Antenna pitching transmission device based on double worm gear reducer

By using a double worm gear reducer in the antenna pitch transmission device to realize the self-locking function, the problem of adding pitch counterweight in the prior art is solved, and the lightweight design and safety and stability of the antenna system are realized.

CN119627434APending Publication Date: 2025-03-14CHINA ELECTRONICS TECH GRP NO 39 RES INST
View PDF 0 Cites 0 Cited by

Patent Information

Application Number
CN202510006950.3
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2025-01-03
Publication Date
2025-03-14

AI Technical Summary

Technical Problem

The existing antenna pitch transmission requires an increase in pitch counterweight to maintain balance, resulting in an increase in the overall weight of the antenna system and cannot meet the lightweight design requirements.

Method used

An antenna pitch transmission device based on a double worm gear reducer is adopted to realize the self-locking function through a double worm gear reducer, avoiding the need for additional pitch counterweight.

Benefits of technology

It ensures the safety and stability of the antenna system without adding pitch weight, and is suitable for antenna designs that strictly require size and weight, such as vehicle-mounted and ship-mounted antennas.

✦ Generated by Eureka AI based on patent content.

Smart Images

  • Figure CN119627434A_ABST
    Figure CN119627434A_ABST
Patent Text Reader

Abstract

The invention provides an antenna pitching transmission device based on double worm gear reducers, which comprises an antenna reflector, a high-frequency box, a left support arm, a right support arm, an azimuth turntable and a worm gear reduction transmission assembly arranged on the azimuth turntable, and is characterized in that the worm gear reduction transmission assembly comprises two symmetrically arranged double worm type worm gear reducers; the two sides of the high-frequency box are fixedly connected with the ends of the worm gear outer rings of the two double-worm type worm gear reducers respectively, and the high-frequency box is driven by the double-worm type worm gear reducers to rotate around the pitch axis in a pitching mode. The worm and gear speed reduction transmission assembly is provided with four worm input ends, and the speed reduction and reversing functions are achieved through the four reversing planetary speed reducers. The four reversing planetary reducers are connected through the coupler, input synchronism of the input end of the worm is ensured, when the device is used for driving the antenna to do pitching motion, pitching balance weights do not need to be additionally added, and the device is suitable for driving the antenna with a great unbalanced load to do pitching motion.
Need to check novelty before this filing date? Find Prior Art

Description

Technical Field

[0001] The invention belongs to the technical field of antenna structures, and in particular relates to an antenna pitch transmission device based on a double worm gear reducer. Background Art

[0002] Since gear transmission has the characteristics of smooth transmission and high transmission efficiency, the conventional antenna pitch transmission devices at home and abroad currently use a transmission mechanism composed of a planetary reducer and a final large gear. In addition, the conventional antenna pitch transmission device does not have a self-locking function. If the counterweight is not added, the antenna pitch part will lose balance. At the moment when the motor releases the brake, the antenna will rotate rapidly along the heavier side, causing a safety accident. In order for the pitch transmission device to drive the antenna pitch rotation normally, it is generally necessary to design a pitch counterweight that is equal to the weight of the antenna, or even several times the weight of the antenna, to maintain the pitch balance. However, this method undoubtedly leads to an increase in the overall weight of the antenna system, which is not suitable for the lightweight design requirements of some vehicle-mounted and ship-mounted antennas.

[0003] Therefore, it is urgent to design an antenna pitch transmission mechanism that does not require the addition of a pitch counterweight and has a compact structure. Summary of the invention

[0004] The purpose of the present invention is to overcome the shortcomings of the existing antenna pitch transmission device that requires the addition of a pitch counterweight when adopting a gear structure, resulting in an increase in the weight of the antenna system and failing to meet the demand for miniaturization, and to provide an antenna pitch transmission device based on a double worm gear reducer.

