Study on Nonlinear Vibration Analysis of Gear System with Random Parameters

3rd International Conference on Energy Equipment Science and Engineering

Tong, Cao^1 ; Liu, Xiaoyuan^1 ; Fan, Li^2

State Key Laboratory of Robotics, Shenyang Institute of Automation, Chinese Academy of Sciences, Shenyang

110016, China^1

Shanghai Huzhong Certified Public Accountant Limited Company, Shanghai

200040, China^2

关键词: Bifurcation and chaos;    Dynamic characteristics;    Nonlinear vibration analysis;    Nonlinear vibration systems;    Stability analysis method;    Stochastic parameters;    Stochastic vibration analysis;    Vibration engineering;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/128/1/012100/pdf
DOI  :  10.1088/1755-1315/128/1/012100

来源: IOP

【 摘 要 】

In order to study the dynamic characteristics of gear nonlinear vibration system and the influence of random parameters, firstly, a nonlinear stochastic vibration analysis model of gear 3-DOF is established based on Newton's Law. And the random response of gear vibration is simulated by stepwise integration method. Secondly, the influence of stochastic parameters such as meshing damping, tooth side gap and excitation frequency on the dynamic response of gear nonlinear system is analyzed by using the stability analysis method such as bifurcation diagram and Lyapunov exponent method. The analysis shows that the stochastic process can not be neglected, which can cause the random bifurcation and chaos of the system response. This study will provide important reference value for vibration engineering designers.