Perturbation method in the problem of large deflections of circular plates with nonuniform thickness |
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Authors: | Yang Chia-Shih Xie Zhi-cheng |
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Institution: | (1) Qinghua University, Beijing |
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Abstract: | In this paper the perturbation method about two parameters is applied to the problem of large deflection of a cricular plate with exponentially varying thickness under uniform pressure. An asymptotic solution up to the third-order is derived. In comparison with the exact solutions in special cases, the asymptotic solution shows a precise accuracy. |
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