动力学普遍方程的普遍性--分析力学札记之三十一  

THE GENERALITY OF THE GENERAL EQUATIONS OF DYNAMICS

作　　者：梅凤翔[1] MEI Fengxiang(Department of Mechanics,Beijing Institute of Technology,Beijing 100081,China)

机构地区：[1]北京理工大学宇航学院,北京100081

出　　处：《力学与实践》2020年第2期209-213,共5页Mechanics in Engineering

基　　金：国家自然科学基金资助项目(11272050,11572034)。

摘　　要：理论力学中动力学普遍方程,在分析力学中称为d’Alembert-Lagrange原理。动力学普遍方程之普遍在于,由它不仅可导出动力学普遍定理,可导出完整约束系统和非完整约束系统的运动微分方程,还可导出积分变分原理。The general equations of dynamics in theoretical mechanics are referred to as the principle of d’Alembert-Lagrange in analytical mechanics.The generality of these equations lies on the fact that from these equations not only can the general theorems of dynamics be proved,but also can the differential equations of motion for systems with the holomonic or inholomonic constraints be derived,as well as the related integral functional principles.

关 键 词：动力学普遍方程 中心方程 运动方程 积分变分原理 

分 类 号：O31[理学—一般力学与力学基础]