[0005] To achieve the above purpose, the technical solution provided by the present invention is:

[0006] An antenna pitch transmission device based on a double worm gear reducer comprises an antenna reflector and a high frequency box, wherein the antenna reflector is fixedly mounted on the top of the high frequency box; and further comprises an azimuth turntable, a first arm, a second arm and a worm gear reduction transmission assembly located between the first arm and the second arm;

[0007] The first support arm and the second support arm are vertically arranged on the top surface of the azimuth turntable and are respectively fixed to two ends of the worm gear reduction transmission assembly; and the bottom of the worm gear reduction transmission assembly does not contact the azimuth turntable;

[0008] The worm gear reduction transmission assembly includes a first double-worm worm gear reducer, a second double-worm worm gear reducer, a first AC servo motor, a second AC servo motor, a third AC servo motor, a fourth AC servo motor, a first reversing planetary reducer, a second reversing planetary reducer, a third reversing planetary reducer, a fourth reversing planetary reducer, and a first coupling and a second coupling;

[0009] The first double-worm type worm gear reducer is arranged in parallel with the second double-worm type worm gear reducer;

[0010] The output shafts of the first AC servo motor, the second AC servo motor, the third AC servo motor, and the fourth AC servo motor are respectively connected to the input ends of the first reversing planetary reducer, the second reversing planetary reducer, the third reversing planetary reducer, and the fourth reversing planetary reducer;

[0011] The output shafts of the first reversing planetary reducer and the second reversing planetary reducer are respectively connected to the two worm input ends of the first double-worm worm gear reducer, so that the output end of the first double-worm worm gear reducer rotates in a set direction; and the first coupling output end of the first reversing planetary reducer is connected to the first coupling output end of the second reversing planetary reducer through a first coupling;

[0012] The output shafts of the third reversing planetary reducer and the fourth reversing planetary reducer are respectively connected to the two worm input ends of the second double-worm worm gear reducer, so that the rotation direction of the output end of the second double-worm worm gear reducer is the same as the rotation direction of the output end of the first double-worm worm gear reducer; the first coupling output end of the third reversing planetary reducer is connected to the first coupling output end of the fourth reversing planetary reducer through another first coupling, and the second coupling output end of the second reversing planetary reducer is connected to the second coupling output end of the fourth reversing planetary reducer through the second coupling;

[0013] The speed ratios of the first reversing planetary reducer, the second reversing planetary reducer, the third reversing planetary reducer and the fourth reversing planetary reducer are the same; the rotation speeds of all the AC servo motors are the same, and the rotation directions of the two AC servo motors arranged on the same double-worm worm gear reducer are the same, and the rotation directions of the AC servo motors arranged on different double-worm worm gear reducers are different;

[0014] The symmetrical two side walls of the high-frequency box are respectively fixedly connected to the outer rings of the worm wheels of the two double-worm worm gear reducers, so that the high-frequency box can pitch and roll under the drive of the double-worm worm gear reducers.

[0015] Furthermore, the input end of the reversing planetary reducer is connected to the output shaft of the AC servo motor by a flat key; the output shaft of the reversing planetary reducer is connected to the worm input end of the double-worm worm reducer by a flat key.

[0016] Furthermore, a single double-worm worm gear reducer comprises a worm wheel assembly and two worms, the two worms are arranged in parallel, the worm wheel assembly is located between the two worms, and the center axis of the worm wheel assembly is perpendicular to the plane where the two worms are located;

[0017] The worm gear assembly comprises, from the inside to the outside, a supporting shell, a bearing inner ring and a worm gear outer ring which are coaxially stacked in sequence, and the supporting shell is radially fixedly connected to the bearing inner ring;

[0018] The outer wall of the inner ring of the bearing and the inner wall of the outer ring of the worm wheel are provided with annular tracks which match each other, and a plurality of balls are arranged in the annular tracks.

[0019] Furthermore, the outer ring end face of the worm wheel of the double-worm worm reducer is provided with a plurality of positioning stops for realizing the positioning installation of the high-frequency box and the outer ring end face of the worm wheel.

[0020] Furthermore, the first arm and the second arm have coaxially arranged annular portions on the sides facing each other;

[0021] The annular parts of the first support arm and the second support arm respectively cooperate with the inner holes of the supporting shells on the two double-worm worm gear reducers to support the double-worm worm gear reducers.

[0022] Furthermore, the first support arm and the second support arm have the same structure, including a rectangular member with an arc-shaped top and a connecting member fixed to the bottom of the rectangular member; the side wall of the connecting member is in contact with and fixedly connected to the side wall of the azimuth turntable.

[0023] Furthermore, a plurality of reinforcing ribs are provided at the joints between the rectangular member and the connecting member.

