变质量非线性非完整系统相对运动动力学方程的积分方法  

Integration Method for the Dynamics Equation of Relative Motion of Variable Mass Nonlinear Nonholonomic System

作　　者：陈向炜[1] 罗绍凯[1] 

机构地区：[1]商丘师专物理系

出　　处：《应用数学和力学》1998年第5期447-455,共9页Applied Mathematics and Mechanics

基　　金：河南省自然科学基金

摘　　要：本文给出积分变质量非线性非完整系统相对于非惯性系动力学方程的梯度法，单分量法和场方法·首先，将这类问题的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常质量完整系统相对于惯性系的动力学方程。In this paper,the integration methods of dynamics equations of relative motion of variable mass nonlinear nonholonomic system, such as the gradient method,the single_component method and the field method, are given.Firstly,the dynamics equations are written in the canonical form and the field form.Secondly,the gradient method,the single_component method and the field method are used to integrate the dynamics equations of the corresponding constant mass holonomic system in inertial reference frame respectively.With the restriction of nonholonomic constraints to the initial conditions being considered,the solutions of the dynamics equations of variable mass nonlinear nonholonmic system in noninertial reference frame are obtained.

关 键 词：分析力学 非完整系统 非线性系统 动力学方程 

分 类 号：O316[理学—一般力学与力学基础]