍵接於內環驅動為動力承載對緯度軸旋轉,於是外環之馬達及齒輪箱就須負荷動力承載加內環之馬達及齒輪箱的慣量,方能驅動外環對經度軸旋轉。若動力承載體積或慣量龐大則內環與外環半徑亦須擴增,致使龐大的操作空間難以類比其承載容積。而且平衡環式機構因逐環架構亦會伴生電訊傳輸、線束纏繞等問題。 The current mechanism commonly used for spherical latitude and longitude movement is the traditional balanced gimbal mechanism. The gimbal mechanism allows the power bearing to rotate at a large angle or even continuously. But this organization is a ring-by-loop architecture. The power bearing shall be placed in the inner ring, and the motor and the gear box shall be connected to the inner ring to drive the power bearing to rotate the latitude axis, so the motor and the gear box of the outer ring shall be loaded with the inertia of the motor and the gear box of the inner ring. The outer ring can be driven to rotate the longitude axis. If the power bearing volume or inertia is large, the inner and outer ring radii must also be augmented, making it difficult to approximate the bulk of the operating space. Moreover, the balanced ring mechanism is also associated with problems such as telecommunication transmission and harness winding due to the ring-by-loop architecture.
為補傳統平衡環式(Gimbals)機構之不足,稍早乃發明(US8,579,714B2),可簡述為:雙四面體結構端線共心軸接四組內、外軌弧桿之三旋轉自由度轉向機構。稍早之發明(US8,579,714B2)因將酬載艙裝設於內框四面體結構之內,可應用於室內空間轉向遊樂器或戰機多軸轉向駕駛訓練儀。本發明相較稍早之發明最大增進在於新設一組以上之終端弧桿組合件。稍早之發明因無終端弧桿組合件之牽絆,故球座標轉向運動空間較大,但本發明卻藉此終端弧桿組合件得以將扭力輸出而成球座標運動之轉向機構。 In order to supplement the shortcomings of the traditional balanced gimbals (Gimbals), it was invented earlier (US8,579,714B2), which can be briefly described as: the double tetrahedral structure end line concentrically connected to the four sets of inner and outer rail arcs Degree of freedom steering mechanism. Earlier inventions (US 8,579,714 B2) were used to install the payload compartment in the inner frame tetrahedral structure and can be applied to indoor space steering amusement instruments or fighter multi-axis steering driving trainers. The greatest improvement of the invention compared to earlier inventions is the creation of more than one set of terminal arc assemblies. Earlier inventions were not supported by the terminal arc-rod assembly, so the ball coordinate steering space was large, but the present invention used this terminal arc-rod assembly to output the torque to the steering mechanism of the ball coordinate motion.
本發明包含有:一外框結構組合件(4)、四外軌弧桿組(3)、四內軌弧桿組(2)、一內框結構組合件(1)與終端弧桿組合件(5)。本發明之組合配置立體視圖如圖1,前視圖與側視圖如圖2、3。 The invention comprises: an outer frame structure assembly (4), a four outer rail arc bar group (3), a four inner rail arc bar group (2), an inner frame structure assembly (1) and a terminal arc bar assembly. (5). A perspective view of the combined configuration of the present invention is shown in Figure 1, and a front view and a side view are shown in Figures 2 and 3.
外框結構組合件(4):一外框四面體結構(以下簡稱外框結構),外框結構(4o)之四端角分別軸接四組外框轉動裝置(4a),四組內框轉動裝置可裝設於內框結構(1o)四端角之內,再分別鍵結外軌弧桿(4o),如圖3。 The outer frame structure assembly (4): an outer frame tetrahedral structure (hereinafter referred to as the outer frame structure), the four end corners of the outer frame structure (4o) are respectively connected to four sets of outer frame rotating devices (4a), four inner frames The rotating device can be installed in the four end angles of the inner frame structure (1o), and then the outer rail arc bars (4o) are respectively respectively connected, as shown in FIG.
外軌弧桿組(3)與內軌弧桿組(2):外軌弧桿(3o)之外端以外接軸芯(3a)與外框轉動裝置(4a)出力軸鍵結,四組外框轉動裝置亦可裝設於外框結構(4o)四端角之外,外軌弧桿(3o)與內軌弧桿(2o)以中接軸芯(3b)軸接,內軌弧桿(2o)之內端以內接軸芯(2a)軸接於內框轉動裝置(1a),如圖4。 External rail arc bar group (3) and inner rail arc bar group (2): outer rail arc bar (3o) outer end outer shaft core (3a) and outer frame rotating device (4a) output shaft keying, four groups The outer frame rotating device can also be installed outside the four-end corner of the outer frame structure (4o), and the outer rail arc bar (3o) and the inner rail arc bar (2o) are axially connected with the middle connecting shaft core (3b), and the inner rail arc The inner end of the rod (2o) is axially connected to the inner frame rotating device (1a) by an inner connecting shaft core (2a), as shown in FIG.
