Wang Yibing, Zhao Weijia, Pan Zhenkuan. A New Algorithm for Solving Differential/Algehraic Equations of Multibody System Dynamics[J]. Applied Mathematics and Mechanics, 1997, 18(9): 845-852.
Citation: Wang Yibing, Zhao Weijia, Pan Zhenkuan. A New Algorithm for Solving Differential/Algehraic Equations of Multibody System Dynamics[J]. Applied Mathematics and Mechanics, 1997, 18(9): 845-852.

A New Algorithm for Solving Differential/Algehraic Equations of Multibody System Dynamics

  • Received Date: 1996-07-18
  • Publish Date: 1997-09-15
  • The second order Euler-Lagrange equations are transformed to a set of first orderdifferentiallalgebraic equations. which are then transformed to state equations by usinglocul parameterization. The corresponding discretization method is presented. and theresults can be used to implementation of various numerical integration methods. Anumerical example is presented finally.
  • loading
  • [1]
    E.J.Haug.Computer Aided Kinemanics and Dynamics of Mechanical Systems.Vol.1:Basic Methods.Ally & Bacon.Boston-MA(1989).
    [2]
    F.A.Potra and W.C.Rheinbolt.On the numerical solution of Euler-Lagrangeequations.Mechamics of Structures & Machimes.19-1(1991).1~18.
    [3]
    J.W.Baumgarte.A new method of stabilization for holonomic constraints,J.AppliedMechanics.50(1983),869~870.
    [4]
    R.P.Singh and P.W.Likins.Singular value decomposition for constrained dynamicalsystems.J.Applied Mechanics.52(1985),943~948.
    [5]
    S.S.Kim and M.J.Vanderploeg.QR decomposition for state space representation ofconstrained mechanical dynamic systems.J.,Mech.Tran.& Auto.in Design.108(1986).168~183.
    [6]
    C.G.Liang and G.M.Lance.A differential null space method for constrained dynamicanalysis,J.,Mech.Tran.& Auto.in Design,109(1987),405~411.
    [7]
    O.P.Agrawal and S.Saigal.Dynamic analysis of multibody systems using tangentcoordinates.Computers & Structures.31.3(1989),349~355.
    [8]
    J.W.Kamman and R.L.Huston,Constrained multibody systems-An automate dapproach.Computers & Structures.18,4(1984).999~1112.
    [9]
    F.A.Potra and J.Yen,Implicit integration for Euler-Lagrange equations via tangentspace parameterization.Mechamics of Structures & Machiunes,19,1(1991),77~98.
    [10]
    洪嘉振、刘延柱,离散系统动力学计算方法,力学进展,19(2)(1989),205-210.
    [11]
    王德人,《非线性方程解法和最优化方法》,人民教育出版社,北京(1980).
    [12]
    潘振宽,柔性多体系统动力学建模理论与数值方法研究,上海交大博士学位论文(1992).
    [13]
    潘振宽、赵维加、洪嘉振、刘延柱,多体系统动力学微分/代数方程数值方法,力学进展,26(1)(1996),28-40.
  • 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 (2264) PDF downloads(612) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return