摘要
综述了国内外非线性转子动力学的研究现状 ,讨论了非线性转子动力学研究中的 7个主要问题 ,并引述了大量相应的国内外文献 ,包括 :非线性转子动力学研究的一般方法 ;求解非线性转子动力学问题的数值积分方法 ;大型转子 -轴承系统高维非线性动力学问题的降维求解 ;基于微分流形的动力系统理论方法 ;转子非线性动力学行为的机理研究和实验研究 ;高速转子 -轴承系统的非线性动力学设计 。
The current study of nonlinear rotor dynamics is reviewed in this paper. A serious of methods in studying nonlinear rotor dynamics are discussed with plentiful relative references. The 8 problems discussed in this paper are: the general methods in the study of nonlinear rotor dynamics; the numerical integrating methods for solving the problem of nonlinear rotor dynamics; the reduction of high dimension of nonlinear rotor dynamics for a large scale rotor bearing system; the theory and method of dynamic system based on the differential manifold; the experimental study and study of mechanism of the dynamic behavior of a nonlinear rotor; the study of nonlinear dynamical design of a large scale high dimensional rotor bearing system. Finally the problems and prospects of the study of nonlinear rotor dynamics are discussed.
出处
《振动工程学报》
EI
CSCD
2000年第4期497-509,共13页
Journal of Vibration Engineering
基金
国家自然科学基金重大资助项目(编号19990510)
国家重点基础研究发展规划资助项目(编号G1998020316
关键词
非线性动力学
分岔
混沌
稳定性
non linear dynamics
bifurcation
chaos
stability
