Dynamics Characteristic Analysis of Involute Gear with Asymmetric Tooth Considering the Influence of Time-varying Stiffness and Backlash

Qi Chen; Zhigang Yao; Yadong Wang; Yanming Wu

doi:10.16578/j.issn.1004.2539.2019.04.004

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Dynamics Characteristic Analysis of Involute Gear with Asymmetric Tooth Considering the Influence of Time-varying Stiffness and Backlash

Theory·Reserach | 更新时间：2022-10-03

- Dynamics Characteristic Analysis of Involute Gear with Asymmetric Tooth Considering the Influence of Time-varying Stiffness and Backlash
- Journal of Mechanical Transmission Vol. 43, Issue 4, Pages: 15-20(2019)
- 作者机构：
  
  1.合肥工业大学机械工程学院，安徽合肥 230009
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2019.04.004
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陈奇,姚志刚,王亚东等.考虑时变刚度与侧隙影响的非对称渐开线齿轮动力学特性研究[J].机械传动,2019,43(04):15-20.

Chen Qi,Yao Zhigang,Wang Yadong,et al.Dynamics Characteristic Analysis of Involute Gear with Asymmetric Tooth Considering the Influence of Time-varying Stiffness and Backlash[J].Journal of Mechanical Transmission,2019,43(04):15-20.
陈奇,姚志刚,王亚东等.考虑时变刚度与侧隙影响的非对称渐开线齿轮动力学特性研究[J].机械传动,2019,43(04):15-20. DOI： 10.16578/j.issn.1004.2539.2019.04.004.

Chen Qi,Yao Zhigang,Wang Yadong,et al.Dynamics Characteristic Analysis of Involute Gear with Asymmetric Tooth Considering the Influence of Time-varying Stiffness and Backlash[J].Journal of Mechanical Transmission,2019,43(04):15-20. DOI： 10.16578/j.issn.1004.2539.2019.04.004.

摘要

为获得更为准确的非对称渐开线齿轮动力学变化规律，将时变啮合刚度和齿轮侧隙两个因素引入传统齿轮副扭转振动模型，建立非对称渐开线齿轮的动力学模型；利用Runge-Kutta法求解该模型，获得时间历程图、相图、Poincaré映射图以及FFT频谱图，进而分析时变啮合刚度和齿轮侧隙变化时的齿轮动力学行为。研究发现，非对称渐开线齿轮的平均啮合刚度大于对称渐开线齿轮，具有更优的动力学性能；时变啮合刚度中的1阶谐波分量对动力学性能影响不大，但平均啮合刚度影响较大，且其与动力学性能之间呈现出非线性变化规律，即随着平均啮合刚度的增加，动力学特性由差变好，但继续增加后又变差，因此，需根据实际工况确定其最优值。随着齿轮侧隙的增加，动力学性能下降，与对称渐开线齿轮相同。该项研究对于扩充非对称渐开线齿轮动力学理论体系、提高其传动性能，具有一定的理论意义和应用价值。

Abstract

To obtain more accurate dynamics change law for asymmetric involute gear， dynamics model of asymmetric involute gear is established by introducing time-varying stiffness and gear backlash. The time history chart， phase diagram， Poincaré perception map and FFT spectrogram are obtained by Runge-Kutta method， then the dynamics behaviors of gear with time-varying stiffness and changing backlash are analyzed. The research result shows that the average meshing stiffness of asymmetric involute gears is greater than that of symmetrical involute gears， and the asymmetric involute gear has better dynamics performance. And the one-order harmonic component in the varying mesh stiffness has little effect on dynamics performance， but the average mesh stiffness has greater impact. Moreover， the relationship between the average mesh stiffness and dynamics performance are nonlinear. That is， with the increase of the average meshing stiffness， the dynamics characteristics becomes better from worse， but the average meshing stiffness continues to increase and then the dynamic characteristics become inferior， so the optimal value of the average meshing stiffness should be determined according to the actual working conditions. In addition， when the gear backlash adds， the dynamics performance drops， so as to the symmetrical involute gear. The research here provides a great theoretical significance and practical value for expanding the theoretical system of asymmetric involute gear dynamics and improving its transmission performances.

