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解Vacco动力学方程的常数变易法
引用本文:乔永芬,赵淑红.解Vacco动力学方程的常数变易法[J].商丘师范学院学报,2000,16(2):24-27.
作者姓名:乔永芬  赵淑红
作者单位:东北农业大学农工系,哈尔滨,150030
基金项目:黑龙江省自然科学基金资助项目(199507)
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.这种方法揭示了非完整系统和完整系统的解之间的内在联系.

关 键 词:非完整约束  常数变易法  Vacco动力学方程
文章编号:1008-2662(2000)02-0024-04
修稿时间:1999年10月16

The method of variation of parameters for salving the Vacco dynamical equations
Qiao Yong-Fen,Zhao Shu-Hong.The method of variation of parameters for salving the Vacco dynamical equations[J].Journal of Shangqiu Teachers College,2000,16(2):24-27.
Authors:Qiao Yong-Fen  Zhao Shu-Hong
Abstract: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.
Keywords:nonholonomic constraint  methods of variation of parameters  Vacco dynamical equation
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