摘要
应用有限元法建立转子-轴承试验系统的非线性动力学模型,采用固定界面模态综合降维法将原高维系统转换为低维少自由度系统,采用Newmark-β法对降维后模型进行求解,在和全自由度模型对比满意的前提下,得出转子系统的三维谱图、分岔图、三维振幅图、轴心轨迹图以及Poincare截面图,并和试验结果进行对比,结果表明所建立的动力学模型,较为真实地反映了试验系统的非线性特性,为计算复杂转子-轴承系统的深层次动态设计提供理论依据。
The finite element method was employed to establish the nonlinear dynamical model of an existing bearing-rotor experimental system. In order to save the computing time consumption, the fixed interface mode synthesis method was adopted to reduce the original system of 56 degrees of freedom to a system of 12 degrees of freedom. Based on the satisfactory result of comparison between the reduced system and the original one, the Newmark-β method was employed to solve the reduced model numerically. The three-dimensional spectrogram, bifurcation diagram, three-dimensional amplitude diagram, chart of axes track, etc were used to analyze the nonlinear characters of the dynamical system and the results were compared with those of experiments. The results show that the numerical dynamic model truly reflects the characteristics of the nonlinear experimental system.
出处
《振动与冲击》
EI
CSCD
北大核心
2009年第8期124-127,共4页
Journal of Vibration and Shock
基金
国家自然科学基金重点资助项目(50535010)
关键词
油膜振荡
高维
非线性
动态特性
分岔
oil whipping
high-dimension
nonlinearity
dynamic characteristic
bifurcation