內框結構組合件(1):一內框四面體結構(以下簡稱內框結構),內框結構(1o)之四端角內分別裝設四組內框轉動裝置(1a)以分別軸接內軌弧桿(2o)。該內框結構(1o)內,安裝一內框托架(1b),以裝載內框酬載。如圖5。四組內框轉動裝置(1a)亦可裝設於內框結構(1o)四端角之外,四組外框轉動裝置(4a)可裝設於外框結構(4o)四端角之內,如圖6。 Inner frame structure assembly (1): an inner frame tetrahedral structure (hereinafter referred to as inner frame structure), four inner frame rotating devices (1a) are respectively arranged in the four end corners of the inner frame structure (1o) to respectively respectively Inner rail arc (2o). In the inner frame structure (1o), an inner frame bracket (1b) is installed to load the inner frame payload. As shown in Figure 5. The four sets of inner frame rotating devices (1a) may also be installed outside the four end corners of the inner frame structure (1o), and the four sets of outer frame rotating devices (4a) may be installed within the four end corners of the outer frame structure (4o) , as shown in Figure 6.
以上係稍早之發明(US8,579,714B2)之構型特徵,本發明與稍早之發明最大增進在於新設一組以上之終端 弧桿組合件(5),包含有:一終端弧桿(5x)軸接一終端轉動裝置(5a)與一終端承載(5e)。終端弧桿組合件(5)之裝設可分為外框式與內框式,終端弧桿組合件(5)之數量又可分單組式與雙組式。圖1、2、3所示,為單組外框式終端承載(5e)可為工具機之夾持模組或量測定位裝置,可應用於多軸複合加工中心機或多次元檢測量床。單組內框式,終端承載(5e)可為舉昇機構,如氣壓缸、油壓缸或電動螺旋桿,可應用於機械人之肩關結或髖關結。 The above is a configuration feature of the earlier invention (US 8,579,714 B2), and the greatest improvement of the invention and earlier invention is that a new set of terminals is newly established. The arc bar assembly (5) comprises: a terminal arc bar (5x) coupled to a terminal rotating device (5a) and a terminal bearing (5e). The installation of the terminal arc bar assembly (5) can be divided into a frame type and an inner frame type, and the number of the terminal arc bar assembly pieces (5) can be divided into a single group type and a double frame type. As shown in Figures 1, 2 and 3, the single-frame external frame terminal (5e) can be a clamping module or a measuring device of the machine tool, and can be applied to a multi-axis composite machining center machine or a multi-component detection measuring bed. . The single-frame inner frame type, the terminal load (5e) can be a lifting mechanism, such as a pneumatic cylinder, a hydraulic cylinder or an electric screw, which can be applied to a shoulder joint or a hip joint of a robot.
外框式,一終端弧桿(5x)與一外軌弧桿(3o)共軸裝設於外框結構(4o)之任一端角上,以向心軌道運轉於內軌弧桿(2o)與內框結構(1o)之間,終端轉動裝置(5a)可適時驅動終端承載(5e)迴避任一內軌弧桿(2o)與任一外軌弧桿(3o)之干涉,以達設定的球座標轉向角度與動量。外框結構(4o)可設計為閉環式結構以強化剛性避免振動或變形,內框結構(1o)則可設計成開環式結構,以減免球座標轉向機構運轉時,終端承載(5e)與內框結構(1o)可能之干涉。如圖7。 The outer frame type, a terminal arc bar (5x) and an outer rail arc bar (3o) are coaxially mounted on either end corner of the outer frame structure (4o), and run on the inner rail arc bar (2o) in a centripetal orbital manner. Between the inner frame structure (1o), the terminal rotating device (5a) can drive the terminal load (5e) in time to avoid interference between any inner rail arc bar (2o) and any outer rail arc bar (3o) to achieve setting The ball coordinates turn angle and momentum. The outer frame structure (4o) can be designed as a closed-loop structure to strengthen the rigidity to avoid vibration or deformation, and the inner frame structure (1o) can be designed as an open-loop structure to reduce the movement of the ball coordinate steering mechanism when the terminal is loaded (5e) and The inner frame structure (1o) may interfere. As shown in Figure 7.
