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| A Modeling and Computing Method of Shock Response for Plane Multi-rigid-flexible-body Systems |
He Shaohua;Wu Xinyue
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| Naval University of Engineering, Department of Mechanical Engineering, Wuhan, China, 430033 |
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Abstract A new method was proposed for shock response modeling and computing of planar multi-rigid-flexible body systems by integrating transfer matrix method with its flexibility and high computational efficiency. Adopting Newmark-β algorithm to linearizing high order terms in dynamic equations and modes to express flexible body deformation, extended transfer matrixes of general rigid-body and special rigid bodies (rigid homogeneous rectangular plate, rectangular sheet plate with elastic support), general flexible-body and special flexible bodies (Euler-Bernouni beam) in systems under base-transferred shock were established. The shock excitations include both translational and rotational components. Numerical iterative algorithm program based on Newmark-β was also given. With an engineering example, the accuracy of this proposed method was verified by a comparison with the finite element method. The results also show that rotational component of shock excitations’ contribution to the overall response can not be ignored. Although this study is objected planar multi-rigid-flexible system, it can easily be extended to three-dimensional case.
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Received: 22 March 2010
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2011, Vol. 30 
