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.

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

  • Received Date: 1996-05-17
  • Publish Date: 1998-05-15
  • 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.
  • loading
  • [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.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2301) PDF downloads(796) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return