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

Teng-fei Wang, Xiao-ting He and Yang-hui Li

Mathematical Problems in Engineering, 2018, vol. 2018, 1-9

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.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:5989010

DOI: 10.1155/2018/5989010

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