Free in-plane vibration analysis of rectangular plates with arbitrary elastic boundaries

被引：54
|
作者：
Dozio, Lorenzo [1 ]
机构：
[1] Politecn Milan, Dipartimento Ingn Aerospaziale, I-20156 Milan, Italy
来源：
MECHANICS RESEARCH COMMUNICATIONS | 2010年 / 37卷 / 07期
关键词：
In plane vibration; Rectangular plates; Nonuniform elastic supports; EDGES;
D O I：
10.1016/j.mechrescom.2010.09.003
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
A Ritz method using a set of trigonometric functions is developed to obtain accurate in-plane modal properties of rectangular plates with arbitrary nonuniform elastic edge restraints Reliability of the current approach is first assured by comparison against exact and analytical-type solutions for plates with classical boundary conditions and uniform elastic boundaries For the first time to the author s knowledge the problem of free in-plane vibration of plates having triangularly and parabolically varying elastic edge supports is then considered Accurate upper-bound solutions are tabulated to provide valuable benchmark data against which the findings of other researchers can be compared in the future Effects of nonuniform elastic spring stiffness on the in-plane natural frequencies and modal shape art also presented (C) 2010 Elsevier Ltd All rights reserved
引用
收藏
页码：627 / 635
页数：9
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