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三维柔性多体梁系统非线性动力响应分析 被引量：5

NONLINEAR DYNAMIC ANALYSIS OF 3D FLEXIBLE MULTIBODY SYSTEMS
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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Newm ark直接积分法和Newton-Raphson迭代法,导出了求解该非线性代数-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。 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.
作者 吴国荣 钟伟芳 梁以德
机构地区 福建工程学院土木系 华中科技大学力学系
出处 《振动与冲击》 EI CSCD 北大核心 2006年第1期24-27,共4页 Journal of Vibration and Shock
关键词 多体系统 三维柔性梁 非线性 动力响应 multibody system,space flexible beam,nonlinear,dynamic response
分类号 O32 [理学—一般力学与力学基础] TB1 [一般工业技术]
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参考文献13

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二级参考文献9

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  • 7Kim S S, Haug E J. A recursive formulation for flexible multibody dynamics, Part Ⅰ: Open-loop systems, Comput. Meths. Appl. Mech. Engrg., 71,293-314(1988).
  • 8蒋丽忠,洪嘉振.大范围运动对弹性梁振动频率及模态的影响[J].振动与冲击,1999,18(1):12-16. 被引量：12
  • 9王建明,刘又午,洪嘉振.大范围刚体运动对柔性梁模态形函数的影响分析[J].中国机械工程,2000,11(6):640-642. 被引量：5

共引文献15

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引证文献5

二级引证文献15

振动与冲击
2006年 第1期

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