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Large deflection problem of a clamped elliptical plate subjected to uniform pressure

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Abstract

In this paper, the perturbation solution of large deflection problem of clamped elliptical plate subjected to uniform pressure is given on the basis of the perturbation solution of large deflection problem of similar clamped circular plate (1948)[1], (1954)[2]. The analytical solution of this problem was obtained in 1957. However, due to social difficulties, these results have never been published. Nash and Cooley (1959)[3] published a brief note of similar nature, in which only the case λ=a/b=2 is given. In this paper, the analytical solution is given in detail up to the 2nd approximation. The numerical solutions are given for various Poisson ratios ν=0.25, 0.30, 0.35 and for various eccentricities λ=1, 2, 3, 4, 5, which can be used in the calculation of engineering designs.

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References

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Authors and Affiliations

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University of Technology, Shanghai

    Chien Wei-zang, Pan Li-zhou & Liu Xiao-ming

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  1. Chien Wei-zang
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  2. Pan Li-zhou
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  3. Liu Xiao-ming
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Wei-zang, C., Li-zhou, P. & Xiao-ming, L. Large deflection problem of a clamped elliptical plate subjected to uniform pressure. Appl Math Mech 13, 891–908 (1992). https://doi.org/10.1007/BF02453332

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  • DOI: https://doi.org/10.1007/BF02453332

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