[0024] Furthermore, the first coupling and the second coupling have the same composition, including a connecting shaft and plum blossom couplings installed at both ends of the connecting shaft.

[0025] The advantages of the present invention are:

[0026] 1. The antenna pitch transmission device based on the double worm gear reducer of the present invention comprises an antenna reflector, a high frequency box, a left support arm, a right support arm, an azimuth turntable and a worm gear reduction transmission assembly arranged on the azimuth turntable. The worm gear reduction transmission assembly comprises two symmetrically arranged double worm gear reducers. Both sides of the high frequency box are fixedly connected to the ends of the worm outer rings of the two double worm gear reducers, and the double worm gear reducers drive the double worm gear reducers to pitch and rotate around the pitch axis. The worm gear reduction transmission assembly of the present invention has four worm input ends, and realizes the deceleration and reversing functions through four reversing planetary reducers. The four reversing planetary reducers are connected by a coupling to ensure the synchronization of the input of the worm input end. When the device of the present invention is used to drive the antenna pitch motion, no additional pitch counterweight is required, and it is suitable for driving the antenna pitch motion with a large unbalanced load.

[0027] 2. The present invention considers that the helix angle of the worm in the double-worm worm gear reducer is small, which can generate a large friction force between the worm wheel and the worm. This friction force can prevent the worm wheel from rotating in the opposite direction, thereby realizing the self-locking function; that is, when the AC servo motor releases the brake, the double-worm worm gear reducer will not rotate due to its own self-locking function. Only when the AC servo motor starts to rotate, the double-worm worm gear reducer will rotate, thereby driving the high-frequency box and the antenna reflector to perform pitch motion. Based on the self-locking effect of the double-worm worm gear reducer, the safety of the pitch motion of the antenna system with unbalanced load is ensured.

[0028] 3. The device of the present invention has a compact structure and uses four low-power AC servo motors to drive the pitch movement of the antenna system, which compresses the structural space of the entire antenna system and effectively reduces the mass of the antenna system. It provides important guidance for the design of vehicle-mounted and ship-mounted antennas that have strict requirements on size and weight.

[0029] Additional aspects and advantages of the present invention will be given in part in the following description and in part will be obvious from the following description, or will be learned through practice of the present invention. BRIEF DESCRIPTION OF THE DRAWINGS

[0030] The above and / or additional aspects and advantages of the present invention will become apparent and easily understood from the description of the embodiments in conjunction with the following drawings, in which:

[0031] Figure 1 It is a three-dimensional schematic diagram of an antenna pitch transmission device based on a double worm gear reducer of the present invention;

[0032] Figure 2 It is a front view of the antenna pitch transmission device based on the double worm gear reducer of the present invention;

[0033] Figure 3It is a left view of the antenna pitch transmission device based on the double worm gear reducer of the present invention;

[0034] Figure 4 It is a schematic diagram of the layout and connection of the double worm gear reducer, the reversing planetary reducer, and the AC servo motor in the present invention;

[0035] Figure 5 It is a structural schematic diagram of the left and right supporting arms and the azimuth turntable in the present invention;

[0036] Figure 6 It is a schematic diagram of the rotation direction of the double-worm type worm gear reducer and the AC servo motor in the present invention;

[0037] Figure 7 It is a schematic diagram of the antenna reflector of the present invention with a pitch of 30°.

[0038] In the figure: 1-antenna reflector, 2-high frequency box, 3-left arm, 4-right arm, 5-azimuth turntable, 6-pitch axis, 7-double-worm worm gear reducer, 8-AC servo motor, 801-first AC servo motor, 802-second AC servo motor, 803-third AC servo motor, 804-fourth AC servo motor, 9-first reversing planetary reducer, 10-second reversing planetary reducer, 11-third reversing planetary reducer, 12-fourth reversing planetary reducer, 13-first coupling, 14-second coupling. DETAILED DESCRIPTION

[0039] Embodiments of the present invention are described in detail below. The embodiments are exemplary and intended to be used to explain the present invention, but should not be construed as limiting the present invention.

[0040] Reference Figure 1-4 The present embodiment provides an antenna pitch transmission device based on a double worm gear reducer, comprising an antenna reflector 1, a high frequency box 2, a left support arm 3, a right support arm 4, an azimuth turntable 5 and a worm gear reduction transmission assembly. The antenna reflector 1 is fixedly mounted on the top of the high frequency box 2.

