摘要
基于Timoshenko连续梁理论,运用有限单元法和第二类Lagrange方程,建立了考虑转动惯量、陀螺力矩和剪切变形等因素影响的高速旋转系统弯扭耦合振动的多自由度动力学模型;对其在高转速下的动态特性进行了理论分析和实验研究。分析结果显示,此动力学模型及动态特性分析方法为充分认识旋转机械在高转速下的动力学特性提供重要的理论指导。
Based on the Timoshenko beam theory, a dynamics model of high - speed spinning system with multi - degrees of freedom and the stagger and pre - twist couplings including the influence of the inertia of rotating, gyroscopic effects and shear deformation is presented using finite element method and the Lagrange principle. The dynamic characteristics of it are analyzed through the theory and experiments. And the results indicate that the dynamic model and analysis method have a very important academic and realistic meaning to bring high - speed spinning machines into technological advantages, economic advantages and society advantages further.
出处
《制造技术与机床》
CSCD
北大核心
2008年第9期51-54,共4页
Manufacturing Technology & Machine Tool
基金
国家自然科学基金重点项目(50435020)资助
关键词
陀螺效应
弯扭耦合
有限单元法
临界转速
Gyroscopic Effect
Pre -twist Coupling
Finite Element Method
Critical Speed
