关于环形薄板的屈曲问题
On the Problems of Buckling of an Annular Thin Plate
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摘要: 本文利用多重尺度法研究环形薄板在中面压力和横向负荷联合作用下的屈曲问题,得到了解的N阶一致有效渐近展开式.通过实例考察,我们看到用多重尺度法所得的渐近展开式与精确解的渐近展开是完全一致的.Abstract: In this paper, problems of buckling of on annular thin plate under the action of in-plane pressure and transverse lood 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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