內框式之終端弧桿(5x)與內軌弧桿(2o)共軸裝設於內框結構(1o)之任一端角上,以向心軌道運轉於外軌弧桿(3o)與外框結構(4o)之間,終端轉動裝置(5a)可適時驅動終端承載(5e)迴避內軌弧桿(2o)與外軌弧桿(3o)之干涉,以達設定的球座標轉向角度與動量。內框結構(1o)可設計為閉環式結構以強化剛性避免振動或變形,外框結構(4o)則可設計成開環式 結構,以減免球座標轉向機構運轉時,終端承載(5e)與外框結構(4o)可能之干涉。如圖8。 The inner frame type end arc bar (5x) and the inner rail arc bar (2o) are coaxially mounted on either end corner of the inner frame structure (1o), and run in a centripetal orbit to the outer rail arc bar (3o) and outside. Between the frame structure (4o), the terminal rotating device (5a) can drive the terminal bearing (5e) to avoid interference between the inner rail arc bar (2o) and the outer rail arc bar (3o) to achieve the set ball coordinate steering angle and momentum. The inner frame structure (1o) can be designed as a closed-loop structure to strengthen the rigidity to avoid vibration or deformation, and the outer frame structure (4o) can be designed as an open-loop type. The structure, in order to reduce the movement of the ball coordinate steering mechanism, the terminal load (5e) and the outer frame structure (4o) may interfere. As shown in Figure 8.
外框轉動裝置(4a)可為扭力輸出器或角度檢知器,內框轉動裝置(1a)可為扭力輸出器或角度檢知器,其中同一組內外軌弧桿組所串接之外框轉動裝置與內框轉動裝置須至少有一為扭力輸出器。扭力輸出器可為馬達或油壓旋轉缸,經由外軌弧桿(3o)與內軌弧桿(2o)以傳遞輸出扭力或轉矩,致動內框托架(1b)上之內框酬載(1e)或外框托架(4b)上之外框酬載(4e),進行球座標轉向運動。角度檢知器如光學編碼器,以量測內軌弧桿(2o)與內框結構(1o)或外軌弧桿(3o)與外框結構(4o)之相對角度變化,以供精密校驗球座標機構之轉向角度。終端轉動裝置(5a)為一扭力輸出器或一轉動固定器,以適時驅動終端弧桿(5x),減免終端承載(5e)與內框結構(1o)或外框結構(4o)可能之干涉。 The outer frame rotating device (4a) may be a torque output device or an angle detecting device, and the inner frame rotating device (1a) may be a torque output device or an angle detecting device, wherein the same group of inner and outer rail arc bar groups are connected in series The rotating device and the inner frame rotating device must have at least one torque output device. The torque output device can be a motor or a hydraulic rotary cylinder, and transmits the output torque or torque through the outer rail arc rod (3o) and the inner rail arc rod (2o) to actuate the inner frame on the inner frame bracket (1b). The outer frame carrier (4e) on the carrier (1e) or the outer frame bracket (4b) performs the ball coordinate steering motion. An angle detector such as an optical encoder measures the relative angular change of the inner rail arc (2o) and the inner frame structure (1o) or the outer rail arc (3o) and the outer frame structure (4o) for precision calibration The steering angle of the ball coordinate mechanism. The terminal rotating device (5a) is a torsion output device or a rotation fixing device to drive the terminal arc bar (5x) in time to reduce possible interference between the terminal bearing (5e) and the inner frame structure (1o) or the outer frame structure (4o). .
內框式或外框式皆可裝設二組終端弧桿組合件,外框結構(4o)與內框結構(1o)可設計成精簡共構之中軸式四面體結構,以減免終端承載(5e)與內框結構(1o)或外框結構(4o)可能之干涉。雙組外框式,二終端弧桿(5x)與二外軌弧桿(3o)共軸裝設於外框結構(4o)之任二端角上,以向心軌道運轉於任一內軌弧桿(2o)與內框結構(1o)之間,外框結構(4o)可設計為閉環式結構以強化剛性避免振動或變形,內框結構(1o)與內框托架(1b)可共構設計成中軸式內框四面體結構,如圖9。 Two sets of terminal arc-rod assemblies can be installed in the inner frame or the outer frame type, and the outer frame structure (4o) and the inner frame structure (1o) can be designed to simplify the co-construction intermediate axis tetrahedral structure to reduce terminal load ( 5e) Possible interference with the inner frame structure (1o) or the outer frame structure (4o). Two sets of outer frame type, two terminal arc rods (5x) and two outer rail arc rods (3o) are coaxially mounted on any two end corners of the outer frame structure (4o), and run on any inner rail in a centripetal orbital manner. Between the arc rod (2o) and the inner frame structure (1o), the outer frame structure (4o) can be designed as a closed loop structure to strengthen the rigidity to avoid vibration or deformation, and the inner frame structure (1o) and the inner frame bracket (1b) can be The co-construction is designed as a central axis inner frame tetrahedral structure, as shown in Fig. 9.
