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论文类型：期刊论文

发表时间：2017-11-01

发表刊物：EUROPEAN JOURNAL OF MECHANICS A-SOLIDS

收录刊物：Scopus、SCIE、EI

卷号：66

页面范围：103-113

ISSN号：0997-7538

关键字：Thin plate; Point support; Free corner; Analytic solution

摘要：In this paper, we obtain accurate analytic bending solutions of rectangular thin plates with a corner point-supported, its adjacent corner free and their opposite edge clamped or simply supported. This type of problem, characterized by having both free and point-supported corners, is hard to solve by classical analytic approaches. The present study is based on an up-to-date rational superposition method in the symplectic space. The Hamiltonian system-based governing equation is first constructed. The eigenvalue problems of three fundamental bending problems are formed for a plate with a corner point-supported and its adjacent corner free. By symplectic eigen expansion, the analytic solutions of the subproblems are obtained. Superposition of these solutions is equal to that of the original problem. The developed method yields the solutions with satisfactory accuracy by rigorous derivation, without assuming any trial solutions; thus, it has potential for more complex boundary value problems of high-order partial differential equations describing plates' mechanical behavior. (C) 2017 Elsevier Masson SAS. All rights reserved.