基于混沌蚁群优化算法的齿轮传动误差研究

doi:10.16182/j.issn1004731x.joss.17-0398

系统仿真学报 ›› 2019, Vol. 31 ›› Issue (9): 1942-1949.doi: 10.16182/j.issn1004731x.joss.17-0398

• 仿真应用工程 • 上一篇

基于混沌蚁群优化算法的齿轮传动误差研究

刘欣荣¹, 汪中厚¹, 久保爱三²

1. 上海理工大学,上海 200093;
2. 京都大学工学部,京都 606-8501

收稿日期:2017-08-17 修回日期:2017-09-27 发布日期:2019-12-12
通讯作者: 汪中厚(1963-),男,安徽安庆,博士,教授,研究方向为齿轮动力学性能仿真、CAE及其应用。
作者简介:刘欣荣(1987-),男,江苏泰兴,博士,副教授,研究方向为齿轮系统动力学
基金资助:
上海市科学技术委员会民生科技支撑计划专项(15110502300)

Research on Gear Transmission Error Based on Chaotic Ant Swarm Optimization

Liu Xinrong¹, Wang Zhonghou¹, Kubo Aizoh²

1. University of Shanghai for Science and Technology , Shanghai 200093, China;
2. School of Engineering, Kyoto University, Kyoto 606-8501, Japan

Received:2017-08-17 Revised:2017-09-27 Published:2019-12-12

摘要/Abstract

摘要： 综合计入时变啮合刚度与啮合冲击激励,建立了圆柱斜齿轮系统弯-扭-轴-热的动力学模型;通过理论齿面和修形齿面叠加,运用NURBS法重构修形齿面,分析了不同修形量对齿轮传动误差的影响规律。通过混沌蚁群算法,优化出最佳的修形齿面,运用有限元方法分析出修形齿轮和未修形齿轮的传动误差,分析表明,传动误差的幅值减小了约38%,齿面接触区域趋于齿面最佳位置,载荷密度分布均匀。实验结果表明,变速箱的振动频谱图的幅值降低了31.6%,减振效果明显;齿面接触区域和仿真结果一致。

关键词: 承载接触分析, 传动误差优化, 齿面修形, 振动

Abstract: In this paper, the dynamic model of bending- torsion -axis- heat of cylindrical helical gear system is established by considering the time-varying meshing stiffness and meshing impulse excitation. The NURBS method is used to reconstruct the trimming surface through superimposing the theoretical tooth surface and trimming tooth surface, then the influence of different trimming on the gear transmission error is analyzed. The optimal trimming surface is obtained by Chaos Ant Colony Algorithm. The finite element method is used to analyze the transmission error of the modified gear and the unshaped gear. The numerical simulation analysis shows that the amplitude of the transmission error decreases by about 38%. The tooth contact area tends to be the best position of the tooth surface, and the load density distribution is uniform. The experimental results show that the amplitude of the vibration spectrum of the gearbox decreases by 31.6%, and the vibration reduction effect is obvious. In addition, the tooth contact area is consistent with the simulation results.

Key words: load contact analysis, transmission error optimization, tooth surface modification, vibration

中图分类号:

TH132

刘欣荣, 汪中厚, 久保爱三. 基于混沌蚁群优化算法的齿轮传动误差研究[J]. 系统仿真学报, 2019, 31(9): 1942-1949.

Liu Xinrong, Wang Zhonghou, Kubo Aizoh. Research on Gear Transmission Error Based on Chaotic Ant Swarm Optimization[J]. Journal of System Simulation, 2019, 31(9): 1942-1949.

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基于混沌蚁群优化算法的齿轮传动误差研究

Research on Gear Transmission Error Based on Chaotic Ant Swarm Optimization

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