松动-裂纹耦合故障转子系统的非线性响应

基于现代非线性动力学和转子动力学理论,采用Newmark-β法和Poincaré映射对裂纹和一端支座松动耦合故障转子系统进行了数值模拟研究,给出了系统响应随转速比、松动质量和裂纹深度变化的分岔图,分析了一些主要参数变化的影响以及典型的Poincaré截面图。研究发现,系统存在拟周期环面破裂、阵发性分岔和多倍T周期运动失稳进入混沌三条混沌道路。这些结论为旋转机械的故障诊断提供了理论基础和参考。

Nonlinear Dynamics Behaviors of Rotor Systems with Crack and Pedestal Looseness Faults

Pedestal looseness and crack are the common faults in rotating machinery. Based on the theory of nonlinear dynamics and rotor dynamics, a model of the system with pedestal looseness and crack faults is set up. The nonlinear dynamic behaviors are studied by using the Newmark-β numerical integration and Poincaré map method. The bifurcation diagrams are given under the variation of rotation speed, mass of looseness and crack depth. Some typical Poincaré sections are also presented. From the simulation results, the system has abundant nonlinear characters. There are three ways leading the responses to chaos, which are the quasi-periodic bifurcation, intermittence bifurcation and multi-T- period motion losing its stability to chaos. The numerical analysis can provide useful proofs for the diagnosis of rotating machinery.