WO2024193777A1

WO2024193777A1 - Transmission for a wind turbine

Info

Publication number: WO2024193777A1
Application number: PCT/DK2024/050045
Authority: WO
Inventors: Jan INGELI
Original assignee: Vestas Wind Systems AS
Current assignee: Vestas Wind Systems AS
Priority date: 2023-03-23
Filing date: 2024-03-11
Publication date: 2024-09-26
Anticipated expiration: 2025-09-23

Abstract

A transmission comprises a fixed gear ring, a first drive member supported within the fixed gear ring, the first drive member defining a plurality of radially arranged apertures or bores, each of which accommodates a tooth element. A second drive member is supported such that it extends within the first drive member and engages the tooth elements. At least one of the tooth elements defines an interior chamber which is enclosed, at least in part, by a chamber side wall of the body region, wherein the chamber side wall defines one or more lubrication passages, the or each of which extend from an axial position on the chamber side wall to a base region of the body region. Beneficially, the invention involves configuring the tooth elements of the transmission to reduce their mass, which thereby benefits the noise, vibration and harshness (NVH) characteristics of the transmission since it reduces the force with which the tooth element impacts the gear ring of the transmission.

Description

TRANSMISSION FOR A WIND TURBINE

Technical Field

The present invention relates to a transmission in a powertrain assembly, particularly for a wind turbine.

Background to the Invention

Wind turbines convert kinetic energy from the wind into electrical energy, using a large rotor with a number of rotor blades. A typical Horizontal Axis Wind Turbine (HAWT) comprises a tower, a nacelle on top of the tower, a rotor hub mounted to the nacelle and a plurality of wind turbine rotor blades coupled to the rotor hub. Depending on the direction of the wind, the nacelle and rotor blades are turned and directed into an optimal direction by a yaw system for rotating the nacelle and a pitch system for rotating the blades.

The nacelle houses many functional components of the wind turbine, including for example a main rotor shaft and one or more electrical generator, as well as convertor equipment for converting the mechanical energy at the rotor into electrical energy for provision to the grid. In some types of wind turbines, known as ‘direct drive’ systems, the main rotor shaft drives the electrical generator directly. However, it is more common for wind turbines to include a gearbox to step up the rotational speed between the main rotor shaft and the electrical generator, thus converting the low speed but high torque input from the main rotor shaft to a lower torque but higher speed input into the electrical generator. Together, the main rotor shaft, gearbox and generator constitute a power train of the wind turbine.

Typically, gearboxes for wind turbines include parallel gearboxes, epicyclic gearboxes, or a combination of both designs, and provide gear ratios between 1 :30 and 1 :140. Such high gear ratios usually require more than one gear stage which increases the size of the gearbox, and also its overall mass and cost. The mass of the gearbox contributes significantly to the overall mass of the nacelle, so it is desirable to reduce this mass to reduce the pendulum effect of the nacelle mass on top of the wind turbine tower which may reach over 100m in height, and even up to and over 160m in height.

Gear system designs with more compact layouts are known. One such gear system is known as a strain wave drive system or ‘harmonic drive’, and is well-known in small scale applications such as robotic joints and wheel motors. However, such systems are used as speed reducers and are generally not considered compatible as speed increasers due to issues with torque loading.

Another type of compact gear system is disclosed in US8656809B2 and US8256327B2, to Wittenstein Group. Such a gear system includes a speed reducer arrangement that features a plurality of circumferentially arranged teeth each of which is configured to move radially in a tooth carrier member. The bases of the teeth are driven by a rotatable cam member which constitutes an input drive, whilst the tips of the teeth engage on an outer ring with an inner tooth profile. The number of radially or slidably movable teeth differ from the number of teeth shapes in the ring tooth profile which causes the tooth carrier member to move at a slower rate than the input drive member. The tooth carrier member therefore constitutes an output drive member. Such ‘radial-moving-teeth’ gearbox designs are able to achieve a high-speed reduction ratio between 1 :10 and 1 :200.

Gear systems based on radial-moving-teeth designs generally are not reverse driven largely due to reduced efficiency when operated in the reverse driven direction. There are various technical challenges associated with configuring a radial-moving tooth design gearbox to be used as a speed increasing transmission, particularly in high torque applications, at least some of which the invention discussed herein is directed to address.

Summary of the Invention

According to a first aspect of the invention, there is provided a transmission which may find particular utility in wind turbine application, but may also be used in other applications. The transmission comprises a fixed gear ring, a first drive member rotationally supported within the fixed gear ring, the first drive member defining a plurality of radially arranged apertures or bores, each of which accommodates a tooth element. The tooth elements have a tooth tip and a tooth base, and the first drive member further comprises a radially outer face and a radially inner face, and wherein the tooth tips of the tooth elements engage a corresponding gear profile defined by the fixed gear ring. A second drive member is rotationally supported such that it extends within the first drive member, and defines a cam profile which engages each of the plurality of tooth elements. At least one of the tooth elements defines an interior chamber which is enclosed, at least in part, by a chamber side wall of the body region, wherein the chamber side wall defines one or more lubrication passages, the or each of which extend from an axial position on the chamber side wall to a base region of the body region. Beneficially, the invention involves configuring the tooth elements of the transmission to reduce their mass, which thereby benefits the noise, vibration and harshness (NVH) characteristics of the transmission since it reduced the force with which the tooth element impacts the gear ring of the transmission.

In one example, the transmission may form part of a speed increasing gearbox where rotation of the first drive member causes radial movement of the tooth elements by engagement with the fixed ring gear.

The examples of the invention extend to a tooth element of the transmission as defined above. In another aspect, the examples of the invention provide a wind turbine including a tower on which is mounted a nacelle that supports a rotatable hub, wherein the rotatable hub is coupled to a transmission as defined above.

Preferred and/or optional features of the invention are set out in the appended claims.

Brief Description of the Drawings

The present invention will now be described, by way of example only, with reference to the attached drawings, in which:

Figure 1 is a perspective view of a horizontal-axis wind turbine within which the invention may be incorporated;

Figure 2 is a perspective view of a power transmission system for the wind turbine in Figure 1 , which includes a main shaft, a gearbox or transmission, and an electrical generator;

Figure 3 is an exploded perspective view of the transmission of the system shown in Figure 2; Figure 4 is a view transversely through the transmission showing the arrangement of main components;

Figures 5a-c are a series of views showing a gear tooth element of the transmission and an associated pivot/tilt pad;

Figures 6a-c are a series of views that show the progress of one of the gear tooth elements of the transmission during a load cycle;

Figure 7, Figures 8a, and 8b show an alternative configuration of gear tooth element for use with a transmission as shown in the previous Figures,

Figures 9 to 12 illustrate further alternative configurations of gear tooth for use in the transmission shown in the previous Figures;

Figures 13 and 14 are examples of a gear tooth element according to the inventive concept and in the context of the transmission shown in the previous Figures;

Figures 15 and 16 are views of further applications for a transmission according to the invention.

