孔销式少齿差行星减速器的多目标优化及动力学仿真分析

为了达到减小减速器体积同时提高承载能力、降低运转冲击的目的，基于Hertz接触理论，引用销轴和销孔外廓参数和材料参数建立两者法向接触力的数学模型；选取减速器的5个尺寸参数为设计变量，构造8个非线性约束方程，建立起优化法向接触力和减速器体积的多目标优化模型.运用评价函数法和罚函数法求解计算实例，对优化模型进行验证，对比优化前后结果表明，减速器体积和法向接触力分别得到了13.1%和24.0%的优化率；利用ADAMS对法向接触力进行动力学仿真，得到优化前后的时域和频域仿真图，结果表明其平均优化率达到29.4%，与理论结果基本吻合.

The Rulti Objective Optimization and Dynamic Simulation Analysis of Hole Pin Type Few Teeth Difference Planetary Gear Reducer

To reduce the gearbox volume and the impact of running while improving bearing capacity, pin and pin hole profile parameters and material parameters were quoted to establish the mathematical model of normal contact force on the basis of Hertz contact theory. Five reducer dimensions were selected as the design variables to construct eight nonlinear constraint equations, and a multi-objective optimization model of optimizing contact force and reducer volume was established. Evaluation function method and penalty function method were used to verify the optimization model. A comparison of the results before and after the optimization showed that the reducer volume and the normal contact force obtained an optimization rate of 13.1% and 24% respectively. ADAMS was applied for the dynamic simulation of the normal contact force, and the simulation diagrams of time domain and frequency domain were obtained. The results showed that its average optimization rate reached 29.4% and coincided with the theoretical results.