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Free Vibration Analysis of Rectangular Orthotropic Membranes in Large Deflection

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  • Zheng Zhou-Lian
  • Liu Chang-Jiang
  • He Xiao-Ting
  • Chen Shan-Lin

Abstract

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.

Suggested Citation

  • Zheng Zhou-Lian & Liu Chang-Jiang & He Xiao-Ting & Chen Shan-Lin, 2009. "Free Vibration Analysis of Rectangular Orthotropic Membranes in Large Deflection," Mathematical Problems in Engineering, Hindawi, vol. 2009, pages 1-9, April.
    • Handle: RePEc:hin:jnlmpe:634362
    DOI: 10.1155/2009/634362
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    Cited by:

    1. Zhe-Feng Shu & Yue Ma & Anqi Zhang & Ping Liu, 2022. "The Research on the Damping of Prestressed Membrane Structure Subjected to the Impact Load," Sustainability, MDPI, vol. 14(10), pages 1-14, May.

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