雙組內框式,二終端弧桿(5x)與二內軌弧桿(2o)共軸裝設於內框結構(1o)之任二端角上,以向心軌道運轉於任一外軌弧桿(3o)與外框結構(4o)之間,內框結構(1o)可設計為閉環式結構以強化剛性避免振動或變形,外框結構(4o)與外框托架(4b)可共構設計成中軸式外框四面體結構,如圖10。 Two sets of inner frame type, two terminal arc rods (5x) and two inner rail arc rods (2o) are coaxially mounted on any two end corners of the inner frame structure (1o), and run on any outer rail in a centripetal orbital manner. Between the arc rod (3o) and the outer frame structure (4o), the inner frame structure (1o) can be designed as a closed loop structure to strengthen the rigidity to avoid vibration or deformation, and the outer frame structure (4o) and the outer frame bracket (4b) can be The co-construction is designed as a mid-axis frame tetrahedral structure, as shown in Figure 10.
雙組式相較單組式多一組終端弧桿組合件,球座標轉向機構運動時更易與內、外框結構干涉,故運動空間較小,但雙組式也因多一組終端弧桿組合件而有更多元的應用。以下分別介紹四種實施例:雙組外框式與雙組內框式、雙組中軸外框式與雙組中軸內框式。 Compared with the single-group and one set of terminal arc-rod assemblies, the two-group steering mechanism is more likely to interfere with the inner and outer frame structures when moving, so the movement space is smaller, but the two-group is also due to a group of terminal arcs. The assembly has more applications. The following four embodiments are respectively introduced: a two-group outer frame type and a double set inner frame type, a double set middle axis outer frame type, and a double set middle axis inner frame type.
雙組外框式,二終端弧桿(5x)與二外軌弧桿(3o)共軸裝設於外框結構(4o)之任二端角上,以向心軌道運轉於任一內軌弧桿(2o)與內框結構(1o)之間,二組終端承載(5e)可裝設為車床夾持模組,二車床夾持模組遙相對立於外框結構(4o)內,內框托架(1b)上之內框酬載(1e)可裝設雷射切割或鑽削主軸,可應用於多軸複合加工機,如圖11、12、13。 Two sets of outer frame type, two terminal arc rods (5x) and two outer rail arc rods (3o) are coaxially mounted on any two end corners of the outer frame structure (4o), and run on any inner rail in a centripetal orbital manner. Between the arc pole (2o) and the inner frame structure (1o), the two sets of terminal carrying (5e) can be installed as a lathe clamping module, and the two lathe clamping modules are remotely opposed to the outer frame structure (4o). The inner frame payload (1e) on the inner frame bracket (1b) can be equipped with a laser cutting or drilling spindle, which can be applied to a multi-axis composite processing machine, as shown in Figures 11, 12 and 13.
雙組內框式,二終端弧桿(5x)與二內軌弧桿(2o)共軸裝設於內框結構(1o)之任二端角上,以向心軌道運轉於任一外軌弧桿(3o)與外框結構(4o)之間,二終端承載(5e)可裝設力臂伸縮之舉昇機構,二舉昇機構遙相對立於內框結構(1o)外,相互配平以減少力矩變動,可應用於慣量大或力矩變動大之搬運機械臂,如圖14、15、16。 Two sets of inner frame type, two terminal arc rods (5x) and two inner rail arc rods (2o) are coaxially mounted on any two end corners of the inner frame structure (1o), and run on any outer rail in a centripetal orbital manner. Between the arc rod (3o) and the outer frame structure (4o), the two end bearing (5e) can be equipped with a lifting mechanism for the expansion and contraction of the force arm, and the second lifting mechanism is opposite to the inner frame structure (1o), and is balanced with each other. In order to reduce the torque variation, it can be applied to the handling robot with large inertia or large torque variation, as shown in Figures 14, 15, and 16.
