摘要
针对转子动力学系统横向振动基本方程进行研究.将Euler(欧拉)角表示引入转子动力学系统,可以建立描述转子的非线性旋转运动的精细数学模型.并将该精细模型线性化,建立了描述转子动力的基本方程,通过数值算例分析验证了该方程的正确性和有效性.
The basic equation of transverse vibration for rotor systems was investigated. First the previous precise nonlinear mathematical model for rotor dynamics, which had been built through the introduction of the Euler angle representation to describe the nonlinear motions of rotors, was discussed. Then a linearized model for rotor dynamics based on the precise nonlin- ear mathematical model was developed. Results of the numerical tests verify the correctness and validity of the proposed linear basic equation.
出处
《应用数学和力学》
CSCD
北大核心
2015年第10期1011-1018,共8页
Applied Mathematics and Mechanics
基金
国家自然科学基金(面上项目)(11472067)~~
