Free Vibration Analysis of Rectangular Orthotropic Membranes in Large Deflection | Zendy

Zhoulian Zheng | Zendy; Changjiang Liu | Zendy; XiaoTing He | Zendy

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Free Vibration Analysis of Rectangular Orthotropic Membranes in Large Deflection

Author(s) -

Zhoulian Zheng,

Changjiang Liu,

XiaoTing He

Publication year - 2009

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2009/634362

Subject(s) - orthotropic material , vibration , deflection (physics) , membrane , nonlinear system , structural engineering , foundation (evidence) , materials science , engineering , mathematics , acoustics , physics , classical mechanics , finite element method , chemistry , biochemistry , archaeology , quantum mechanics , history

This paper reviewed the research on the vibration of orthotropic membrane, which commonly applied in the membrane structural engineering. We applied the large deflection theory of membrane to derive the governing vibration equations of orthotropic membrane, solved it, and obtained the power series formula of nonlinear vibration frequency of rectangular membrane with four edges fixed. The paper gave the computational example and compared the two results from the large deflection theory and the small one, respectively. Results obtained from this paper provide some theoretical foundation for the measurement of pretension by frequency method; meanwhile, the results provide some theoretical foundation for the research of nonlinear vibration of membrane structures and the response solving of membrane structures under dynamic loads

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