Detailed Description

A specific embodiment of the present invention will now be described in which numerous features will be discussed in detail in order to provide a thorough understanding of the inventive concept as defined in the claims. However, it will be apparent to the skilled person that the invention may be put into effect without the specific details and that in some instances, well known methods, techniques and structures have not been described in detail in order not to obscure the invention unnecessarily.

In order to place the embodiments of the invention in a suitable context, reference will firstly be made to Figure 1 , which illustrates a typical Horizontal Axis Wind Turbine (HAWT) in which a generator rotor assembly according to an embodiment of the invention may be implemented. Although this particular image depicts an on-shore wind turbine, it will be understood that equivalent features will also be found on off-shore wind turbines. In addition, although the wind turbines are referred to as ‘horizontal axis’, it will be appreciated by the skilled person that for practical purposes, the axis is usually slightly inclined to prevent contact between the rotor blades and the wind turbine tower in the event of strong winds.

The wind turbine 10 comprises a tower 12, a nacelle 14 rotatably coupled to the top of the tower 12 by a yaw system (not shown), a rotor hub 16 mounted to the nacelle 14 and a plurality of wind turbine rotor blades 18 coupled to the rotor hub 16. The nacelle 14 and rotor blades 18 are turned and directed into the wind direction by the yaw system.

The nacelle 14 houses many functional components of the wind turbine, including the main rotor shaft, generator, gearbox, and power converter for converting the mechanical energy of the wind into electrical energy for provision to the grid. Together, these components are generally referred to as the powertrain of the wind turbine, whereas the gearbox and generator are generally referred to as the drivetrain. Figure 2 illustrates an example of a layout of part of a powertrain 19 within the nacelle 14, that layout including a main shaft 20, which extends through a main bearing housing 22, a gearbox 24 and a generator 26. The main shaft 20 is connected to, and driven by, the rotor hub 16 and provides input drive to the gearbox 24.

The gearbox 24 steps up the rotational speed of the low-speed main shaft via internal gears (not shown) and drives a gearbox output shaft (also not shown). The gearbox output shaft in turn drives the generator 26, which converts the rotation of the gearbox output shaft into electricity. The electricity generated by the generator 26 may then be converted by other components (not shown) as required before being supplied to an appropriate consumer, for example an electrical grid distribution system.

Aspects of the gearbox are shown in more detail in Figure 3 and Figure 4. Figure 3 illustrates the general arrangement of various components of the gearbox 24, as an exploded view, whilst Figure 4 shows the relative positioning of the internal components of the gearbox. Hereinafter, the gearbox components will be referred to generally as a transmission 28.

The transmission 28 comprises three main components: an input drive member 30, or ‘tooth carrier’, an output drive member 32, and an outer gear ring 34. The transmission 28 is configured to increase the speed of rotation between the input drive member 30 and the output drive member 32. In this context, the input drive member 30 would be coupled to the main rotor shaft 20 of the wind turbine, and the output drive member 32 would be coupled to a rotor of the electrical generator 26. The main components of the transmission as discussed above may be made of a suitable material, for example a suitable grade of cast or forged steel. In lower load applications, the components may be made from other materials such as suitable engineering plastics. The selection of the exact material for a particular application would be within the abilities of a skilled person.

At this point it should be noted that the general arrangement of the transmission is similar to the so-called “Galaxie” (RTM) drive system manufactured by Wittenstein Group. This type of system is sometimes referred to in the art as a ‘radial-moving-tooth’ or ‘slidable tooth’ design, and fundamentals of the technology are described in US8656809B2 and US8256327B2, amongst others. However, such drive systems tend to be used in speed reduction applications with lighter loading and with relatively short working lives, whereas in the current context the intention is for the transmission to be used in high loading applications as a speed increaser to convert the relatively high torque and low speed input drive from the main rotor of the wind turbine (approx. 5-15 rpm) to a lower torque but higher speed output drive for the gearbox (approximately 100-1000rpm). Moreover, in wind turbine applications, gearboxes tend to be in operation for longer time periods compared to other applications, for example usually wind turbines have a working life of 25 years.

Returning to Figure 3 and 4, the outer gear ring 34 is a rotationally fixed component which is associated with or formed as part of a main housing 38 (see in Figure 2) of the gearbox 24. Therefore, the outer gear ring 34 is in a rotationally fixed relation to the nacelle of the wind turbine.

The outer gear ring 34 is configured to define an internal gear profile 40 about its radial interior surface 42. The gear profile 40 extends circumferentially about the rotational axis of the transmission. The gear profile 40 is defined by a plurality of gear tooth sections 44 or more simply ‘gear sections’.

It should be noted that the outer profile of each gear section 44 is shaped to define part of a logarithmic profile, which is a benefit in terms of force transmission with tooth members of the transmission, as will now be discussed. The precise tooth geometry is not the focus of the invention, however, and so further discussion will be omitted for clarity. Similarly, the output member 32 is rotationally supported such that it extends within or through the input member 30 so it is able to rotate therein. The input member 30 is configured to rotate within the space defined by the outer gear ring 34. The input member 30 is associated with and is physically connected to the main shaft of the wind turbine and so rotates at the same speed. It should be appreciated that the input member 30 is not shown connected to the main shaft in the drawings. However, the input member 30 comprises a set of bolt holes on its axial surface which serve to define a connecting interface for the main shaft, or to an intermediate coupling member to couple the input member 30 to the main shaft. It should be noted that the input member 30 could also be connected to the main shaft by way of a press fit connection such as a shrink disk.

The input member 30 is annular in form and defines a radially outer facing surface 29, a radially inward facing surface 31 , and first and second axial facing surfaces, 35,37. The input member 30 is configured to define a circumferentially-spaced arrangement of apertures, bores or holes 50, each of which accommodates a respective gear tooth element 52. The apertures 50 therefore act as guides for the respective tooth elements 52 and so can be considered to be guide bores, and may be referred to as such herein. The radial depth/dimension of the apertures 50 are less than the axial length of the gear tooth element so that the tips of the gear tooth elements protrude from the top surface of the input member 30. It should be noted that only two of the gear tooth elements 52 and respective apertures 50 are labelled in Figure 4 so as not to obscure detail in the Figure. The precise number of gear tooth elements 52 and respective apertures 50 is not the subject of this invention and so will not be described in detail here. However, the number may vary between about 20 and 200. Moreover, the number of gear tooth elements and gear sections may be selected to vary the gear ratio between the input member 30 and the output member 32, and also to select the relative direction of rotation between the input member 30 and the output member 32.