雙組中軸外框式,搭配中軸式內框四面體結構(1o),中軸式內框結構(1o)可減免與終端承載(5e)干涉。外框結構(4o)可設計為閉環式結構以強化剛性避免振動或變形。二終端承載(5e)可裝設為半球幕架,二半球幕架遙相對立於外框結構(4o)內,半球幕架上置投影幕或電視牆。中軸式內框托架(1b)之內框酬載(1e)可裝設駕駛模擬座艙,可應用於室內空間轉向遊樂器或戰機駕駛訓練機,如圖17、18、19。 The two sets of the outer shaft frame type, with the middle shaft type inner frame tetrahedral structure (1o), the middle shaft type inner frame structure (1o) can reduce the interference with the terminal load (5e). The outer frame structure (4o) can be designed as a closed loop structure to strengthen the rigidity to avoid vibration or deformation. The two terminal bearers (5e) can be installed as a hemisphere screen frame, and the second hemisphere screen frame is relatively opposed to the outer frame structure (4o). The hemispherical screen frame is provided with a projection screen or a video wall. The inner frame carrier (1b) of the inner-axis inner frame bracket (1b) can be equipped with a driving simulation cockpit, which can be applied to an indoor space steering game or a fighter driving training machine, as shown in Figs. 17, 18, and 19.
雙組中軸內框式,搭配中軸式外框四面體結構(4o),中軸式外框結構(4o)可減免與終端承載(5e)干涉。內框結構(1o)可設計為閉環式結構以強化剛性避免振動或變形。二終端承載(5e)可裝設為半球傘架,二半球傘架遙相對立於內框結構(1o)外,半球傘架上可設置多人座共乘艙或大型望遠鏡。中軸式外框托架(4b)為設計容許超大慣量承載。可應用於多人戶外空間轉向遊樂機構或大型天文望遠鏡承座,如圖20、21、22。 The two-group inner shaft frame type is matched with the middle shaft type outer frame tetrahedral structure (4o), and the middle shaft type outer frame structure (4o) can be relieved from interference with the terminal load (5e). The inner frame structure (1o) can be designed as a closed loop structure to strengthen the rigidity to avoid vibration or deformation. The two terminal carrying (5e) can be installed as a hemisphere umbrella stand, and the second hemisphere umbrella stand is opposite to the inner frame structure (1o). The hemispherical umbrella stand can be provided with a multi-seat shared cabin or a large telescope. The center-axis frame bracket (4b) is designed to allow for very large inertia loads. It can be applied to multi-person outdoor space steering amusement facilities or large astronomical telescopes, as shown in Figures 20, 21 and 22.
(1)‧‧‧內框結構組合件 (1)‧‧‧Inner frame structure assembly
(1o)‧‧‧內框四面體結構 (1o)‧‧‧Interframe tetrahedral structure
(1a)‧‧‧內框轉動裝置 (1a)‧‧‧Inner frame turning device
(1b)‧‧‧內框托架 (1b)‧‧‧Inner frame bracket
(1e)‧‧‧內框酬載 (1e)‧‧‧ inside frame payload
(2)‧‧‧內軌弧桿組 (2) ‧ ‧ inner rail arc group
(2o)‧‧‧內軌弧桿 (2o) ‧‧‧ inner rail arc
(2a)‧‧‧內接軸芯 (2a)‧‧‧Inner shaft core
(3)‧‧‧外軌弧桿組 (3) ‧‧‧External rail arc group
(3o)‧‧‧外軌弧桿 (3o) ‧‧‧ outer rail arc
(3a)‧‧‧外接軸芯 (3a)‧‧‧External shaft core
(3b)‧‧‧中接軸芯 (3b) ‧‧‧Connected shaft core
(4)‧‧‧外框結構組合件 (4) ‧‧‧Outer frame structure assembly
(4o)‧‧‧外框四面體結構 (4o) ‧‧‧ frame tetrahedral structure
(4a)‧‧‧外框轉動裝置 (4a)‧‧‧Outer frame turning device
(4b)‧‧‧外框托架 (4b)‧‧‧Front bracket
(4e)‧‧‧外框酬載 (4e) ‧ ‧ framed payload
(5)‧‧‧終端弧桿組合件 (5) ‧‧‧ terminal arc rod assembly
(5x)‧‧‧終端弧桿 (5x) ‧‧‧terminal arc
(5a)‧‧‧終端轉動裝置 (5a) ‧‧‧Terminal turning device
(5e)‧‧‧終端承載 (5e) ‧ ‧ terminal bearer
圖1單組外框式球座標轉向機構組件配置立體視圖 Figure 1 is a perspective view of a single set of outer frame ball coordinate steering mechanism components
