On the Dynamics of an Arbitrary Flexible Body with Large Overall Motion: An Integrated Approach
On the Dynamics of an Arbitrary Flexible Body with Large Overall Motion: An Integrated Approach
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DOI：
10.1080/08905459508905245
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发表时间：
1995
期刊：
影响因子：
--
通讯作者：
D. Zhang;C. Q. Liu;R. Huston
中科院分区：
文献类型：
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作者：
D. Zhang;C. Q. Liu;R. Huston
提出了一种研究大运动任意形状物体柔性效应的方法。该程序通过分析自动纳入所谓的“动刚度”效应，是结构动力学和多体动力学技术的综合。采用非线性应变-位移关系得到了一组一致的控制方程，这些控制方程在离点的位移为线性；未变形的状态。控制方程本身是从凯恩方程发展而来的，使用了部分速度矢量和部分角速度矢量。给出了控制方程的系数和项的显式表达式。通过旋转梁和旋转板两个算例验证了该方法的正确性。
Abstract This paper presents a procedure for studying flexibility effects of arbitrarily shaped bodies having large overall motion. The procedure automatically incorporates the so-called “dynamic stiffness” effects through its analysis, which is an integration of the techniques of structural dynamics and multibody dynamics. Nonlinear strain-displacement relations are used to obtain a consistent set of governing equations, which are linear in their displacements away from the; undeformed state. The governing equations themselves are developed from Kane's equations, using partialvelocity vectors and partial angular velocity vectors. Explicit expressions for the coefficients and terms of the governing equations are presented. The procedure is checked with two examples, a rotating beam and a rotating plate, whose solutions are reasonably well established.