[0041] The worm gear reduction transmission assembly includes two double-worm worm gear reducers 7, four AC servo motors 8, a first reversing planetary reducer 9, a second reversing planetary reducer 10, a third reversing planetary reducer 11, a fourth reversing planetary reducer 12, and a first coupling 13 and a second coupling 14. The four AC servo motors are respectively a first AC servo motor 801, a second AC servo motor 802, a third AC servo motor 803 and a fourth AC servo motor 804.

[0042] The two double-worm worm reducers 7 include a first double-worm worm reducer and a second double-worm worm reducer. The first double-worm worm reducer is arranged in parallel with the second double-worm worm reducer. The output shafts of the first AC servo motor 801, the second AC servo motor 802, the third AC servo motor 803, and the fourth AC servo motor 804 are respectively connected to the input ends of the first reversing planetary reducer 9, the second reversing planetary reducer 10, the third reversing planetary reducer 11, and the fourth reversing planetary reducer 12 by a flat key, which can effectively prevent the output shafts of the AC servo motors from slipping. Among them, the output shafts of the first reversing planetary reducer 9 and the second reversing planetary reducer 10 are respectively connected to the two worm input ends of the first double-worm worm reducer by a flat key, so that the output end of the double-worm worm reducer rotates in a set direction, and the first coupling output ends of the first reversing planetary reducer 9 and the second reversing planetary reducer 10 are connected through a first coupling 13. The output shafts of the third reversing planetary reducer 11 and the fourth reversing planetary reducer 12 are respectively connected to the two worm input ends of the second double-worm worm gear reducer by flat keys, so that the rotation direction of the output end of the second double-worm worm gear reducer is the same as the rotation direction of the output end of the first double-worm worm gear reducer; the first coupling output ends of the third reversing planetary reducer 11 and the fourth reversing planetary reducer 12 are connected through another first coupling 13; and the second coupling output end of the second reversing planetary reducer 10 is connected to the second coupling output end of the fourth reversing planetary reducer 12 through a second coupling 14, ensuring the input mechanical synchronization of the worm input end, so that the outputs of the two double-worm worm gear reducers are synchronized.

[0043] The symmetrical two side walls of the high frequency box 2 are respectively fixedly connected to the outer rings of the worm wheels of the two double-worm worm gear reducers, so that the high frequency box 2 can move in pitch under the drive of the double-worm worm gear reducers.

[0044] Since the helix angle of the worm in the double-worm worm gear reducer is small, a large friction force is generated between the worm wheel and the worm, which can prevent the worm wheel from rotating in the opposite direction, thereby realizing the self-locking function. Based on the self-locking effect of the double-worm worm gear reducer, when the AC servo motor releases the brake, the double-worm worm gear reducer will not rotate due to its own self-locking function. Only when the AC servo motor starts to rotate, the double-worm worm gear reducer will rotate, thereby driving the high-frequency box 2 and the antenna reflector 1 to perform pitch motion. The self-locking effect of the double-worm worm gear reducer ensures the safety of the pitch motion of the antenna system with unbalanced loads.

[0045] Reference Figure 6, in order to make the antenna pitch transmission device of the present invention normally drive the antenna pitch movement, avoid the worm input end of the double-worm worm gear being stuck due to the disordered rotation direction. In the present invention, the four AC servo motors 8 have the same rotation speed, and the first AC servo motor 801 and the second AC servo motor 802 arranged on the same double-worm worm gear reducer have the same rotation direction, the third AC servo motor 803 and the fourth AC servo motor 804 arranged on the same double-worm worm gear reducer have the same rotation direction, and the AC servo motors arranged on different double-worm worm gear reducers have different rotation directions. The speed ratios of the first reversing planetary reducer 9, the second reversing planetary reducer 10, the third reversing planetary reducer 11 and the fourth reversing planetary reducer 12 are the same.

