摘要
研究了作大范围运动薄板的耦合动力学建模理论和离散化方法。对作大范围运动的薄板建立了耦合动力学模型 ,计及了在结构动力学中对薄板动力学特性影响很小的二次耦合变形量。用有限元方法对柔性薄板进行离散 ,基于 Jourdain速度变分原理导出了作大范围运动薄板的动力学方程。计算了作旋转运动的薄板的变形 ,将仿真结果与不计二次耦合变形量的传统方法进行比较表明 ,随着转速的提高 ,仿真结果出现明显的差异。此外 ,将本文有限元与假设模态法的计算结果进行比较 ,揭示了高速旋转时假设模态法的局限性 ,表明取无大范围运动的高阶模态可以提高假设模态法的计算精度。
In this paper, the coupling dynamic modeling theory and the discretization method of an elastic plate undergoing large overall motion are studied. A coupling dynamic model of the plate is established. The second order coupling deformation variables, which have little effect on the dynamic behavioars of the system, are kept in the deformation. The equations of motion are established using finite element method and Jourdain's velocity variation principle. The deformation results of a rotating elastic plate are compared with those obtained by the conventional model in which the coupling terms of the deformation are neglected. It is shown that the difference between the simulation results of the new and conventional methods increases with the rotating speed. Furthermore, it is demonstrated that the finite element method is more accurate than the modal assumption method.
出处
《振动工程学报》
EI
CSCD
北大核心
2003年第2期175-179,共5页
Journal of Vibration Engineering
基金
国家自然科学基金重点资助项目 (编号 :19832 0 40 )
博士点基金资助项目 (编号 :2 0 0 0 2 4818)