圖2單組外框式球座標轉向機構組件配置前、側視圖 Figure 2 Single-frame outer frame ball coordinate steering mechanism assembly configuration front, side view
圖3外框結構組合件立體視圖與幾何定義 Figure 3: Stereo view and geometric definition of the outer frame structure assembly
圖4四組內、外軌弧桿組之立體視圖與幾何定義 Figure 4: Stereoscopic view and geometric definition of four sets of inner and outer rail arcs
圖5內框結構組合件立體視圖與幾何定義 Figure 5: Internal view of the frame structure assembly and geometric definition
圖6內框轉動裝置與外框轉動裝置之反向裝設立體視圖 Figure 6 is a perspective view of the inner frame rotating device and the outer frame rotating device
圖7單組外框式之終端弧桿組合件立體視圖與幾何定義 Figure 7: Stereo view and geometric definition of a single set of outer frame type terminal arc assembly
圖8單組內框式之終端弧桿組合件立體視圖與幾何定義 Figure 8: Stereo view and geometric definition of a single-group inner-frame terminal arc-rod assembly
圖9雙組中軸外框式之中軸內框結構與二組終端弧桿立體視圖與幾何定義 Fig.9 Stereo view and geometric definition of the inner frame structure and the two sets of terminal arcs in the outer frame of the two sets
圖10雙組中軸內框式之中軸外框結構與二組終端弧桿立體視圖與幾何定義 Fig. 10 Stereo view and geometric definition of the axial outer frame structure and the two sets of terminal arc bars in the two-group inner shaft frame
圖11雙組外框式球座標轉向機構組件配置立體視圖 Figure 11 is a perspective view of the assembly configuration of the two-group outer frame ball coordinate steering mechanism
圖12雙組外框式球座標轉向機構組件配置前視圖 Figure 12: Front view of the two-group outer frame ball coordinate steering mechanism component configuration
圖13雙組外框式球座標轉向機構組件配置側視圖 Figure 13 side view of the two-group outer frame ball coordinate steering mechanism component configuration
圖14雙組內框式球座標轉向機構組件配置立體視圖 Figure 14 is a perspective view of the configuration of the two-group inner frame ball coordinate steering mechanism assembly
圖15雙組內框式球座標轉向機構組件配置前視圖 Figure 15 Front view of the two-group inner frame ball coordinate steering mechanism component configuration
圖16雙組內框式球座標轉向機構組件配置側視圖 Figure 16 is a side view of a dual-group inner frame ball coordinate steering mechanism assembly configuration
圖17雙組中軸外框式球座標轉向機構組件配置立體視圖 Figure 17 is a perspective view of the assembly of the two-group axial outer frame ball coordinate steering mechanism assembly
圖18雙組中軸外框式球座標轉向機構組件配置前視圖 Figure 18: Front view of the assembly of the two-group shaft outer frame ball coordinate steering mechanism
圖19雙組中軸外框式球座標轉向機構組件配置側視圖 Figure 19 is a side view of the assembly of the two-group axial outer frame ball coordinate steering mechanism
圖20雙組中軸內框式球座標轉向機構組件配置立體視圖 Figure 20 is a perspective view of the assembly of the two-group inner-axis frame ball coordinate steering mechanism
圖21雙組中軸內框式球座標轉向機構組件配置前視圖 Figure 21: Front view of the two-group axial inner frame ball coordinate steering mechanism component configuration
圖22雙組中軸內框式球座標轉向機構組件配置側視圖 Figure 22: Side view of the assembly of the two-group inner-axis frame ball coordinate steering mechanism