As is known generally in the art, the input member 30 and the output member 32 may rotate in the same direction, albeit at different rotational speeds, or they may rotate in opposite directions, and the direction of rotation is determined by the relative number of gear tooth elements 52 in the input member 30 and the number of gear sections 44 in the outer gear ring 34. Reference is made to US10830328 which discusses more details relating to the interrelation between the number of gear sections 44 and the number of slidable tooth elements 52. The input member 30 may be configured to have a single row of apertures 50 and gear tooth elements 52. However, in the illustrated example the input member 30 has two rows 53 of apertures 50 and gear tooth elements 52, spaced appropriately along the axial direction of the transmission. Further rows are possible, although not currently envisaged. In this context, the discussion above about the numbers of teeth in a row, would apply to each row. Note that the rotational axis of the transmission is indicated in Figures 3 and 4 as ‘A’. This axis preferably coincides with the axis Y in Figure 2.

As shown in Figure 3, each row of apertures 50 is spaced circumferentially about the input member 30 in an angularly equi-spaced relationship. The angular interval between apertures 50 in the rows is the same for each row in the illustrated embodiment, and may be between 2 and 20 degrees, for example, depending on the number of tooth elements. However, in theory there may be different numbers of apertures 50, and therefore tooth elements 52, in each row. In the illustrated example, where there are equal numbers of apertures 50 and tooth elements 52 in the rows, the apertures 50 in one row are angularly shifted from the apertures 50 in the other one of the rows. This can be appreciated by observing the line L1 which is taken through the centre of one of the apertures 50 in one of the rows, and line L2 which is taken through the centre of the nearest aperture 50 in the other row. As can be seen, there is a small angular shift between the apertures 50 in the two rows. The angular shift may be up to 50% of the angular interval between adjacent apertures 50. For example, the angular shift may be 5% or 10% or 20% or 30% or 40% of the angular interval between a neighbouring two apertures 50 in a particular row. For example, for a row with 30 apertures, the angular interval would be 12 degrees. The angular shift between apertures in adjacent rows may therefore be up to 6 degrees.

The rotating action of the input member 30 causes the respective gear tooth elements 52 to be driven radially inwardly by the gear profile 40 since they are slidable within the apertures 50. Since the number of gear tooth elements 52 does not match the number of gear sections 44 of the gear profile 40, the result is that each of the gear tooth elements 52 is at a different radial lift height within its respective aperture 50. This imparts a wavelike pattern of motion of the gear tooth elements 52 which in turn imparts a rotational drive force to the output member 32, as will now be described.

Referring to the gear tooth elements 52 in more detail, and also with reference to Figures 5a-c, it will be seen that each gear tooth element 52 includes a tooth tip region 56 and a tooth base region 58, both of which are aligned on a tooth axis B. The tooth tip region 56 is positioned radially outwardly with respect to the tooth base region 58. A tooth body 59 extends between the tooth base and the tooth tip region 56 Although not seen clearly in Figure 3 and 4, it should be appreciated that the shape of the tooth tip region 56 is configured to compliment the shape of the respective gear section 44 of the outer ring gear 34. Each flank 60 of a tooth tip region 56 may shaped to define a substantially flat surface, in the illustrated example, although in other examples the flanks may define a part of a logarithmic spiral or have some degree of curvature.

Whereas the tooth tip regions 56 of the gear tooth elements 52 engage with the gear profile 40 of the outer ring member 34, the tooth base regions 58 of the gear tooth elements 52 engage with the output member 32.

As can be seen in Figure 4 particularly well, the output member 32 has a non-circular shaped circumferential outer surface 61 thereby providing a cam surface or profile. More specifically the shape is oval in the illustrated example. The output member 32 is therefore cam-shaped in form so as to provide a shaft cam drive with two cam peaks, in this example. Other examples may provide a single cam peak or more than two cam peaks. It is the shape of the output drive member 32 that allows the gear tooth elements 52 to drive it with a rotational motion.

In order to reduce friction between the gear tooth elements 52 and the output drive member 32, there is provided a bearing arrangement 62.

The bearing arrangement 62 comprises a plurality of pivot pads 64, only some of which are labelled in Figure 4. Each of the pivot pads 64 is associated with a respective one of the gear tooth elements 52 and acts as a fulcrum against which bears a respective base region 58 of a gear tooth element 52. The gear tooth elements 52 therefore engage the cam surface of the output member 52 to transmit a force thereto thereby acting on and driving the output member. However, the tooth element 52 act on the cam surface indirectly in this example by bearing against the pivot pads 64, although the term ‘engage’, ‘act on’ and ‘driven by’ in this context are considers to cover both direct engagement and also indirect engagement via the pivot pads or other functionally equivalent bearing type element.

The action of a pivot pad 64 is shown schematically in Figures 5a-c. As can be seen the pivot pad 64 includes a pad portion 66 and a pivot or fulcrum portion 68. The pivot portion 68 protrudes upwardly from the pad portion 66 and is shaped to complement a recess 70 defined in the underside of the base region 58 of the gear tooth element 52. The pivot portion 68 may define a part-spherical or part-cylindrical protrusion. The precise geometry is not crucial to the Invention but it should allow the pivot pad 64 to pivot smoothly with respect to the gear tooth element 52, as can be seen in the Figures, in which Figure 5a shows the pivot pad 64 in a neutral position, and Figure 5b and 5c show the pivot pad 64 tilted to the left and to the right, respectively.

The pivot pads 64 are arranged to extend about the circumferential outer surface of the output member 32. Each pivot pad 64 is associated with a respective gear tooth element 52. Since the pivot pads 64 slide on the outer surface of the output member 32, a suitable means may preferably be provided to aid lubrication between those components. This may be fulfilled by a low friction coating on the underside of the pivot pads 64 and/or a low friction coating on the outer surface of the output member 32. Alternatively, the pivot pads 64 may be mounted on a suitable sliding bearing or roller bearing train 63 (c.f. Figure 4). The pivot pads 64 may be suitably coupled to one other. To constrain the pivot pads from moving about on the output drive member 32 in the axial direction, the pivot pads 64 may be received in a shallow guide channel (not shown) defined in the outer surface of the output member 32, or other functionally similar arrangement.

The benefit of the pivot pads is that they transmit the linear driving force vectors generated by the individual tooth elements more effectively into the cam-like surface of the output member 32 as that surface undulates beneath the pivot pad 64.

