圆柱齿轮多齿高重合度啮合齿轮参数优化研究  

Study on Optimizing the Parameters of Cylindrical Gear Meshing Gears with Multi-Teeth and High Overlapping Degree

作　　者：余松林 刘海初 潘江如 黄勇 YU Song-lin;LIU Hai-chu;PAN Jiang-ru;HUANG Yong(Engineering Training Center of Xinjiang Institute of Technology,Xinjiang Urumqi 830011,China)

机构地区：[1]新疆工程学院工程训练中心,新疆乌鲁木齐830011

出　　处：《机械设计与制造》2022年第2期157-161,共5页Machinery Design & Manufacture

基　　金：乌鲁木齐市科学技术计划项目(Y161020001)。

摘　　要：圆柱齿轮多齿啮合齿轮参数优化是多工位传动链设计的关键。通过对齿轮啮合区域瞬时重合度分析,推导出主动轮旋转一个周期瞬时重合度的变化频率与主动轮齿数和重合度之间的数学关系;得出满足1个主动轮圆周均布n个相同均载从动轮啮合力相等的基本条件。以高重度和等弯曲强度作为目标函数,接触强度、胶合强度、弯曲强度等作为约束条件,理想点法作为高重合深度优化理论,通过MATLAB遗传算法直接搜索得出多目标函数最优解,确定齿轮基本参数;通过Adams仿真验证确定优化后的齿轮在相同边界条件下,啮合力幅值更小,啮合力变化更平稳。The parameter optimization of cylindrical gear with multi-teeth meshing is the key to the design of multi-station transmission chain. Through the analysis of the instantaneous coincidence degree in the meshing area of gears,the mathematical relationship between the change frequency of the instantaneous coincidence degree and the number and coincidence degree of the teeth of the driving wheel during a period of rotation is derived. The basic condition that the meshing force of N identical follower wheels with load of equal is obtained.Taking high gravity and equal bending strength as objective functions,contact strength,bonding strength and bending strength as constraints,ideal point method as optimization theory of high coincidence depth,the optimal solution of multi-objective function is obtained through direct search of MATLAB genetic algorithm,and the basic parameters of gear are determined. The simulation results of Adams show that the meshing force of the optimized gear is smaller and the change of meshing force is more stable under the same boundary conditions.

关 键 词：多齿啮合 高重合度 多目标优化 啮合力 

分 类 号：TH16[机械工程—机械制造及自动化] TH122