齿轮传动系统在随机激励下的响应分析

Dynamic Response of Gear System with Time-varying under Random Excitation

基于齿轮啮合原理及随机振动理论,在不考虑齿面摩擦的情况下,采用集中质量法,建立直齿圆柱齿轮传动系统4自由度的简化模型。在该模型中,由于参数的随机扰动和随机激励的存在,使得确定性的系统变为随机系统。针对系统中随机参数作用的特点,建立新的齿轮系统非线性模型,研究随机参数下齿轮传动系统的响应和随机外激励下系统的响应,并结合MATLAB软件对齿轮传动系统的响应进行了仿真分析。

A four freedom degrees mathematical model of cylinder gear transmission system is built using the lumped mass method,based on gear meshing theory and random vibration theory,but tooth surface friction is not considered. In this model,due to the stochastic parameters and random excitations,it has made the uncertainty system into stochastic system. A new model of the nonlinear gear system is established,aiming at the characteristics of random parameters in the system. So the dynamic response of gear transmission system with stochastic parameters and random excitations system has been researched and analyzed. And a simulation method which combines with MATLAB software is carried out to research the response of gear transmission system.