以下分述本發明球座標轉向機構各組合件之幾何定義。外框結構(4o)之幾何定義為四面體,四組外框轉動裝置(4a)之軸芯線須重合於外框四面體之角心線。外框四面體體心標示為Ou,外框四面體之角心線標示為單位向量u i,各角心線間夾角標為Λij,如圖3。外框結構若恰為正四面體則其各角心線間之六夾角皆相等約109.5°,即:Λ12=Λ13=Λ14=Λ23=Λ24=Λ34 109.5°。外框結構若為正四面體因其單一對稱之特性較易於參數設計與運算模擬。但須注意正四面體必然出現四軸共線之奇異現象。故外框設計謹須符合四面體幾何定義不必為正四面體。單組外框式之終端弧桿組合件與外框結構幾何定義,如圖7。中軸外框四面體結構與二組終端弧桿幾何定義,如圖10。 The geometric definition of each assembly of the ball coordinate steering mechanism of the present invention is described below. The geometry of the outer frame structure (4o) is defined as a tetrahedron, and the core wires of the four sets of outer frame rotating devices (4a) must coincide with the angular line of the outer frame tetrahedron. The body of the outer frame tetrahedron is marked as O u , the corner line of the outer frame tetrahedron is indicated as the unit vector u i , and the angle between the corner lines of each corner is marked as Λ ij , as shown in Fig. 3. If the outer frame structure is just a regular tetrahedron, the angle between the six corners of each corner is equal to about 109.5°, ie: Λ 12 = Λ 13 = Λ 14 = Λ 23 = Λ 24 = Λ 34 109.5°. If the outer frame structure is a regular tetrahedron, it is easier to parameter design and operation simulation because of its single symmetry. However, it must be noted that the regular tetrahedron must have the singularity of the four-axis collinearity. Therefore, the outer frame design must conform to the tetrahedral geometry definition without having to be a regular tetrahedron. The geometric definition of the single-frame outer frame type arc-arc assembly and the outer frame structure is shown in Fig. 7. The central axis outer frame tetrahedral structure and the two sets of terminal arc bar geometry are defined as shown in Fig. 10.
四組外軌弧桿組(3)與四組內軌弧桿組(2)之幾何定義:四外軌弧桿(3o)半徑皆相等,四內軌弧桿(2o)半徑皆相等。為迴避奇異現象:四組外軌弧桿(3o)弧長不必皆相等,四內軌弧桿(2o)弧長亦不必皆相等。四組內、外軌弧桿各端軸必皆共心,即:四組外接軸芯(3a)、中接軸芯(3b)中與內接軸芯(2a)可隨內框結構(1o)之姿態變動,但軸線必皆指向外框四面體之體心標示為Ov。第i外接軸芯(3a)之單位向量標示為u i,第i中接軸芯(3b)之單位向量標示為W i,第i內接軸芯(2a)之單位向量標示為V i。四外軌弧桿(3o)半徑標示為r u,四內軌弧桿(2o) 半徑標示為r v 。第i外軌弧桿(3o)弧長標示為α i,且定義為第i外接軸芯(3a)與第i中接軸芯(3b)之夾角。第i內軌弧桿(2o)弧長標示為β i,且定義為第i內接軸芯(2a)與第i中接軸芯(3b)之夾角,如圖4。 The geometric definition of four sets of outer rail arc set (3) and four sets of inner rail arc set (2): the four outer rails (3o) have equal radii, and the four inner rails (2o) have equal radii. In order to avoid the singular phenomenon: the arc lengths of the four outer rails (3o) are not necessarily equal, and the arc lengths of the four inner rails (2o) are not necessarily equal. The four sets of inner and outer rail arcs must be concentric with each other, that is, four sets of external shaft cores (3a), medium joint shaft cores (3b) and inner joint shaft cores (2a) can follow the inner frame structure (1o) The posture of the change, but the axis must point to the body of the tetrahedron of the frame is marked as O v . The unit vector of the i-th external core (3a) is denoted as u i , the unit vector of the i-th core (3b) is denoted as W i , and the unit vector of the i-th inner core (2a) is denoted as V i . The radius of the four outer rails (3o) is denoted by r u , and the radius of the four inner rails (2o) is denoted by r v . The arc length of the i-th outer rail arc bar (3o) is denoted by α i and is defined as the angle between the i-th outer shaft core (3a) and the ith intermediate shaft core (3b). The arc length of the i-th inner rail arc (2o) is denoted as β i and is defined as the angle between the ith inner core (2a) and the ith intermediate core (3b), as shown in Fig. 4.
