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Helical gear time-varying meshing stiffness calculation method considering relative positions of base circle and root circle

A technology of time-varying meshing stiffness and relative position, which is applied to components with teeth, belts/chains/gears, hoisting devices, etc., and can solve the problems of difficult calculation of time-varying meshing stiffness of helical gears, and both efficiency and accuracy.

Active Publication Date: 2021-09-10
WUHAN UNIV OF TECH
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Problems solved by technology

[0004]The purpose of the present invention is to overcome the above-mentioned technical deficiencies, and provide a calculation method for time-varying meshing stiffness of helical gears considering the relative positions of the base circle and the dedendum circle, which is used to solve the existing It is difficult to achieve both efficiency and accuracy in the calculation of time-varying meshing stiffness of helical gears in technology

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  • Helical gear time-varying meshing stiffness calculation method considering relative positions of base circle and root circle
  • Helical gear time-varying meshing stiffness calculation method considering relative positions of base circle and root circle
  • Helical gear time-varying meshing stiffness calculation method considering relative positions of base circle and root circle

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[0084] In order to make the object, technical solution and advantages of the present invention clearer, the present invention will be further described in detail below in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described here are only used to explain the present invention, not to limit the present invention.

[0085] The present invention provides a time-varying meshing stiffness calculation method for helical gears that considers the relative positions of the base circle and the dedendum circle. The helical gears are processed in slices, and the number of gears that are meshing and the current meshing angle are calculated based on the position of the meshing line, and then According to the time-varying meshing stiffness model of spur gears, the meshing stiffness of each meshing gear is calculated, and then the meshing stiffness values ​​of all meshing teeth are summed to obtain the current meshing stiffn...

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Abstract

The invention discloses a helical gear time-varying meshing stiffness calculation method considering the relative position of a base circle and a root circle. The method comprises the following steps: acquiring the initial basic parameters of a helical gear pair under the actual working condition, calculating the overlap ratio and the rotated angle of the helical gear pair at the current moment, judging the number of gear pairs participating in meshing at the moment, calculating the length of a contact line on each gear tooth pair participating in meshing at the moment, dispersing the bevel gear into countless straight tooth slices, judging the meshing radius range of the straight tooth slices participating in meshing, calculating the rigidity of the straight tooth slices based on the meshing radius, and judging the sizes and relative positions of a root circle and a base circle; and correcting the straight gear energy method TVMS model by considering the relationship of the positions of the gear meshing points relative to the root circle and the base circle, performing series calculation on the single-tooth meshing stiffness in the helical gear pair, and performing superposition to obtain the complete meshing stiffness of the helical gear pair. According to the method, efficiency and precision are both considered in calculation of the helical gear time-varying meshing stiffness.

Description

technical field [0001] The invention relates to the technical field of gear dynamics, in particular to a calculation method for time-varying meshing stiffness of helical gears considering the relative positions of a base circle and a dedendum circle. Background technique [0002] As an important internal motivating factor in the gear meshing process, the time varying mesh stiffness of helical gears has always been a key research content in gear dynamics. In previous related research, TVMS was mostly obtained in the form of Fourier function expansion (higher efficiency), or the more cumbersome finite element software simulation method (higher precision). Therefore, it is difficult to achieve both efficiency and precision. [0003] Therefore, it is necessary to propose a calculation method that takes into account both efficiency and precision. Contents of the invention [0004] The purpose of the present invention is to overcome the above-mentioned technical deficiencies, ...

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Application Information

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IPC IPC(8): G06F30/17G06F30/20F16H55/08G06F111/10F16H57/00
CPCG06F30/17G06F30/20F16H55/08G06F2111/10F16H2057/0087Y02T90/00
Inventor 黄丰云王新强徐劲力许建宁肖浩然陈俊松符浩谢志豪
Owner WUHAN UNIV OF TECH