By way of further explanation, Figures 6a to 6c are a sequence of drawings that illustrates a short rotational phase of the input member 30 and the output member 32. In these Figures, only a single one of the gear tooth elements 52 are shown for the sake of clarity. However, from viewing Figures 6a to 6c, the relative movement of the input drive member 30 and the gear tooth element 52 is apparent, as is the effect that the force applied to the gear tooth element 52 has on the output member 32.

Referring firstly to Figure 6a, this can be considered a reference position at the start of a tooth loading cycle where the tip region 56 of the gear tooth element 52 is located in a trough 44a of a gear tooth section 44. It should be noted that the outer ring gear 34 is stationary, whilst the input member 30 and the output member 32 rotate relative to it, but at different rotational speeds. The direction of rotation of the input drive member 30 is labelled as R1 in Figure 6a, and can be seen as being clockwise in this example. Similarly, the direction of rotation of the output member 32 is labelled as R2, and is also clockwise, in this example. As noted above, the input and output members 30,32 may be configured to rotate in opposite directions in some examples.

At this point, it will be noticed that although a single gear tooth element 52 is shown, the input drive member 30 is shown in partial form for clarity. The movement of the input drive member 30 can be appreciated by the movement of the gear tooth element 52 relative to the outer gear ring 34 by comparing the position of the gear tooth element 52 with the gear section 44 with which it is engaged in Figures 6a-6c. Notably, in Figure 6a the output member 32 is in a rotational position at which the height of the cam shape is at a maximum. The cam shape provided by the output member 32 can therefore be considered as in a top dead centre position in Figure 6a.

As the input member 30 is driven in a clockwise direction, a force will be exerted on the tip region 56 of the gear tooth element 52 by a rising flank 80 of the gear tooth section 44. This force is shown on Figure 6a as F1. A component of force F1 will be in the vertically downwards direction (in the orientation of the drawings), and is shown here as F2. The gear tooth element 52 will therefore start to exert a force on the cam shaped surface of the output drive member 32 via the pivot pad 64 as the output member 32 rotates, and as the gear tooth element 52 passes the top position as shown in Figure 6a.

Comparing Figure 6b with Figure 6a, it will be seen in Figure 6b that the output member 32 has rotated in the clockwise direction by an angle 0 of about 20 degrees. Conversely, the gear tooth element 52 has only moved relative to the outer ring member 34 by a small fraction of a degree, which illustrates the speed increasing configuration of the transmission 28.

As can be seen, the cam shape of the output member 32 has changed position in Figure 6b such that the vertical force F2 applied by the gear tooth element 52 via the pivot pad 64 now acts on a falling slope 82 of the cam shape. The gear tooth element 52, therefore contributes a rotational force to the output drive member 32, which combines with the forces generated by the other gear tooth elements to drive the output member 32 in rotation. Figure 6c is substantially the same as Figures 6a and 6b, although shows the gear tooth element 52 a step further along its loading cycle. Once the gear tooth element 52 has gone through a load cycle, as shown, it is driven outwardly by the cam surface of the output member 32 and is not loaded during this movement.

Having described the general arrangement of the transmission 28, the discussion will now focus on various aspects associated with a particular design of tooth element 52 for the transmission 28.

In the examples of the invention discussed above, various features of tooth elements have been described and shown. In general, the tooth elements comprise a cylindrical tooth body which transitions to a tapered tooth tip or head region which terminates at a tip or point. The tooth body in the illustrated examples are cylindrical and match the tooth apertures/guides so they can slide relative thereto. Although the tooth elements and apertures/guides are shown as having a circular cross section, other cross sections are acceptable in principle.

Another form of tooth element is shown in Figure 7 and Figures 8a and 8b. The same reference numerals will be used in these Figures to refer to features in common and/or equivalent with the previously illustrated examples.

In Figure 7, three tooth elements 52 are shown in their respective aperture 50 of the input member 30. The outer gear ring 34 is also shown in part, as is the output member 32, together with the pivot pads 64 and a bearing layer 300 that is intermediate the outer surface of the output member 32 and the pivot pads 64. It will be appreciated that the tooth member 52 shown in the centre of the image is in a ‘top dead centre’ position relative to its respective gear tooth section 44, whereas the other tooth elements 52 are in in slightly laterally shifted positions.

With reference also to Figures 8a and 8b, it will be apparent that the tip region 56 is shaped differently to the previous examples.

The tooth element 52 comprises a tooth body 302 having a tooth base 304 which is configured for engagement with an adjacent pivot pad 64 (not shown in Figs 8a/b) by virtue of a recess 306 defined therein. The tooth tip region 56 is adjacent the tooth body 302 distal from the tooth base 304.

The tooth tip region 56 is defined by a flank section 308 that is demarked from the tooth body 302 by a shoulder 310. As seen in Figure 8a, there is provided a left shoulder 310a and a right shoulder 310b.

The shoulders 310 are intermediate the top of the tooth body 302 and the flank section 308 of the tip region 56. The shoulders 310 and flank section 308 together form the tooth tip region 56 of the tooth element 52.

Over a body length L along the longitudinal axis B of the tooth element 52, the tooth body 302 has a substantially constant cross-section, which is circular in this example, although this need not be the case and other cross-sectional profiles are acceptable. Where the cross section is not circular, that cross section profile may be substantially constant along the longitudinal length of the tooth body 302. The tooth body 302 is in contact with the tooth aperture 50 or “guide” of the input member 30 over the length of the tooth body 302 and so forces can be transmitted between the tooth element 52 and the respective aperture via the contact surfaces, contact lines or contact points.

The flank section 308 comprises tooth flanks 320, which can engage with the corresponding surfaces of the gear tooth sections 44 on the outer gear ring 34.

Figure 8b shows the tooth element 52 when viewed perpendicularly from a tooth flank 320. It will be apparent that the tooth flank 320 is a predominantly flat surface that extends from the tip of the tooth towards the tooth body 302, and particularly the shoulder 312.

The tooth flanks 320 comprise a straight substantially planar section, labelled as 322, and first/second transition sections 324, 326. The substantially planar section 322 may have some curvature, although it is shown as planar in the figures. The first transition section 324 is located towards the tip end of the flank 320 and extends towards the tip to provide a somewhat rounded end rather than a sharp tip shape, thereby reducing stress concentrations. The second transition section 326 is located at the other end of the flank 320 and merges into the shoulder 310.

The flanks 320 define an angle with respect to the tooth axis B. As shown, the angle a of each flank is around 30 degrees, although this is just exemplary and other angles would be acceptable. As a result, the cone angle of the tooth tip is approximately 60 degrees. Currently it is envisaged that cone angles between 30 and 60 degrees would be acceptable, by way of non-limiting example. As will be appreciated from Figures 8a and 8b, the tip region 56 is symmetrical about tooth axis B in this example.

