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

基金项目: 河南省自然科学基金

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

Department of Physics, Shangqiu Teachers, College, Shangqiu, Henan 476000, P.R.China

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,并加上非完整约束对初始条件的限制而得到变质量非线性非完整系统相对于非惯性系动力学方程的解。
- 分析力学 /
- 非线性非完整约束 /
- 变质量 /
- 非惯性系 /
- 梯度法
Abstract: 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.
- analytical mechanics /
- integration method /
- nonlinear nonholonomic constraint /
- variable mass system /
- noninertial reference frame

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