Eigenfrequencies and modified eigenmodes of a rectangular plate with free edges

被引：0
|
作者：
Bosakov, S. V.
机构：
来源：
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS | 2009年 / 73卷 / 06期
关键词：
D O I：
10.1016/j.jappmathmech.2010.01.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A solution of the problem of the oscillations of a rectangular plate with free edges, which enables exact values of the eigenfrequencies and approximate eigenmodes to be obtained, is given. The use of the results obtained to design plates on an elastic foundation is proposed. The calculation is carried out by the Ritz method in which the eigenmodes of the plate obtained are taken as the coordinate functions, which considerably speeds up the process of obtaining a solution compared with existing approaches. (C) 2010 Elsevier Ltd. All rights reserved.
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页码：688 / 691
页数：4
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