The presence of the shoulders 310 mean that a step is formed between the upper end of the tooth body 302 and the flanks 320. As such, a flank line 330 corresponding to a medial tangent to the tooth flank 320 as seen in Figure 8a intersects a volume of the tooth body 302.

The shoulder 310 provides a curved, rounded or concave transition between the top of the tooth body 302 and the angled flank 320. As can be seen, the axially lower end of the shoulder 312 is horizontal, from which point the shoulder 310 curves upwardly through the lower transition section 326 to blend into the flank 320. The curvature of the transition section 326 may be radiused. The shoulder 312 and transition section 326 may be machined more finely than the tooth flank 320.

An advantage of the provision of the shoulders 310 with respect to the tooth flanks 320 may be that splash losses in the contact of the tooth element with the gear profile may be reduced. The surface area of the tooth flank may in particular be reduced by the shoulders 310, whereby lubricating oil needs to be displaced from a smaller surface.

The tooth elements of the invention may be any suitable material, but currently it is envisaged that a suitable grade of stainless steel is most appropriate in high load applications. However, in other applications materials other than steel may be appropriate such as plastics. Similar considerations apply for the material of the outer ring gear, the input member and the output member. At least a part of the tooth element is configured to be flexurally rigid. The term “flexurally rigid” should in this case be typically understood technically to mean that bending deformations of the teeth are so small due to the rigidity of the material of the teeth that they are at least substantially unimportant for the kinematics of the gearing. Flexurally rigid teeth comprise in particular teeth made of a metal alloy, in particular steel, or a titanium alloy, a nickel alloy or any other alloys. Furthermore, flexurally rigid teeth of plastics may also be provided, in particular in transmissions in which the outer gear ring and the input/output member are also made of plastics. Metal/alloy components offer the advantage that they are extremely torsionally rigid and withstand high loads. Gearings of plastics offer the advantage that they have a low weight. The term “flexurally rigid” means in particular a flexural rigidity about a transverse axis of the tooth. This means in particular, that when the tooth is viewed as a rod from a tooth base to a tooth flank area, a flexural rigidity is given at least substantially excluding bending deformations between the tooth flank area and the tooth base. Due to the flexural rigidity, a very high resistance to load and torsional rigidity of the gearing are achieved.

Figures 9 and 10 show further examples of respective tooth elements. Referring firstly to Figure 9, a schematic illustration of a tooth element 152 is shown which is similar in many respects to the tooth elements 52 as described above and shown in Figures 3 to 8. As such, the tooth element 152 includes a body region 159, a base region 158 and a tip region 156. The base region 158 is at a lower end of the body region 159 and the tip region 156 is at the upper end of the body 159, illustrated along the longitudinal axis B. As in the previous examples of the invention, the tip region 156 is wedge shaped and defines two flanks 160a, 160b that terminate in a pointed apex 161.

The body region 159 of the tooth element 152 has a generally cylindrical outer profile in the illustrated embodiment, as this is suited to the sliding function of the tooth element 152 within its guide bore/aperture, as discussed above, although in principle other cross- sectional profiles would be acceptable.

In the previous illustrated examples, the tooth elements are solid bodies of material for example of metal or plastic. However, in the tooth element 152 of Figure 9, it can be appreciated that the tooth element 152 is hollow such that it defines an interior chamber 162.

The hollow tooth element 152 of the invention is beneficial because it significantly reduces the mass of the tooth element 152. In large scale applications such as in the context of a gearbox for a wind turbine, the tooth elements may have a length of above 10cm, for example 15cm, 20cm, 30cm, or 40cm or even above 50cm. Such tooth elements may also have a diameter of above 5cm, for example above 10cm, 15cm or even above 20cm. Generally, the larger the length of a tooth element, the larger the diameter of a tooth element. The tooth elements therefore have mass of several kilograms which has a detrimental effect of the operation of the transmission. Reducing the mass of the tooth elements means that there is less mass to accelerate and decelerate during a typical load cycle which reduces NVH characteristics of the transmission, as well as contributing to a lower total mass of the transmission. The interior chamber 162 may be formed in principle with any internal shape. In the illustrated example, however, the interior chamber 162 is cylindrical in form and extends along the length of the body region 159 of the tooth element 152 along the tooth axis B. Currently it is envisaged to form the interior chamber 162 such that it does not extend into the tip region 156. The tooth axis B may also be called the longitudinal axis B.

In other examples, the interior chamber 162 may have a geometry such that it has a diameter, or lateral profile, or cross-sectional area, which is variable along its length. For example, it may be advantageous to configure the interior chamber so that it is relatively narrow at its end nearer to the tooth tip region 156, but which broadens towards the base region 158. The interior chamber 162 may therefore be said to taper outwardly from the tip to the base region. The taper may be a continuous taper or comprise multiple steps of successively increasing dimension. Sections of continuous outward taper may be combined with step changes in lateral dimensions.

One way of forming the interior chamber 162 is to machine it from a solid tooth element 152. Thus, the interior chamber 162 may be created by a cylindrical drilling that extends from a base surface 165 of the tooth element 152 and extends axially into the tooth element 152. This approach would form a cylindrical volume for the interior chamber 162.

Alternatively, the tooth element 162 may be formed by a process which creates the interior chamber 162 during formation of the tooth element. This may be achieved by way of a casting process.

As can be seen in Figure 9, the interior chamber 162 extends from a position proximate the tooth tip region 156 of the respective tooth element 152. In this sense, the term ‘proximate’ means that the interior chamber 162 extends to a position generally in line with and so being very close to the point where the tooth tip region 156 begins, although some flexibility in that requirement is acceptable. It will be appreciated that the interior chamber 162 does not overlap the side flanks of the tooth tip region 156 which means that the material strength in the tooth tip region 156 is retained, as that is where loading is applied on the tooth element 152 by the tooth profile 40 of the outer gear ring 34. In other examples, however, the interior chamber 162 may extend into the tooth tip region 156, particularly where the strength of the tip region can be assured whilst mass can be reduced. The interior chamber 162 extends along the tooth axis B and opens at the external surface 165 underneath the body 159. The interior chamber 162 thereby defines an opening 166 in the tooth base region 158. That opening 166 is sealed by a closure member 167 in the form of a block or plate. The closure member 167 may be connected to the body 159 of the tooth element 152 by any appropriate technique. For example, a closure member 167 of metal form may be welded to the body region 159, but is shown here as connected using fasteners such as screws 170. A closure member 167 of plastics may also be joined in this way.

