气体动压轴承-转子动力系统稳定性及分岔

基于非线性动力学理论,研究了普通圆柱型径向气体动压轴承支承的转子动力系统的运动稳定性和分岔.建立了气体动压轴承-Jeffcott转子系统的力学模型,并采用有限元方法逼近非定常气体雷诺方程,得到任意时刻的气膜力;数值模拟该非线性动力系统的长期行为,得到了轴颈中心的运动轨迹;并采用轨迹图、相图、分岔图以及功率谱等,研究了系统的非线性行为以及不平衡响应的稳定性.研究结果表明:该方法对气体轴承中存在的气膜涡动问题能够给予合理的解释.

Stability and bifurcation of symmetrical rotor in self-acting gas journal bearings

Based on the nonlinear dynamics theory,the stability and bifurcation of a symmetrical rotor supported in self-acting gas bearings were studied.A dynamic model of self-acting gas journal bearings and Jeffcott rotor system was established,meanwhile the finite element method was used to approach the time-dependent Reynolds equation,thus obtaining the gas film force.Furthermore,the longterm nonlinear dynamic behaviors of the system were simulated numerically,so the system state trajectory of journal center was acquired.Moreover,the system state trajectory,phase diagram,bifurcation diagram and power spectrum were adopted to analyze the nonlinear behaviors of system and the stability of unbalanced response.The results show that this method could give a deep understanding of whirling instability of the gas film bearings-rotor system.