• CN:11-2187/TH
  • ISSN:0577-6686

机械工程学报 ›› 2018, Vol. 54 ›› Issue (11): 161-171.doi: 10.3901/JME.2018.11.161

• 机构学及机器人 • 上一篇    下一篇

四级行星齿轮减速器耦合系统动态性能优化

林腾蛟1, 曹洪1, 谭自然1, 何泽银1, 吕和生2   

  1. 1. 重庆大学机械传动国家重点实验室 重庆 400044;
    2. 重庆齿轮箱有限责任公司 重庆 402263
  • 收稿日期:2017-09-22 修回日期:2018-02-17 出版日期:2018-06-05 发布日期:2018-06-05
  • 通讯作者: 林腾蛟(通信作者),男,1968年出生,博士,教授,博士研究生导师。主要研究方向为机械计算机辅助设计、机械动力学。E-mail:tjlin@cqu.edu.cn
  • 基金资助:
    国家自然科学基金(51175524)和重庆市重点产业共性关键技术创新专项(cstc2015zdcy-ztzx70013)资助项目。

Dynamic Performance Optimization of Coupled System for Four-stage Planetary Gear Reducer

LIN Tengjiao1, CAO Hong1, TAN Ziran1, HE Zeyin1, LÜ Hesheng2   

  1. 1. State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing 400044;
    2. Chongqing Gearbox Co., Ltd., Chongqing 402263
  • Received:2017-09-22 Revised:2018-02-17 Online:2018-06-05 Published:2018-06-05

摘要: 为研究复杂激励作用下多级行星齿轮减速器的耦合振动响应及动态性能优化方法,以某型海洋平台升降齿轮箱为对象,建立了包含时变啮合刚度、传动误差、啮合阻尼、齿侧间隙、摩擦力矩、结合部刚度和阻尼等因素的四级行星耦合系统动力学集中参数模型,采用龙格库塔法对额定工况下的动力学方程进行求解,并将计算所得的振动响应与实测结果进行对比,两者吻合较好。在此基础上,提出了基于谐波平衡法的多级行星齿轮耦合系统动态优化方法,以减速器壳体尺寸参数和齿轮副基本参数为设计变量,减速器总传动比、实际中心距、轮齿强度等为约束条件,振动加速度均方根值和总体质量最小为目标,建立多目标混合离散优化模型,基于分枝定界算法编写程序求解模型,获得最优设计变量。结果表明,优化后减速器总质量减小8.2%,传动系统振动加速度降低33.4%,壳体振动加速度降低70.5%,优化效果明显。

关键词: 多目标优化, 耦合振动, 升降齿轮箱, 行星齿轮传动

Abstract: In order to investigate the coupled vibration response and dynamic performance optimization method of multi-stage planetary gear reducer under complex excitation, a certain type of offshore platform lifting gearbox is studied, and a dynamic lumped parameter model for four-stage planetary gear coupled system with consideration of time-varying mesh stiffness, transmission error, mesh damping, backlash, friction moment, combined stiffness and damp is established. The dynamic equation under rated condition is solved with Runge-Kutta method, and the calculated vibration response has a good agreement with experimental value. On this basis, a dynamic optimization method of multi-stage planetary coupled system is developed by harmonic balance method. A multi-objective mixed discrete optimization model is established by taking structural parameters of housing and gear set as design variables, taking total transmission ratio, practical center distance, gear strength, etc. as constraint conditions, and taking minimizing RMS value of vibration acceleration and total mass as optimization object. The optimal design variable is solved through optimization program based on the branch-bound algorithm. It shows that total mass of the optimized gear reducer decreases by 8.2%, vibration acceleration of gear set decreases by 33.4%, vibration acceleration of housing decreases by 70.5%, which indicates the optimization is effective.

Key words: coupled vibration, lifting gearbox, multi-objective optimization, planetary gear transmission

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