Free Vibration Analysis of Rectangular Orthotropic Membranes in Large Deflection

Mathematical Problems in Engineering. 2009;2009 DOI 10.1155/2009/634362

 

Journal Homepage

Journal Title: Mathematical Problems in Engineering

ISSN: 1024-123X (Print); 1563-5147 (Online)

Publisher: Hindawi Publishing Corporation

LCC Subject Category: Technology: Engineering (General). Civil engineering (General) | Science: Mathematics

Country of publisher: Egypt

Language of fulltext: English

Full-text formats available: PDF, HTML, ePUB, XML

 

AUTHORS

Zheng Zhou-Lian (Department of Civil Engineering, Chongqing University, Chongqing 400045, China)
Liu Chang-Jiang (Department of Civil Engineering, Chongqing University, Chongqing 400045, China)
He Xiao-Ting (Department of Civil Engineering, Chongqing University, Chongqing 400045, China)
Chen Shan-Lin (Department of Civil Engineering, Chongqing University, Chongqing 400045, China)

EDITORIAL INFORMATION

Blind peer review

Editorial Board

Instructions for authors

Time From Submission to Publication: 26 weeks

 

Abstract | Full Text

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.