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论文类型：期刊论文

发表时间：2015-06-01

发表刊物：INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES

收录刊物：SCIE、EI、Scopus

卷号：96-97

页面范围：199-205

ISSN号：0020-7403

关键字：Analytic solution; Free vibration; Rectangular thin plate; Point support

摘要：In a recently published study, we reported the benchmark bending solutions of rectangular thin plates point-supported at a corner by an up-to-date symplectic superposition method. In this paper, for the first time, we extend the approach to the free vibration problems of the same plates and obtain the analytic solutions which cannot be obtained by the conventional symplectic approach. More than three hundred frequencies and the representative mode shapes are presented as the benchmarks for verification of various new approaches developed in future. (C) 2015 Elsevier Ltd. All rights reserved.