Free vibration analysis of thin rectangular cracked plate with four free edges on nonlinear elastic foundation

被引：0

作者：

Feng, Guanglin ^{[1
]}

Yang, Cuiping ^{[2
]}

Xiao, Yonggang ^{[2
]}

机构：

[1] Shunde Polytech, Shunde 528333, Peoples R China

[2] Changsha Univ Sci & Technol, Changsha 410076, Hunan, Peoples R China

来源：

STRUCTURAL INTEGRITY AND MATERIALS AGEING IN EXTREME CONDITIONS | 2010年

关键词：

Nonlinear elastic foundation; Thin rectangular plate; Crack; Free vibration;

D O I：

暂无

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this paper, free vibration analysis on nonlinear elastic behavior of thin rectangular plate with four free edges is investigated. Based on Hamilton variation principle, the equations of motion for the thin rectangular plate with transverse surface penetrating crack on nonlinear elastic foundation are established. In the case of four free edges, the suitable expressions of trial functions satisfied all boundary conditions and the crack's conditions for the problem were proposed. Then, the equations are solved by using Galerkin method and harmonic balance method. In the analysis of numerical computations, the effects of the crack location and depth, the structural parameters of plate and the parameters of foundation were discussed in the free vibration behaves for the cracked thin rectangular plate.

引用

页码：173 / 177

页数：5

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