Abstract
In this paper, problems of buckling of an annular thin plate under the action of in-plane pressure and transverse load are studied by using the method of multiple scales. We obtain N-order uniformly valid asymptotic expansion of the solution. In the latter part of this paper we discuss a particular example, and calculate the critical value of in-plane pressure. We see that the asymptotic expansion obtained by the multiple scales is completely consistent with that of the exact solution.
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communicated by Jiang Fu-ru.
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Sheng-li, Q., Ai-shu, Z. On the problems of buckling of an annular thin plate. Appl Math Mech 6, 169–183 (1985). https://doi.org/10.1007/BF01874955
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DOI: https://doi.org/10.1007/BF01874955