【摘要】 以转子动力学和非线性动力学理论为基础 ,针对非线性转子—轴承系统的具体特点 ,建立了采用短轴承模型的弹性转子—轴承系统模型 ,并用数值积分和庞加莱映射方法对其在某些参数域中进行了非线性振动研究 ,得到了系统在某些参数域中的分叉图、庞加莱映射和随转速变化的三维谱图 ,计算结果显示 ,系统有可能发生混沌运动。对系统动力学特性随某些参数变化时的非线性特性进行了分析 ,直观显示了参数变化对系统动力学特性的影响 ,为该类转子—轴承系统的设计提供了理论参考。更多还原

【Abstract】 On the basis of the theory of rotor dynamics and nonlinear dynamics and in the light of the specific features of a nonlinear rotor bearing system set up was a model of elastic rotor bearing system with the use of a short bearing model. Moreover, through the use of a numerical integration and Poincaré mapping method a nonlinear vibration study was conducted of the above rotor bearing system in the domain of certain parameters. As a result, obtained for the system in the above domain were bifurcation diagrams, Poincaré mappings and speed varied three dimensional spectral diagram. The results of calculation indicate that the rotor bearing system may be subject to chaotic motions. An analysis was conducted of the nonlinear behavior of the system dynamics characteristics, which may vary with the change of certain parameters. A visual display is thereby obtained of the influence of parameter variation on the system dynamics characteristics. The above work can provide some theoretical reference data for the design of elastic rotor bearing systems.更多还原