A conserved quantity and the stability of axially moving nonlinear beams

被引：39

作者：

Chen, LQ ^{[1
]}

Zhao, WJ

机构：

[1] Shanghai Jiao Tong Univ, Dept Mech Engn, Shanghai 200030, Peoples R China

[2] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China

来源：

JOURNAL OF SOUND AND VIBRATION | 2005年 / 286卷 / 03期

基金：

上海市自然科学基金; 中国国家自然科学基金;

关键词：

D O I：

10.1016/j.jsv.2005.01.011

中图分类号：

O42 [声学];

学科分类号：

070206 [声学]; 082403 [水声工程];

摘要：

Free nonlinear transverse vibration is investigated for an axially moving beam modeled by an integro-partial-differential equation. Based on the equation, a conserved quantity is defined and confirmed for axially moving beams with pinned or clamped ends. The conserved quantity is applied to demonstrate the Lyapunov stability of the straight equilibrium configuration in transverse nonlinear of beam with a low axial speed. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：663 / 668

页数：6

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