The closure member 167 defines a recess 168 in its underside which is shaped to corporate with the pivot pad 164 (not shown in Figure 9) in the same way as the tooth elements 52 discussed in the previous examples.

Expressed another way, therefore, in this illustrated example the interior chamber 162 extends also from a position proximate the tooth base region 158. In examples where the interior chamber 162 extends axially along the tooth element 152 from proximate the tooth base 158 to proximate the tooth tip region 156, it will be appreciated that this maximises the volume of the interior chamber 162 for a given cross section.

Dimensionally, it is envisaged that the greatest mass reduction can be achieved by making the interior chamber 162 as large as possible. However, that must be balanced against maintaining sufficient structural integrity of the tooth element so it may perform its function. Without wishing to be bound by theory, it is currently envisaged that an appropriate size for the interior chamber 162 is between approximately 20% and 70% of the total volume enclosed by the outer profile of the tooth element 152. In other examples, the volume of the interior chamber could be more than 30% or 40% or 50% or 60% of the volume of space occupied by the outer profile of the tooth element. In principle, the larger the volume of the internal chamber, the greater the mass saving that may be achieved. However, the strength of the tooth element must still be sufficient, so it is a balance between mass reduction and structural robustness. This approximately corresponds to an interior diameter of the interior chamber 162 which is between 50% and 80% of the outer diameter of the body 159 of the tooth element 152, and preferably between 60% and 70%. It should be appreciated that these are approximate values only and are not intended to be strictly limiting, but merely a guide. For example, the lower limit of the interior chamber volume may alternatively be 5% or 10% or 15%. It should also be appreciated that the numbers are illustrative for a cylindrical body 159 and a cylindrical internal chamber 162, whereas those features may not be cylindrical as has been discussed above.

It should be noted that the tooth element in Figure 9 has an interior chamber having a diameter D1 that is approximately 50% of the outer diameter D2 of the body 159 of the tooth element 152. This means that the body 159 has relatively thick walls which is useful for load transfer. In contrast, Figure 10 shows an otherwise identical example of a tooth element but one in which the diameter D1 of the interior chamber D1 is much larger, and approximately 80% of the outer diameter D2 of the tooth element 152.

In the above discussion, the diameters D1 and D2 relate to an example of a tooth element 152 where the outer profile is cylindrical and also the interior chamber is cylindrical. This may not be the case, however, and Figure 11 shows an example where the tooth element 152 and the interior chamber 162 are not cylindrical. The dimensions D1 and D2 may therefore be considered as the maximum outer dimensions of the interior chamber 162 and the tooth element 152, respectively, when considered in a plane that is perpendicular to the tooth axis B. It will be noted here that the cross section of the interior chamber 162 matches that of the tooth body 159, although is different in scale. In other examples, the cross sections of the interior chamber 162 and the tooth body 159 may be different in form.

Figure 12 shows a further example of a tooth element 152. Here, the tooth element 152 is similar in form and structure to the tooth element 152 shown in Figure 9 so only the differences will be described for clarity.

In this example, the tooth element 152 also is provided with an interior chamber 162. However, the interior chamber 162 comprises a low-density filler material 172. The filler material 172 may be for example a metal foam of a polymeric foam. The foamed material may be open cell or closed cell foam.

Beneficially, the foamed filler material 172 can still achieve a reduction in mass of the tooth element 152 but it can also provide increased strength by reinforcing the empty volume of the chamber.

A further optional feature, as shown in Figure 12, is for the tooth element to be provided with a lubrication groove 174. The lubrication groove may extend circumferentially about the outer surface of the tooth element 152. In configurations of the transmission where a lubrication supply is provided to the guide bore, either directly to the guide bore through passages provided in the input member 30 or by way of a wet sump arrangement, the lubrication groove 174 provides a helpful way of spreading lubricating fluid along the length of the bore.

More than one lubrication groove 174 may be provided on the tooth element, spaced appropriately along the axial length of the tooth element 152. A second lubrication groove 176 is shown here at a lower position than the first groove 174.

The or each of the lubrication grooves 174, 176 may be provided with passages 178 that connect the groove 174,176 to the internal chamber 162. The internal chamber 162 may therefore act as a conduit for lubricating fluid to move between the grooves 174,176. This may be beneficial where lubricating fluid is provided to one of the grooves 174,176 e.g. through internal flow passages provided in the input member 30, and then lubricating fluid may be transported to the second lubrication groove 176 through the filler material which acts as a form of wick. The benefit of this arrangement is that the foamed filler material 172 can act as a storage reservoir and transport mechanism for lubricating fluid which avoids lubricating fluid sloshing around within the internal chamber 162.

Figures 13 and 14 illustrate a further design of tooth element 152 in which parts in common with earlier examples are denoted with the same reference numerals for clarity. Furthermore, aspects and features described with respect to the previous examples can also be applied to the examples of Figures 13 and 14 as appropriate and unless specifically stated otherwise.

As in the previously illustrated example, the tooth element 152 in Figures 13 and 14 includes a body region 159 the lower end of which has a base region 158. A tip region 156 is above the body region 159, in the orientation of the drawings. The body region 159, base region 158 and the tip region 156 are different portions of the same block of material in the illustrated example. As in the previous examples of the invention, the tip region 156 is wedge shaped and defines two flanks 160a, 160b that terminate in a pointed apex 161.

The outer profile of the body region 159 is generally cylindrical in form, with a circular cross section, as in the previous examples, so it is able to slide within its respective guide aperture 50 of the input member 30. In principle other cross-sectional profiles would be acceptable. The base region 158 of the tooth element 152 is supported on a pivot pad 64. As discussed above, the pivot pad 64 includes a pad portion 66 and a pivot or fulcrum portion 68. The pivot portion 68 protrudes upwardly from the pad portion 66 and is shaped to complement a recess 168 defined in the underside of the base region 158 of the tooth element 152. The pivot portion 68 may define a part-spherical or part-cylindrical protrusion. By virtue of this configuration, the tooth element 152 is able to pivot slightly whilst mounted on top of the pivot pad 64 as the pivot pad 64 moves relative to the output member 32.

As in the previously illustrated examples, the tooth element 152 includes an interior chamber 162. The interior chamber 162 is generally cylindrical in form here, but that is not essential. However, the interior chamber 162 represents a significant void volume compared to the overall volume of the outer surface of the tooth element 152.

The interior chamber 162 extends along a significant length of the tooth element 152, as is described with respect to the previous examples, since a principal aim is mass reduction. As shown here, the interior chamber 162 extends from at, proximate, or near the base region 158 of the tooth element 152 to proximate or near the top of the body region 159 of the tooth element 152. In the illustrated example, the interior chamber 162 does not extend into the tip region 156, although in other examples that is an acceptable structural variation.

