Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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The nonlinear circular membrane under a vertical force


Author: R. W. Dickey
Journal: Quart. Appl. Math. 41 (1983), 331-338
MSC: Primary 73K15
DOI: https://doi.org/10.1090/qam/721423
MathSciNet review: 721423
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Abstract: The exact theory for the deformation of a plane circular membrane under a vertical force is derived. It is shown that the system of equations can be reduced to a single, nonlinear, ordinary differential equation. In addition it is shown that the Foppl approximation is the first term in an asymptotic expansion of the exact theory.


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DOI: https://doi.org/10.1090/qam/721423
Article copyright: © Copyright 1983 American Mathematical Society


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