Time-varying Mesh Stiffness Calculation and Research on Dynamic Characteristic of Two-stage Helical Gear System based on Potential Energy Method

Peng Wei; Song Deng

doi:10.16578/j.issn.1004.2539.2020.09.008

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Time-varying Mesh Stiffness Calculation and Research on Dynamic Characteristic of Two-stage Helical Gear System based on Potential Energy Method

Design· Calculation | 更新时间：2022-11-02

- Time-varying Mesh Stiffness Calculation and Research on Dynamic Characteristic of Two-stage Helical Gear System based on Potential Energy Method
- Journal of Mechanical Transmission Vol. 44, Issue 9, Pages: 51-57(2020)
- 作者机构：
  
  1.武汉理工大学现代汽车零部件技术湖北省重点实验室，湖北武汉 430070
  2.武汉理工大学汽车零部件技术湖北省协同创新中心，湖北武汉 430070
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2020.09.008
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魏鹏,邓松.基于势能法的两级斜齿轮系统时变啮合刚度计算与动态特性研究[J].机械传动,2020,44(09):51-57.

Wei Peng,Deng Song.Time-varying Mesh Stiffness Calculation and Research on Dynamic Characteristic of Two-stage Helical Gear System based on Potential Energy Method[J].Journal of Mechanical Transmission,2020,44(09):51-57.
魏鹏,邓松.基于势能法的两级斜齿轮系统时变啮合刚度计算与动态特性研究[J].机械传动,2020,44(09):51-57. DOI： 10.16578/j.issn.1004.2539.2020.09.008.

Wei Peng,Deng Song.Time-varying Mesh Stiffness Calculation and Research on Dynamic Characteristic of Two-stage Helical Gear System based on Potential Energy Method[J].Journal of Mechanical Transmission,2020,44(09):51-57. DOI： 10.16578/j.issn.1004.2539.2020.09.008.

摘要

针对多级斜齿轮动力学研究中的时变啮合刚度准确计算与其波动值定量分析等现实问题，以某电动汽车用减速器两级斜齿轮为研究对象，基于势能法计算不同螺旋角, $β$ ,http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=34078123&type=,http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=34078118&type=,1.86266661,3.38666677,下各级齿轮副的时变啮合刚度。首次提出由螺旋角等齿轮参数决定的参数, $τ$ ,http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=34078148&type=,http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=34078143&type=,1.77800000,2.62466669,，定量分析表明，当, $τ$ ,http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=34078148&type=,http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=34078143&type=,1.77800000,2.62466669,值越小时，时变啮合刚度波动值, $Δ K$ ,http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=34078107&type=,http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=34078104&type=,4.57200003,2.79399991,越小。建立包含12自由度的两级斜齿轮系统集参模型，研究不同螺旋角下系统的动态特性。结果表明，当, $β$ ,http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=34078123&type=,http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=34078118&type=,1.86266661,3.38666677,为15°时，系统各项动态性能均较好，此时各级齿轮副的, $τ$ ,http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=34078148&type=,http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=34078143&type=,1.77800000,2.62466669,和, $Δ K$ ,http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=34076404&type=,http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=34076400&type=,4.74133301,2.79399991,均较小，验证了通过参数, $τ$ ,http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=34078148&type=,http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=34078143&type=,1.77800000,2.62466669,准确预估, $Δ K$ ,http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=34078107&type=,http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=34078104&type=,4.57200003,2.79399991,进而预判齿轮系统动态性能的可行性与准确性。

Abstract

Aiming at the realistic problems on accurate calculation of time-varying meshing stiffness in the research of multi-stage helical gear dynamics， as well as its quantitative analysis of fluctuation value， a two-stage helical gear reducer used in an electric vehicle is taken as the object. Firstly， time-varying meshing stiffness of each gear pair are calculated based on potential energy method under different helix angles ,β,， and the parameter ,τ, which is determined by gear parameters such as the helix angle are also calculated. Quantitative analysis shows that the smaller the value ,τ,， the smaller the stiffness fluctuation ,ΔK,. Secondly， a dynamics model on a two-stage helical gear system with 12 freedom degrees is established to study the dynamic characteristics of the system under different helix angles. The results show that the dynamic performance of the system is good when the ,β, is 15°， simultaneously， ,τ, and ,ΔK, of gear pairs at all levels are small. It verified the feasibility and accuracy of the prediction when using parameter ,τ, to predict ,ΔK,， and specifically when predicting dynamic performance of the gear system.

关键词

势能法时变啮合刚度刚度波动值两级斜齿轮动力学

Keywords

Potential energy methodTime-varying meshing stiffnessStiffness fluctuation valueTwo-stage helical gearDynamics

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