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Title of Journal: Nonlinear Dyn

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Abbravation: Nonlinear Dynamics

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Springer Netherlands

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DOI

10.1002/cbin.10171

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1573-269X

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Nonlinear vibrations of a flexible membrane under

Authors: Xu Sun Jiazhong Zhang
Publish Date: 2016/06/04
Volume: 85, Issue: 4, Pages: 2467-2486
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Abstract

A finite element solution procedure is proposed and the nonlinear vibrations of a flexible membrane under periodic load are investigated numerically First a simplified model is proposed for the flowinduced vibration of a membrane wing at higher angles of attack and the corresponding governing equation is derived briefly Then a solution procedure based on the Galerkin finite element method Generalizedupalpha method and Newton–Raphson method is developed to solve the governing equation and its accuracy and stability are examined by a steady problem with exact solution Finally using the numerical method proposed the forced vibration of a flexible membrane under periodic load is simulated and the effects of the membrane density elastic modulus and prestrain are investigated in detail In addition the change in the vibration state along the membrane is also analysed to examine whether the centre point can reflect correctly the vibration state of the whole structureThis work is supported by Science Foundation of China University of Petroleum Beijing No 2462014YJRC007 National Natural Science Foundation of China No 51506224 and National Key Basic Research Program of China 973 Program No 2012CB026002 The author would like to thank for the kindly support of these foundations

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