## 留言板

 引用本文: 陈向炜, 罗绍凯. 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[J]. 应用数学和力学, 1998, 19(5): 447-455.
Chen Xiangwei, Luo Shaokai. Integration Method for the Dynamics Equation of Relative Motion of Variable Mass Nonlinear Nonholonomic System[J]. Applied Mathematics and Mechanics, 1998, 19(5): 447-455.
 Citation: Chen Xiangwei, Luo Shaokai. Integration Method for the Dynamics Equation of Relative Motion of Variable Mass Nonlinear Nonholonomic System[J]. Applied Mathematics and Mechanics, 1998, 19(5): 447-455.

## 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

• 中图分类号: O316;O313

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

• 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。
•  [1] 刘桂林、乔永芬、张解放、梅凤翔,变质量非完整力学系统的相对运动动力学,力学学报,21(6) (1989),742-748. [2] 罗绍凯,变质量系统相对于非惯性系的高阶Gibbs-Appell方法,黄淮学刊,7(3)(1991),11-21. [3] 4 罗绍凯,变质量高阶非完整系统相对于非惯性系的B-H方程,科学通报,37(10)(1992),878-880. [4] 5 R.Van Dooren,Generalized methods for nonholonomic systems with application in various fields of class mechanics,Proc 14th TUTAM Congress,Delft,(1976),373-391. [5] 6 V.V.Rumjantsev and A.S.Sumbatov,On the problem of a generalization of Hamilton-Jacobi method for nonholonomic system,ZAMM,58(4)(1978),477-481. [6] 7 B.Vujanovic,On a gradient method in nonconservative mechanics system,Acta Mechanica,34(2) (1979),167-169. [7] 8 B.Vujanovic,On the integration of the nonconservative Hamilon dynamics equations,Int.J.Eugng.Sci.,19(12)(1981),1739-1741. [8] 9 B.Vujanovic,Afield method and its application to the theory of vibrations,Int.J.Non linear Mech.,19(4)(1984),383-396. [9] 10 梅凤翔,非完整系统力学积分方法的研究进展,力学进展,21(1)(1991),83-95. [10] Mei Fengxiang,Amethod of integration of nonholonomic nonconservative systems,Proc.ICDVC, Peking University Press,(1990),653-658. [11] Mei Fengxiang,Afield method for solving the equation of motion of nonholonomic systems,Acta Mechanica Sinica,5(3)(1989),260-268.

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##### 出版历程
• 收稿日期:  1996-05-17
• 刊出日期:  1998-05-15

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