[0046] Specifically, a single double-worm worm gear reducer 7 includes a worm gear assembly and two worms, the two worms are arranged in parallel, the worm gear assembly is located between the two worms, and the central axis of the worm gear assembly is perpendicular to the length direction of the worm. The worm gear assembly includes a supporting shell, a bearing inner ring and a worm gear outer ring coaxially stacked in sequence from the inside to the outside, and the supporting shell is radially fixed to the bearing inner ring. The outer wall of the bearing inner ring and the inner wall of the worm gear outer ring have tracks that match each other, and a number of balls are placed in the tracks to withstand loads in all directions. Among them, the worm gear outer ring and the track located on its inner wall are integrally processed, and the supporting shell and the bearing inner ring are radially fixed by screws and pins. The symmetrical two side walls on the high-frequency box 2 are fixedly connected to the end faces of the worm gear outer rings of the two double-worm worm gear reducers by a number of high-strength bolts, and the end faces of the worm gear outer rings have positioning stops to facilitate the positioning and installation of the high-frequency box. The double-worm worm reducer of the present invention integrates the worm wheel and the bearing into one body, which can realize the pitching motion of the high-frequency box and also serve as a bearing to support the high-frequency box 2 .

[0047] The first coupling 13 and the second coupling 14 have the same composition, including a connecting shaft and plum blossom couplings installed at both ends of the connecting shaft. The connecting shaft of the first coupling 13 is only different from the connecting shaft of the second coupling 14 in length. The plum blossom coupling has a simple structure, does not require lubrication, can operate continuously for a long time, and has a large axial, radial and angular compensation capacity.

[0048] Reference Figure 5 The left support arm 4 and the right support arm 5 have the same structure, including a rectangular member with an arc-shaped top and a connection fixed to the bottom of the rectangular member. The side wall of the connection member is fitted and fixed to the side wall of the azimuth turntable 5. There are several reinforcing ribs at the junction of the rectangular member and the connection member to improve the connection reliability between the rectangular member and the connection member.

[0049] When working, four AC servo motors are started at the same time, and the first AC servo motor 801 and the second AC servo motor 802 rotate in the same direction. After the first reversing planetary reducer 9 and the second reversing planetary reducer 10 connected thereto are reversed, the two worms of the first double-worm worm gear reducer rotate in the same direction at the same time, and the worm gears are meshed to drive the worm wheel of the first double-worm worm gear reducer to rotate in the counterclockwise direction (the counterclockwise direction in this example refers to the direction facing the clockwise direction). Figure 6 At the same time, the third AC servo motor 803 and the fourth AC servo motor 804 rotate in the same direction (opposite to the rotation direction of the first AC servo motor 801 and the second AC servo motor 802), and after the third reversing planetary reducer 11 and the fourth reversing planetary reducer 12 connected thereto are reversed, the two worms of the second double-worm worm gear reducer rotate in the same direction at the same time (the same direction as the rotation direction of the worm of the first double-worm worm gear reducer), and the worm gears are meshed to drive the worm wheel of the second double-worm worm gear reducer to rotate in the counterclockwise direction (the counterclockwise direction in this example refers to the direction facing the clockwise direction). Figure 6 Then the high frequency box 2 fixed to the output end of the first double worm type worm gear reducer and the second double worm type worm gear reducer is driven to perform pitch motion with the central axis of the worm gear assembly as the pitch axis 6. Figure 7 The figure shows the state of the high frequency box and the antenna reflector at a pitch of 30°.

[0050] The above description is only a specific implementation mode of the present invention, but the protection scope of the present invention is not limited thereto. Any technician familiar with the technical field can easily think of various equivalent modifications or substitutions within the technical scope disclosed in the present invention, and these modifications or substitutions should be included in the protection scope of the present invention.

