期刊
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
卷 87, 期 -, 页码 111-121出版社
ELSEVIER SCI LTD
DOI: 10.1016/j.enganabound.2017.11.010
关键词
Boundary element method; Radial integration method; Buckling analysis under arbitrary loading; Thin plates
In this paper, a boundary element method is applied to buckling analysis of thin plates with arbitrary shapes under various load types. The governing differential equation is converted into equivalent integral equation using the static fundamental solutions of the biharmonic equation. The arising domain integrals due to in-plane stresses are evaluated applying the radial integration method. The in-plane stresses are implemented through Gaussian integration points along radial direction in the convex domains. For the concave domains, an idea has been introduced to compute radial integration along new direction from an auxiliary point to the field point. This method can be easily applied to buckling analysis of thin plates with arbitrarily distributed and concentrated edge loading. Six sample problems are presented to illustrate the effectiveness and accuracy of the proposed method. (C) 2017 Elsevier Ltd. All rights reserved.
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