解Vacco动力学方程的常数变易法  

The method of variation of parameters for salving the Vacco dynamical equations

作　　者：乔永芬[1] 赵淑红[1] 

机构地区：[1]东北农业大学农工系,哈尔滨150030

出　　处：《商丘师专学报》2000年第2期24-27,共4页

基　　金：黑龙江省自然科学基金资助项目!1995 0 7

摘　　要：:给出解Vacco动力学方程的常数变易法 .第一步 ,建立辅助方程 ;第二步 ,用通常的积分法解辅助方程 ;第三步 ,变易常数 ;最后 ,考虑非完整约束对初始条件的限制而得到Vacco动力学方程的解 .In this paper,the methods of variation of parameters for salving the Vacco dynamical equations are given.Firstly,the auxiliary equations are established.Secondly,the ordinary integration methods are used to salving the auxiliary equations.Thirdly,the parameters are varied.Finally,considering the restriction of nonholonomic constraints to the initial conditions,the solutions of Vacco dynamical equations are obtained.Internal relations between the solutions of nonholonomic and the solutions of holonomic systems are uncovered by the method.

关 键 词：非完整约束 常数变易法 VACCO动力学方程 

分 类 号：O316[理学—一般力学与力学基础]