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 cho-sen. Since the differential equation of motion is established with the aid of the Lagrange equation, it only needs writing the kinetic and potential energy of the system. This article takes the Timoshenko beams and smal deflection thin plate as the research objects and the analytic mechanics method is applied to the elasticity theory.
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