气浮长轴承支撑弹性转子的非线性动力学行为分析

Analysis of Nonlinear Dynamic Behaviors on Rotor System Supported by Gas Journal Bearings

以气浮长轴承支持的高速弹性转子-轴承系统为研究对象,采用一种新的长轴承气膜力的表达式,并运用现代非线性动力学理论建立系统的动力学方程,利用Runge-Kutta法求解非线性方程,运用Fortran和Matlab对系统进行数值模拟。通过分析相图、分岔图、Poincare截面图以及幅值谱图,得出系统丰富的非线性特性。结果表明,系统中存在分岔、概周期及混沌运动等复杂的动力学行为,在此基础上分析了系统的某些参数对系统非线性动力学行为的影响。

The moving equation of rotor-bearing system supported by gas journal bearing with unsteady,nonlinear gas film force were estabilished through using nonlinear dynamical theories.The nonlinear dynamical behaviors of the system were studied using Ruonge-Kutta method and its dynamical characters were analyzed with the help of the Poincare maps and spectum analysis.The complicated dynamical behaviors such as bifurcation,quasi-periodic and chaotic motion were found.The influence on nonlinear dynamical behaviors by some parameters are analyzed.