拉格朗日－达朗伯方程的普遍意义及不便求解的问题

The Universal Meaning of Lagrange-D′Alembert Equation and Its Problems not so Easy to Solve

拉格朗日－达朗伯方程是动力学普遍而统一的方程，是分析力学的基础，本文阐述了方程的普遍意义；指出了应用时的限定条件；用它推导建立了动力学３个普遍定理和机械能守恒定律；并探讨了方程的局限性和不便求解的问题。

Lagrange-d′alembert equation is a unified and unified one in dynamics which reveals its general laws and serves as both a general method for solving dynamics problems and a base for analytical mechanics. A further research in this respect is of great value from both the the-oretical and practical points of view.This paper deals with its general meaning,points out theconditions that limit its applications.By deducing,three general laws of mechanics and the law ofconservation of mechanical energy have been put forward.the limitations of the equation andthe problems not so easy solve have also been studied.