基于混合离散方法的多级齿轮传动系统振动优化  

Vibration Optimization of Multi-gear Transmission System based on Mixed-discrete Method

作　　者：张丽娟[1] 

机构地区：[1]青海民族大学建筑工程学院,青海西宁810007

出　　处：《机械传动》2017年第1期155-159,共5页Journal of Mechanical Transmission

摘　　要：综合考虑齿轮副啮合刚度、啮合阻尼和传动误差,基于集中参数法建立了多级齿轮传动六自由度纯扭转模型微分方程,采用谐波平衡法求解得到系统各部件的振动加速度;以所有部件的质量和振动加速度最小为优化目标函数,各级齿轮副的齿数、模数和螺旋角等为优化设计变量,齿轮强度、传动比和重合度等为约束条件,建立了多级齿轮传动系统振动优化模型。基于分支定界算法,在MATLAB中编写混合离散优化程序,求解得到最优的设计变量;进而对振动响应进行重分析,验证了优化效果。结果表明,优化后系统加速度平均值较优化前减小了33.5%,总质量较优化前减小了12.96%,优化效果较为显著。Taking the gear pair meshing stiffness, meshing damping and transmission error into considera- tion, the six degree of freedom pure torsion model differential equation of multi - gear transmission is set up based on lumped parameter method, the vibration accelerated speed of each component is obtained by adopting harmonic balance method. Setting minimal mass and vibration accelerated speed of total components as optimi- zation objective function, the teeth number, module, helical angle as optimization design variable, the gear strength, transmission ratio and contact ratio as constraint condition, the vibration optimization modal of multi - gear transmission system is built. The best design variables are solved by compiling mixed - discrete optimiza- tion codes based on branch and bound algorithm. Then, the vibration response is recalculated, the results point out that the mean vibration acceleration and total mass are decreased by 33.5 percent and 12.96 percent respec- tively, which indicates the remarkable effect of vibration optimization.

关 键 词：混合离散方法 多级齿轮传动 振动优化 

分 类 号：TH132.41[机械工程—机械制造及自动化]