Primary parametric resonance of thin rectangular plate on nonlinear elastic foundation

被引：0

作者：

Yang Zhi-an ^{[1
,2
]}

Zhao Xue-juan ^{[2
]}

Xi Xiao-yan ^{[2
]}

机构：

[1] Tianjin Univ, Sch Mech Engn, Tianjin 300072, Peoples R China

[2] Tangshan Coll, Key Lab Struct & Vibrat Engn Tangshan, Tangshan 063000, Peoples R China

来源：

ROCK AND SOIL MECHANICS | 2005年 / 26卷 / 12期

关键词：

nonlinear elastic foundation; Galerkin's method; the method of multiple scales; thin rectangular plate; primary parametric resonance;

D O I：

暂无

中图分类号：

P5 [地质学];

学科分类号：

0709 ; 081803 ;

摘要：

Primary parametric resonance of a parametrically excited simply supported thin rectangular plate on nonlinear elastic foundation is analyzed. The nonlinear vibration equation that has the form of a Mathieu-Duffing's equation is derived from the Von Karman equation and Galerkin's method. The method of multiple scales is used to find the averaged equation. Numerical results are presented to illustrate the effect of various parameters including damping parameter, foundation coefficient as well as geometry parameter.

引用

页码：1921 / 1925

页数：5

共 10 条

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