Dynamics Analysis of Gears with Constant Relative Curvature Considering Time-varying Effect

Liu Lei; Ni Jiale; Jiang Wuhong

doi:10.16578/j.issn.1004.2539.2022.11.002

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Dynamics Analysis of Gears with Constant Relative Curvature Considering Time-varying Effect

Theory·Research | 更新时间：2022-12-01

- Dynamics Analysis of Gears with Constant Relative Curvature Considering Time-varying Effect
- Journal of Mechanical Transmission Vol. 46, Issue 11, Pages: 10-15(2022)
- 作者机构：
  
  1.南京航空航天大学机电学院，江苏南京 210016
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2022.11.002
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刘雷,倪佳乐,江吴宏.考虑时变效应的等相对曲率齿轮动力学分析[J].机械传动,2022,46(11):10-15.

Liu Lei,Ni Jiale,Jiang Wuhong.Dynamics Analysis of Gears with Constant Relative Curvature Considering Time-varying Effect[J].Journal of Mechanical Transmission,2022,46(11):10-15.
刘雷,倪佳乐,江吴宏.考虑时变效应的等相对曲率齿轮动力学分析[J].机械传动,2022,46(11):10-15. DOI： 10.16578/j.issn.1004.2539.2022.11.002.

Liu Lei,Ni Jiale,Jiang Wuhong.Dynamics Analysis of Gears with Constant Relative Curvature Considering Time-varying Effect[J].Journal of Mechanical Transmission,2022,46(11):10-15. DOI： 10.16578/j.issn.1004.2539.2022.11.002.

摘要

为了研究等相对曲率齿轮的动力学特性，通过实时调用啮合点几何参数，建立了考虑法向啮合力方向、滑动摩擦因数及啮合刚度等时变效应的齿轮系统的平移-扭转耦合动力学模型，采用龙格-库塔法求解了动力学方程；通过与有限元仿真相关结果比较，验证了模型的正确性。对比分析等相对曲率齿轮与渐开线齿轮的动力学特性，结果表明，两者的动态传递误差、平均机械效率接近；等相对曲率齿轮的滑动摩擦力、滑动摩擦因数较小。建立的动力学模型能够反映等相对曲率齿轮的动力学特性，建模方法对其他非渐开线圆柱齿轮传动同样适用。

Abstract

In order to investigate the dynamics characteristics of gears with constant relative curvature (CRC gears), a translation-torsional coupling dynamics model of the gear transmission system is established by instantly invoking the geometric parameters of the meshing points, considering the time-varying effects such as the direction of normal meshing force, sliding friction coefficient and meshing stiffness. The Range-Kutta method is utilized to solve the dynamics equations numerically; the model is verified to be correct by comparing with the finite element simulation results. The results show that the dynamic transmission error and the average mechanical efficiency of the two gears are close to each other; the sliding friction force and sliding friction coefficient of the CRC gear are smaller. The dynamics model can reflect dynamics characteristics of the CRC gear, which also applies to other non-involute cylindrical gear drives.

关键词

等相对曲率齿轮啮合线动力学模型时变效应摩擦因数

Keywords

Gears with constant relative curvaturePath of contactDynamics modelTime-varying effectFriction coefficient

references

DYSON A，EVANS H P，SNIDLE R W.Wildhaber-Novikov circular arc gears：some properties of relevance to their design［J］.Proceedings of the Royal Society A，Mathematical，Physical and Engineering Sciences，1989，425（1869）：341-363.

YANG S C.Mathematical model of a stepped triple circular-arc gear［J］.Mechanism and Machine Theory，2009，44（5）：1019-1031.

KOMORI T，ARIGA Y，NAGATA S.A new gears profile having zero relative curvature at many contact points （logix tooth profile）［J］.Journal of Mechanisms，Transmissions and Automation in Design，1990，112（3）：430-436.

BERLINGER J B E，COULBOURNE J R.Gear form constructions：US6101892［P］.2000-08-15.

LUO S M，WU Y M，WANG J.The generation principle and mathematical models of a novel cosine gear drive［J］.Mechanism and Machine Theory，2008，43（12）：1543-1556.

WU Y C，CHEN K Y，TSAY C B，et al.Contact characteristics of circular-arc curvilinear tooth gear drives［J］.Journal of Mechanical Design，2009，131（8）：81003-81010.

罗齐汉，厉海祥，张予川，等.点线啮合齿轮参数选择的封闭图［J］.机械工程学报，2005，41（1）：37-40.

LUO Qihan，LI Haixiang，ZHANG Yuchuan，et al.Closed picture of point-line gear parameter selection［J］.Journal of Mechanical Engineering，2005，41（1）：37-40.

HLEBANJA G.S-gears for wind power turbine operating conditions［J］.Machine Design，2012，4（3）：123-130.

WANG J，LIANG H，LUO S M，et al.Active design of tooth profiles using parabolic curve as the line of action［J］.Mechanism and Machine Theory，2013，67（9）：47-63.

曹涛，刘雷.新型环面渐开线齿轮齿面生成和几何特性研究［J］.中国机械工程，2014，25（22）：2983-2992.

CAO Tao，LIU Lei.Study on tooth surface generation and geometrical characteristics of novel torus-involute gears［J］.China Mechanical Engineering，2014，25（22）：2983-2992.

LIU L，MENG F，NI J L.A novel non-involute gear designed based on control of relative curvature［J］.Mechanism and Machine Theory，2019，140（3）：144-158.

刘雷，孟飞，倪佳乐，等.相对曲率齿轮及其设计方法：CN109241679A［P］.2019-01-18.

LIU Lei，MENG Fei，NI Jiale，et al.Gear with constant relative curvature and its design method：CN109241679A［P］.2019-01-18.

黄康，汪涛.微线段齿轮系统动力学特性分析［J］.振动与冲击，2018，37（2）：248-253.

HUANG Kang，WANG Tao.Dynamic features of a micro-segment gear system［J］.Journal of Vibration and Shock，2018，37（2）：248-253.

CORNELL R W.Compliance and stress sensitivity of spur gear teeth［J］.Journal of Mechanical Design，1981，103（2）：447-459.

JOHNSON K L.Contact mechanics［M］.Cambridge：Cambridge University Press，1985：90-91.

XU H，KAHRAMAN A，ANDERSON N E，et al.Prediction of mechanical efficiency of parallel-axis gear pairs［J］.Journal of Mechanical Design，2007，129（1）：58-68.

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