Large amplitude vibration and parametric instability of inextensional beams on the elastic foundation

被引：24

作者：

Wang, Lianhua ^{[1
,2
]}

Ma, Jianjun ^{[1
]}

Peng, Jian ^{[1
]}

Li, Lifeng ^{[1
]}

机构：

[1] Hunan Univ, Coll Civil Engn, Changsha 410082, Hunan, Peoples R China

[2] Minist Educ, Key Lab Bldg Safety & Energy Efficiency, Changsha 410082, Hunan, Peoples R China

来源：

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES | 2013年 / 67卷

基金：

美国国家科学基金会;

关键词：

Inextensional beam; Elastic foundation; Parametric instability; Large amplitude vibration; Modal contribution ratio; VISCOELASTIC FOUNDATION; DYNAMIC-RESPONSE; COLUMNS; LOADS;

D O I：

10.1016/j.ijmecsci.2012.12.002

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The nonlinear vibration and parametric instability of the inextensional beam on the elastic foundation are investigated. Considering the inextensional condition and second-order moment of the subgrade reaction, the motion equation of the beam on the elastic foundation is obtained via the Hamilton principle. Then the Galerkin method is applied to obtain the discretized model. The periodic motion is examined by means of the continuation method. Whereas, the numerical simulation is performed to study the nonperiodic motion, particular attention is placed on the nonlinear response of two resonant beams and the parametric instability. Finally, the effects of the boundary conditions and foundation models on the nonlinear vibration of the beams are discussed. Crown Copyright (C) 2012 Published by Elsevier Ltd. All rights reserved.

引用

页码：1 / 9

页数：9

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