摘要
分析力学中,在构建刚体的运动微分方程时,使用拉格朗日方程非常方便,因为借助拉格朗日方程来建立运动微分方程时,只需写出系统的动能和势能。现以铁木辛柯梁和小挠度矩形薄板为研究对象,沿用分析力学的方法,实现了分析力学方法在弹性力学中的应用。
In analytic mechanics, when differential equations of motion of rigid body are constructed, the Lagrange equation is chosen. Since the differential equation of motion is established with the aid of the Lagrange equation, it only needs wdting the kinetic and potential energy of the system. This article takes the Timoshenko beams and small deflection thin plate as the research objects and the analytic mechanics method is applied to the elasticity theory.
出处
《机械制造与自动化》
2015年第3期71-74,共4页
Machine Building & Automation
关键词
分析力学
弹性力学
铁木辛柯梁
小挠度矩形薄板
挠曲线方程
最小势能原理
analytical mechanics
elastic mechanics
timoshenco beam
small deflection thin plate
equation of deflection curve theorem of minimum potential energy
