単純支持された対称積層板の座屈荷重に対する感度解析

概要

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In this paper, we describe the sensitivity analysis of buckling load of the simply supported symmetric laminated plate with respect to the material constants and the orientation angle of each ply. The objective is to clarify the dominant factor for the buckling load. Since the buckling load is obtained as the minimum eigenvalue by Galerkin's method, the sensitivity of the buckling load is formulated by making use of the sensitivity analysis of the eigenvalue problem. When the buckling load corresponds to a multimodal eigenvalue, the sensitivity should be obtained by another method which utilizes the directional derivatives. However, in the typical case of a double eigenvalue for the laminated plate, it is shown that such a method is not required. Finally, the dominant effect on the buckling load sensitivity is evaluated through numerical simulations. Then, it is demonstrated that the coupling term plays an important role in buckling sensitivity.
一般社団法人日本機械学会の論文
1996-03-25