非线性非完整系统Vacco动力学方程的积分方法  

The Integration Methods of Vacco Dynamics Equation of Nonlinear Nonholonomic Systems

作　　者：罗绍凯[1] 

机构地区：[1]河南商丘师专

出　　处：《应用数学和力学》1995年第11期981-989,共9页Applied Mathematics and Mechanics

基　　金：河南省自然科学基金

摘　　要：本文给出积分非线性非完整系统Ｖａｃｃｏ动力学方程的积分方法。首先，将Ｖａｃｃｏ动力学方程表示为正则形式和场方程形式：然后，分别用梯度法，单分量法和场方法积分相应完整系统的动力学方程，并加上非完整约束对初条件的限制而得到非线性非完整系统Ｖａｃｃｏ动力学方程的解．This paper presents the integration methods for Vacco dynamics equations of nonlinear nonbolonomic syste. First Vacco dynamic equations are written in the canonical form and the field form. Second,the gradient methods.the single-component methods and the field method are used to integrate the dynamics equations of the corresponding holonomic system respectively.And considering the restriction of nonholonomic constraints to the initial conditions.the solutions of Vacco dynamics equations of nonlinear nonholonomic system are obtained.

关 键 词：VACCO 动力学方程 积分方程 非完整系统 非线性 

分 类 号：O316[理学—一般力学与力学基础]