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Closed-Form Solution of a Peripherally Fixed Circular Membrane under Uniformly Distributed Transverse Loads and Deflection Restrictions

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  • Teng-fei Wang
  • Xiao-ting He
  • Yang-hui Li

Abstract

The problem of axisymmetric deformation of a peripherally fixed and uniformly loaded circular membrane under deflection restrictions (by a frictionless horizontal rigid plate) was analytically solved, where the assumption of constant membrane stress adopted in the existing work was given up, and a closed-form solution of this problem was presented for the first time. The numerical analysis shows that the closed-form solution presented here has higher calculation accuracy than the existing approximate solution.

Suggested Citation

  • Teng-fei Wang & Xiao-ting He & Yang-hui Li, 2018. "Closed-Form Solution of a Peripherally Fixed Circular Membrane under Uniformly Distributed Transverse Loads and Deflection Restrictions," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-9, May.
    • Handle: RePEc:hin:jnlmpe:5989010
    DOI: 10.1155/2018/5989010
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    Cited by:

    1. Dong Mei & Jun-Yi Sun & Zhi-Hang Zhao & Xiao-Ting He, 2020. "A Closed-Form Solution for the Boundary Value Problem of Gas Pressurized Circular Membranes in Contact with Frictionless Rigid Plates," Mathematics, MDPI, vol. 8(6), pages 1-16, June.
    2. Fei-Yan Li & Xue Li & Qi Zhang & Xiao-Ting He & Jun-Yi Sun, 2022. "A Refined Closed-Form Solution for Laterally Loaded Circular Membranes in Frictionless Contact with Rigid Flat Plates: Simultaneous Improvement of Out-of-Plane Equilibrium Equation and Geometric Equat," Mathematics, MDPI, vol. 10(16), pages 1-32, August.

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