Due to the shape of the interior chamber 162, there is defined a chamber side wall 163 that surrounds the interior chamber 162. The chamber side wall 163 thus defines the outer side surface 165 of the tooth element 152.

As in previously illustrated examples, the interior chamber 162 extends along the tooth axis B and opens at the lower surface of the base region 158. The interior chamber 162 thereby defines an opening 166 in the tooth base 158. That opening 166 is sealed by a closure member 167 in the form of a block or plate. The closure member 167 may be connected to the body region 159 of the tooth element 152 by any appropriate technique.

The closure member 167 defines the recess 168 in its underside which is shaped to corporate with the pivot pad 64 in the same way as the tooth elements 152 discussed in the previous examples. In order to support the sliding movement of the tooth element 152 within the guide apertures 50 of the input member 30, various lubrication schemes are envisaged which would involve delivering a supply of lubricating fluid to the sliding interface between the guide apertures 50 and the tooth element 52. This may be achieved in various ways. For example, lubricating fluid may be sprayed onto the tip region 156 of the tooth element 156 which fluid would then be drawn into the sliding interface by the usual tribological processes.

It will be noted that the tooth element 152 illustrated in Figures 13 and 14 is configured to take advantage of the flow of lubrication fluid at the sliding interface between it and its respective guide aperture (not shown in Figs 13,14) and to transport some of that fluid to another region of the tooth element 152.

To this end, the tooth element 152 comprises one or more lubrication passages 176. The one or more lubrication passages 176 extend from an area of the outer surface of the chamber side wall 163 to another area of the tooth element 152. Here, the lubrication passages 176 extend to the underside surface of the base region 158.

Two lubrication passages 176 are shown in the illustrated example, but it should be understood that more or fewer lubrication passages may be provided as required for a particular application.

Each of the lubrication passages 176 has an entrance or inlet port 177 and an exit or outlet port 178. The inlet ports 177 are defined at an area of the outer surface of the body region 159 approximately midway between its ends. As shown, the inlet ports 177 are provided in an annular groove 180 which represents a reduced diameter region of the chamber side wall 163. The annular groove 180 may in principle be any width, but here is shown to have a width that is at least 10% but less than 40% of the axial length of the body region 159, and more particularly between 20% and 30%. The presence of the annular groove 180 therefore divides the body region 159 into a first, upper, cylindrical body portion 181 and a second, lower, cylindrical body portion 183. In alternative arrangements, a feature comparable to the annular groove 180 may instead be provided in the guide bore within which the tooth element 152 slides, in use.

The annular groove 180 may serve to capture lubrication fluid and encourage that fluid to flow to the inlet ports 177 of the lubrication passages 176. As illustrated, the inlet ports 177 are diametrically opposed to one another, but it should be noted that this is not essential.

Each of the lubrication passages 176 at least one axial section 176a which extends through the chamber wall in a generally axial direction towards the base region 158 of the body region 159. The axial section 176a transitions to a radial section 176b at its lower end where it extends radially towards the axis B of the tooth element 152. In the example, both of the lubrication passages 176 join together at their respective radial sections 176b which then form a short second axial section 176c which leads to the outlet port 178.

In the illustrated example, the base region 158 of the tooth element 152 is defined at least in part by the closure member 167. Therefore, the closure member 167 defines part of the radial sections 176b and also the second axial section 176c and the outlet port 178.

By virtue of this configuration, the lubrication passages 176 provide a route for lubrication fluid to be transported from an area at the side surface 165 of the body region 159 to underneath the tooth element 152. This is useful because it provides a means to lubricate the sliding interface between the pivot pad 64, and specifically the pivot portion 68, and the recess 168 to reduce the wear between the pivot pad 64 and the tooth element 152.

Moreover, the pivot pad 64 is also provided with a pivot pad lubrication passage 184. In this example, the pivot pad lubrication passage 184 extends from a lower surface 185 of the pivot pad 64 to an upper surface 186 of the pivot pad 64. More specifically, the pivot pad lubrication passage 184 extends from the pivot portion 68 of the upper surface 186 to the lower surface 185. Lubrication fluid is therefore provided with a path to flow through the pivot pad 64 to below it where it can lubricate the sliding interface between the output member 32 and the pivot pad 64.

The pivot pad lubrication passage 184 is in the form of a drilling that extends through the pivot pad 64, and so has a relatively small diameter. In this example, however, the pivot pad lubrication passage 184 comprises an enlarged well 187 that defines the inlet or entrance port 188 of the pivot pad lubrication passage 184. This helps to ensure that any lubrication fluid exiting the at least one lubrication passage 176 of the tooth element 152 is collected and guided into the pivot pad lubrication passage 184. The pivot pad 64 also includes an outlet port 189 on the lower surface 185. The outlet port 189 is therefore at the sliding interface between the pivot pad (64) and the cam profile (61) of the output member (32). Notably, although a sliding interface is defined between the pivot pad 64 and the output member 32 in the illustrated example, this does not exclude the presence of intermediate elements such as roller bearings, or low-friction belts.

Many modifications may be made to the specific examples described above without departing from the scope of the invention as defined in the accompanying claims. Features of one embodiment may also be used in other embodiments, either as an addition to such embodiment or as a replacement thereof.

In the above discussion, the speed increasing transmission has been described as used in a wind turbine powertrain as a means of increasing the rotational speed of the main shaft to a speed suitable for an input shaft of an electrical generator.

The skilled person would understand that this is not the only application for such a transmission. Figures 15 and 16 illustrate two further applications, by way of example, within which the transmission may be used. In the following discussion, the internal details and functionality of the transmission can be assumed to be the same as described above.

With reference firstly to Figure 15, the transmission of the invention may be used in agricultural gearbox applications. For example, here an agricultural machine such as a tractor 200 provides a power take off coupling 202, which is a rotating shaft that is driven by the engine of the tractor 200, as is known in the art. The power take-off coupling 202 may typically be driven at between 200 and 600 rpm, and is dependent on engine speed. For some agricultural applications, that rotational speed may be sufficient. However, for other applications a higher rotational speed may be required. Therefore, in Figure 15 a transmission 228 according to the invention is provided that receives as a drive input the power take off coupling 202 from the tractor 200. Here, the transmission 228 is shown attached to the tractor 200, but this is not essential, particularly if mobility is not required. The transmission 228 converts the relatively high torque and low speed drive input from the power take off coupling 202 to a higher speed but lower torque drive input 230 to a hydraulic pump 232. As an example, the rated running speed of the pump may be between 1200 and 2000 rpm. The hydraulic pump 232 may be a gear pump or any other suitable form of pump. In the illustrated application, the pump 232 is used to draw water from a nearby stream 234 through an input pipe 236 and pump the water through an outlet pipe 238 to a water storage container 240. Beneficially, the technical advantages of the transmission of the invention such as low backlash and smooth operation minimises further vibration on the power take off coupling 202 and reduces operational noise for the operator of the machinery.