內框結構(1o)之幾何定義為四面體,外框轉動裝置(4a)之軸芯線須與內框四面體之角心線重合,如圖5。內框四面體之體心標示為,內框四面體之角心線標示為單位向量,內框結構各角心線間夾角標示Ωij,如圖5。內框結構若恰為正四面體則其各角心線間之六夾角皆相等約109.5°,即:Ω12=Ω13=Ω14=Ω23=Ω24=Ω34 109.5°。內框結構若為正四面體因其單一對稱之特性較易於參數設計與運算模擬。但須注意正四面體必然出現四軸共線之奇異現象,故內框設計謹須符合四面體幾何定義不必為正四面體。單組內框式之終端弧桿組合件與內框結構幾何定義,如圖8。中軸內框四面體結構與二組終端承載幾何定義,如圖9。 The geometry of the inner frame structure (1o) is defined as a tetrahedron, and the core wire of the outer frame rotating device (4a) must coincide with the angular line of the inner frame tetrahedron, as shown in Fig. 5. The body of the inner frame tetrahedron is marked as the unit vector of the corner of the inner frame tetrahedron, and the angle between the corners of the inner frame structure is indicated by Ω ij , as shown in Fig. 5. If the frame structure is exactly the six tetrahedral angle between the center line of each of its corners are equal to about 109.5 °, that is: Ω 12 = Ω 13 = Ω 14 = Ω 23 = Ω 24 = Ω 34 109.5°. If the inner frame structure is a regular tetrahedron, it is easier to design and simulate the parameters because of its single symmetry. However, it should be noted that the regular tetrahedron must have the singularity of the four-axis collinearity, so the inner frame design must conform to the tetrahedral geometric definition without having to be a regular tetrahedron. The geometric definition of the single-group inner-frame terminal arc-rod assembly and the inner frame structure is shown in Fig. 8. The inner-axis inner frame tetrahedral structure and the two sets of terminal bearing geometric definitions are shown in Fig. 9.
(1)‧‧‧內框結構組合件 (1)‧‧‧Inner frame structure assembly
(2)‧‧‧內軌弧桿組 (2) ‧ ‧ inner rail arc group
(3)‧‧‧外軌弧桿組 (3) ‧‧‧External rail arc group
(4)‧‧‧外框結構組合件 (4) ‧‧‧Outer frame structure assembly
(5)‧‧‧終端弧桿組合件 (5) ‧‧‧ terminal arc rod assembly
Claims (4)
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| TW103117062A TWI574722B (en) | 2014-05-15 | 2014-05-15 | Spherical coordinates orientating mechanism |
| US14/493,414 US9579786B2 (en) | 2013-09-26 | 2014-09-23 | Spherical coordinates manipulating mechanism |
| CN201410493157.2A CN104511904B (en) | 2013-09-26 | 2014-09-24 | Spherical coordinate control mechanism |
| EP14186117.9A EP2863102B1 (en) | 2013-09-26 | 2014-09-24 | Spherical coordinates manipulating mechanism |
| JP2014196071A JP6494967B2 (en) | 2013-09-26 | 2014-09-26 | Spherical coordinate control |
| US15/444,306 US20170165831A1 (en) | 2013-09-26 | 2017-02-27 | Spherical coordinates manipulating mechanism for inner frame pivotal configuration |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| US20020033434A1 (en) * | 2000-09-21 | 2002-03-21 | Yuuji Furuta | Gimbal mechanism |
| CN2564840Y (en) * | 2002-03-28 | 2003-08-06 | 天津大学 | Console with three-freedom spheric parallel mechanism |
| GB2464147A (en) * | 2008-05-29 | 2010-04-14 | Knowles Kevin | Three Degree-of-Freedom Parallel Spherical Mechanism for Payload Orienting Applications |
| EP2256397A1 (en) * | 2009-05-26 | 2010-12-01 | Robert Bosch GmbH | Spherical Orienting Device and Method for manufacturing the same |
| US20120083347A1 (en) * | 2010-10-04 | 2012-04-05 | Trui Wen-Der | Space orientating mechanism with two tetrahedrons and eight arc-links |
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| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20020033434A1 (en) * | 2000-09-21 | 2002-03-21 | Yuuji Furuta | Gimbal mechanism |
| CN2564840Y (en) * | 2002-03-28 | 2003-08-06 | 天津大学 | Console with three-freedom spheric parallel mechanism |
| GB2464147A (en) * | 2008-05-29 | 2010-04-14 | Knowles Kevin | Three Degree-of-Freedom Parallel Spherical Mechanism for Payload Orienting Applications |
| EP2256397A1 (en) * | 2009-05-26 | 2010-12-01 | Robert Bosch GmbH | Spherical Orienting Device and Method for manufacturing the same |
| US20120083347A1 (en) * | 2010-10-04 | 2012-04-05 | Trui Wen-Der | Space orientating mechanism with two tetrahedrons and eight arc-links |
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