Claims

1. An antenna pitch transmission device based on a double worm gear reducer, comprising an antenna reflector and a high-frequency box, wherein the antenna reflector is fixedly mounted on the top of the high-frequency box; characterized in that: It also includes an azimuth turntable, a first arm, a second arm, and a worm gear reduction transmission assembly located between the first arm and the second arm; The first support arm and the second support arm are vertically arranged on the top surface of the azimuth turntable and are respectively fixed to two ends of the worm gear reduction transmission assembly; and the bottom of the worm gear reduction transmission assembly does not contact the azimuth turntable; The worm gear reduction transmission assembly includes a first double-worm worm gear reducer, a second double-worm worm gear reducer, a first AC servo motor, a second AC servo motor, a third AC servo motor, a fourth AC servo motor, a first reversing planetary reducer, a second reversing planetary reducer, a third reversing planetary reducer, a fourth reversing planetary reducer, and a first coupling and a second coupling; The first double-worm type worm gear reducer is arranged in parallel with the second double-worm type worm gear reducer; The output shafts of the first AC servo motor, the second AC servo motor, the third AC servo motor, and the fourth AC servo motor are respectively connected to the input ends of the first reversing planetary reducer, the second reversing planetary reducer, the third reversing planetary reducer, and the fourth reversing planetary reducer; The output shafts of the first reversing planetary reducer and the second reversing planetary reducer are respectively connected to the two worm input ends of the first double-worm worm gear reducer, so that the output end of the first double-worm worm gear reducer rotates in a set direction; and the first coupling output end of the first reversing planetary reducer is connected to the first coupling output end of the second reversing planetary reducer through a first coupling; The output shafts of the third reversing planetary reducer and the fourth reversing planetary reducer are respectively connected to the two worm input ends of the second double-worm worm gear reducer, so that the rotation direction of the output end of the second double-worm worm gear reducer is the same as the rotation direction of the output end of the first double-worm worm gear reducer; the first coupling output end of the third reversing planetary reducer is connected to the first coupling output end of the fourth reversing planetary reducer through another first coupling, and the second coupling output end of the second reversing planetary reducer is connected to the second coupling output end of the fourth reversing planetary reducer through the second coupling; The speed ratios of the first reversing planetary reducer, the second reversing planetary reducer, the third reversing planetary reducer and the fourth reversing planetary reducer are the same; the rotation speeds of all the AC servo motors are the same, and the rotation directions of the two AC servo motors arranged on the same double-worm worm gear reducer are the same, and the rotation directions of the AC servo motors arranged on different double-worm worm gear reducers are different; The symmetrical two side walls of the high-frequency box are respectively fixedly connected to the outer rings of the worm wheels of the two double-worm worm gear reducers, so that the high-frequency box can pitch and roll under the drive of the double-worm worm gear reducers.

2. According to claim 1, an antenna pitch transmission device based on a double worm gear reducer is characterized in that: The input end of the reversing planetary reducer is connected to the output shaft of the AC servo motor by a flat key; the output shaft of the reversing planetary reducer is connected to the worm input end of the double-worm worm reducer by a flat key.

3. The antenna pitch transmission device based on a double worm gear reducer according to claim 2, characterized in that: A single double-worm worm gear reducer comprises a worm wheel assembly and two worms, the two worms are arranged in parallel, the worm wheel assembly is located between the two worms, and the center axis of the worm wheel assembly is perpendicular to the plane where the two worms are located; The worm gear assembly comprises, from the inside to the outside, a supporting shell, a bearing inner ring and a worm gear outer ring which are coaxially stacked in sequence, and the supporting shell is radially fixedly connected to the bearing inner ring; The outer wall of the inner ring of the bearing and the inner wall of the outer ring of the worm wheel are provided with annular tracks which match each other, and a plurality of balls are arranged in the annular tracks.

4. The antenna pitch transmission device based on a double worm gear reducer according to claim 3, characterized in that: The double-worm type worm reducer has a plurality of positioning stops on the outer ring end face of the worm wheel, which are used to realize the positioning installation of the high-frequency box and the outer ring end face of the worm wheel.

5. The antenna pitch transmission device based on a double worm gear reducer according to claim 3, characterized in that: The first support arm and the second support arm have coaxially arranged annular portions on the sides facing each other; The annular parts of the first support arm and the second support arm respectively cooperate with the inner holes of the supporting shells on the two double-worm worm gear reducers to support the double-worm worm gear reducers.

6. The antenna pitch transmission device based on a double worm gear reducer according to claim 5, characterized in that: The first support arm and the second support arm have the same structure, including a rectangular member with an arc-shaped top and a connecting member fixed to the bottom of the rectangular member; the side wall of the connecting member is in contact with and fixedly connected to the side wall of the azimuth turntable.

7. The antenna pitch transmission device based on a double worm gear reducer according to claim 6, characterized in that: A plurality of reinforcing ribs are provided at the joints between the rectangular member and the connecting member.

8. The antenna pitch transmission device based on a double worm gear reducer according to claim 1, characterized in that: The first coupling and the second coupling have the same composition, including a connecting shaft and plum blossom couplings installed at both ends of the connecting shaft.