A further application is shown in Figure 164 in which a transmission 328 according to the invention is integrated into a hydrodynamic power generation system 330.

The generation system 330 includes a so-called Archimedes screw device 332 arranged at an inclined angle with respect to a flowing body of water such as a river or stream 334. An inlet 336 of the screw device 332 is arranged at an upper end, and a discharge or outlet 338 is arranged at the lower end thereof. The general form of screw device is conventional.

A suitable structure 340 is provided to create a feed channel 342 through which is fed a flow of water 344 to the inlet 336 of the screw device 332 which causes it to turn, as is well known. The structure 340 may be an earth or concrete bank, for example, but other structures are possible.

The screw device 332 comprises a drive shaft 346 which supports the screw device 332 on suitable bearings (not shown) and which provides an output drive. The drive shaft 346 is connected to the gearbox or transmission 328 in accordance with the invention. Since the screw device 332 only has a low rate of rotation, for example 0.2 to 1 Hz, the transmission 328 provides a speed increasing function. As such, the transmission 328 includes an output drive shaft 348 which is coupled to an electrical generator 350.

It will be appreciated that the compact arrangement of the transmission according to the invention, and other advantageous characteristics such as low noise and low backlash, make it beneficial for such applications where installation space is at a premium. In addition, the low backlash and smooth operations reduces wear on the other components included in the powertrain.

In the examples of the invention discussed above and shown in the accompanying Figures, the transmission has been described as a speed increasing transmission wherein the input member 30 receives rotational drive from the main shaft of the wind turbine at a relatively low speed, and the output member 32 provides a higher rotational output speed to the generator 26. Although this is the application currently envisaged for the transmission, which will be technically advantageous for applications outside wind turbines, as is evidenced by Figure 15 and 16, it should be noted here that the transmission of the invention could also be ‘back driven’, meaning that it could be used as a speed reducer transmission. In such a situation, therefore, the radially inner output member 32 as described above may receive rotational drive from a prime mover, e.g. such as an internal combustion engine or electric motor, having a relatively high rotational speed and relatively low torque, whereas the radially outer input member 30 as described above would then provide the onwards drive to a load, for example a vehicle drive train or hoisting system, having a lower output speed but higher torque. In this context, therefore, the input member 30 of the transmission may be considered more generically as a first drive member whereas the output member 32 may be considered more generically as a second drive member.

This invention is most preferred in mainly one-direction applications, which will often be high torque applications, for example the wind turbine applications discussed above. However, the present invention may also find use in other areas where it is desired to have high power density, high torque density, large hollow shaft ratio, advantageous damping behaviour, high rigidity, zero or reduced play or backlash, high synchronization, or in general a compact design. Even for two-direction applications, such as robotics, machine tools, industrial drive-trains, servo-motor-torque-speed-downs, packaging machines and milling machines the present invention will also be an improvement over the known prior art.

Claims

1 . A transmission comprising: a fixed gear ring (34); a first drive member (30) rotationally supported within the fixed gear ring (34), the first drive member (34) defining a plurality of radially arranged apertures (50) each of which accommodates a tooth element (52; 152), each tooth element (52; 152) having a tooth tip region (56; 156) and a body region, the first drive member (30) comprising a radially outer face (29) and a radially inner face (31), and wherein the tooth tips (58;158) of the tooth elements (52; 152) engage a corresponding gear profile (40) defined by the fixed gear ring (34), a second drive member (32) which is rotationally supported such that it extends within the first drive member (30), the second drive member defining a cam surface (61) which engages each of the plurality of tooth elements, wherein at least one of the tooth elements (52; 152) define an interior chamber (162) which is enclosed, at least in part, by a chamber side wall (163) of the body region (159), wherein the chamber side wall (163) defines one or more lubrication passages (176), the or each of which extend from an axial position on the chamber side wall (163) to a base region (158) of the body region (159).

2. The transmission of Claim 1 , wherein the axial position on the body region from which the or each lubrication passages extend is defined at a reduced diameter region (180) of the chamber side wall (163).

3. The transmission of Claim 2, wherein the reduced diameter region (180) of the chamber side wall (163) is defined intermediate the base region (158) and the tip region (156).

4. The transmission of Claim 3, wherein the reduced diameter region (180) of the chamber side wall (163) is defined mid-way between the base region (158) and the tip region (156).

5. The transmission of any one of the preceding claims, wherein the base region (158) of the body region (159) is provided by a closure member (167) which defines at least in part the interior chamber (162).

6. The transmission of Claim 5, wherein the closure member (167) defines at least in part the one or more lubrication passages (176).

7. The transmission of any one of the preceding claims, wherein the base region defines an outlet port (178) of the respective one or more lubrication passages (176).

8. The transmission of Claim 7, wherein the outlet port (178) communicates with at least two lubrication passages (176).

9. The transmission of any one of the preceding claims, wherein the base region (158) interfaces with a pivot pad (64) which is between the tooth element (152) and the cam profile (61) of the second drive member (32).

10. The transmission of Claim 9, wherein the pivot pad (64) includes a lubrication passage (184).

11. The transmission of Claim 10, wherein the lubrication passage (184) of the pivot pad (64) includes an inlet port (188) at its interface with the tooth element (152), the interface being arranged such that the inlet port (188) at least partially aligns with the lubrication passage (176) in the tooth element (152) so that lubricating fluid can pass between the tooth element (152) and the pivot pad (64).

12. The transmission of Claim 11 , wherein the inlet port (188) in the pivot pad (64) is provided in an enlarged well (187) of the pivot pad (64).

13. The transmission of Claim 11 or 12, wherein the inlet port (188) is provided in a pivot portion (68) of the pivot pad (64).

14. A tooth element (152) for a radially-moving tooth type transmission, the tooth element comprising a tooth tip region (156) and a body region (159), wherein an interior chamber (162) is enclosed, at least in part, by a chamber side wall (163) of the body region (159), wherein the chamber side wall (163) defines one or more lubrication passages (176), the or each of which extend from an axial position on the chamber side wall (163) to a base region (158) of the body region (159).

15. A wind turbine (10) including a tower (12) on which is mounted a nacelle (14) that supports a rotatable hub (16), wherein the rotatable hub is coupled to a transmission in accordance with any one of Claims 1 to 13.