关键词

时变刚度齿侧间隙非对称渐开线齿轮动力学特性

Keywords

Time-varying stiffnessGear backlashAsymmetric involute gearDynamics characteristic

references

肖望强，李威，韩建友，等. 双压力角非对称齿廓渐开线齿轮的振动分析［J］. 中国机械工程， 2006（6）： 645-649.

LITVIN F L， LIAN Q， KAPELEVICH A L. Asymmetric modified spur gear drives： reduction of noise， localization of contact， simulation of meshing and stress analysis［J］. Computer Methods in Applied Mechanics and Engineering， 2000， 188（1/2/3）：363-390.

王小群，孙萍，李威. 非对称渐开线圆柱齿轮建模与扭转振动仿真［J］. 工程科学学报， 2007， 29（12）：1264-1267.

KAPELEVICH A. Geometry and design of involute spur gears with asymmetric teeth［J］. Mechanism & Machine Theory， 2000， 35（1）：117-130.

肖望强，李威，韩建友. 双压力角非对称齿廓齿轮的啮合机理分析［J］. 农业机械学报， 2008（5）：169-173.

肖望强. 高性能双压力角非对称齿轮传动啮合机理及承载能力研究［D］. 北京：北京科技大学， 2008：12-26.

李宁，李威，韩建友，等. 非对称齿廓渐开线斜齿圆柱齿轮的齿形设计及啮合分析［J］. 北京科技大学学报， 2011， 33（7）：876-882.

朱旭辉. 基于ADAMS的非对称渐开线齿轮动力学仿真［J］. 机电工程技术， 2014（8）：107-110.

肖望强，李威，韩建友. 非对称齿廓渐开线齿轮传动的热分析［J］. 农业机械学报， 2006（12）：164-167.

肖望强，李威，李梅. 双压力角非对称齿廓齿轮齿根弯曲应力的有限元分析［J］. 北京科技大学学报， 2006（6）：570-575.

DENG G， NAKANISHI T， INOUE K. Bending load capacity enhancement using an asymmetric tooth profile［J］. JSME International Journal Series C Mechanical Systems， Machine Elements and Manufacturing， 2003， 46（3）：1171-1177.

娄依志，王小群，李威. 非对称渐开线圆柱齿轮的动力学特性［J］. 工程科学学报， 2005（3）：334-337.

朱良，郗军红，于慧. 非对称渐开线直齿圆柱齿轮动态特性研究［J］. 机械传动， 2014， 38（9）：30-33.

李润方，王建军. 齿轮系统动力学［M］. 北京：科学出版社. 1997：156-174.

CHEN Q， MA Y， HUANG S， et al. Research on gears’ dynamic performance influenced by gear backlash based on fractal theory ［J］. Applied Surface Science， 2014， 313：325-332.

KAHRAMAN A， SINGH R. Interactions between time-varying mesh stiffness and clearance non-linearities in a geared system［J］. Journal of Sound and Vibration， 1991， 146（1）：135-156.

CHEN S. Effect of backlash on dynamics of spur gear pair system with friction and time-varying stiffness［J］. Journal of Mechanical Engineering， 2009， 45（8）：119-224.

THEODOSSIADES S， NATSIAVAS S. Non-linear dynamics of gear-pair systems with periodic stiffness and backlash［J］. Journal of Sound and Vibration， 2000， 229（2）：287-310.

KAHRAMAN A， SINGH R. Non-linear dynamics of a spur gear pair［J］. Journal of Sound and Vibration， 1990， 142（1）：49-75.

李英明，陈卫东，陈奇，等. 齿侧间隙对齿轮副非线性振动特性的影响研究［J］. 机械传动， 2013， 37（5）：1-5.

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