完整有势力学系统的高阶Lagrange方程  

Higher order Lagrange equations of holonomic potential mechanical system

作　　者：张相武[1] 

机构地区：[1]陇东学院物理系,庆阳745000

出　　处：《物理学报》2005年第10期4483-4487,共5页Acta Physica Sinica

摘　　要：首先提出力学系统高阶速度能定理,阐明了系统高阶速度能量的物理意义;然后提出力学系统有势的一般判据.在此基础上,引入高阶Lagrange函数,得出完整有势力学系统的高阶Lagrange方程,并得到系统高阶循环积分和高阶广义能量积分.First, the theorem on energy of higher order velocity of the holonomic potential mechanical system is presented with on explaining of the physical meaning of energy of higher order velocity of the system. The general criterion of potential mechanical system is then presented. On this basis, the higher order Lagrange function is introduced, the higher order Lagrange equations of holonomic potential mechanical system are derived, and the higher order cyclic integral and the integral of higher order generalized energy of the system are obtained.

关 键 词：高阶速度能定理 有势力学系统 高阶Lagrange方程 高阶Lagrange函数 LAGRANGE方程 力学系统 高阶 LAGRANGE函数 广义能量积分 物理意义 

分 类 号：O316[理学—一般力学与力学基础] V423[理学—力学]