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 ,用数值积分和庞加莱映射方法对采用短轴承模型的刚性Jeffcott转子轴承系统在较宽参数范围内进行稳定性研究。计算结果表明 ,系统存在混沌运动。用数值方法得到系统在某些参数域中的分叉图、响应曲线、频谱图、相图、轴心轨迹、及庞加莱映射图 ,直观显示了系统在某些参数域中的运行状态 ;同时 ,由轴承几何尺寸对系统稳定性的影响进行了分析 ,数值分析结果为该类转子
In connection with the specific features of a nonlinear rotor bearing system and under a relatively wide range of parameters a study has been conducted of the stability of a rigid Jeffcott rotor bearing system using a short bearing model. The study was performed on the basis of the rotor dynamics and nonlinear dynamics theory and with the use of a numerical integration and Poincaré mapping method. The results of calculation show that there exist chaotic motions in the above mentioned system. With the help of a numerical method obtained in some parameter domains of the system were the following: bifurcation diagrams, response curves, time histories, frequency spectrum and phase diagrams, shaft centerline locus and Poincaré mapping diagram. All the above gives a visual display of the operating condition of the system in some parameter domains. Meanwhile, an analysis was conducted of the effect of the bearing geometric dimensions on the stability of the system. The results of the numerical analysis can provide a theoretical basis for the design and safe operation of this type of rotor bearing system.
出处
《热能动力工程》
CAS
CSCD
北大核心
2000年第4期367-369,共3页
Journal of Engineering for Thermal Energy and Power
基金
国家自然科学基金资助 (重大 )项目 !( 19990 510 )
关键词
非线性转子
轴承系统
混沌
旋转机械
rotor dynamics, nonlinearity, rotor bearing system, chaotic motion , stability
