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三维柔性多体梁系统非线性动力响应分析
引用本文:吴国荣,钟伟芳,梁以德.三维柔性多体梁系统非线性动力响应分析[J].振动与冲击,2006,25(1):24-27.
作者姓名:吴国荣  钟伟芳  梁以德
作者单位:1. 福建工程学院土木系,福州,350007
2. 华中科技大学力学系,武汉,430074
摘    要:研究了三维柔性多体梁系统的非线性动力响应问题。将空间柔性梁的变形分解为轴向变形以及在x-y平面的弯曲变形和在x-z平面的弯曲变形,引用各自的精确振动模态描述变形场,利用拉格朗日乘子法建立起柔性多体梁系统约束非线性动力学方程。结合Newmark直接积分法和Newton-Raphson迭代法,导出了求解该非线性代数一微分方程组的数值方法。仿真算例证明了该方法的正确性和有效性。

关 键 词:多体系统  三维柔性梁  非线性  动力响应
收稿时间:01 9 2005 12:00AM
修稿时间:2005年1月9日

NONLINEAR DYNAMIC ANALYSIS OF 3D FLEXIBLE MULTIBODY SYSTEMS
Wu Guorong,A.Y.T.Leung,Zhong Weifang.NONLINEAR DYNAMIC ANALYSIS OF 3D FLEXIBLE MULTIBODY SYSTEMS[J].Journal of Vibration and Shock,2006,25(1):24-27.
Authors:Wu Guorong  AYTLeung  Zhong Weifang
Abstract:The nonlinear dynamic problems of three dimensional flexible multibody systems are investigated.The(elastic) deformation of flexible spacial beams are decomposed into axial deformation and bending deformation,and(described) by exact vibration modes in each local coordinate systems.The constraint nonlinear dynamic equations are(derived) by using Lagrange multiplier method.A numerical procedure for solving the resulting differential algebraic(equations) is presented based on Newmark direct integration combined with Newton-Raphson iteration.Numerical results show the effectiveness of the proposed method.
Keywords:multibody system  space flexible beam  nonlinear  dynamic response
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