Dynamic stability of an axially accelerating viscoelastic beam

被引：77
|
作者：
Chen, LQ [1 ]
Yang, XD
Cheng, CJ
机构：
[1] Shanghai Univ, Dept Mech, Shanghai 200436, Peoples R China
[2] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China
来源：
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS | 2004年 / 23卷 / 04期
基金：
中国国家自然科学基金;
关键词：
axially accelerating beam; viscoelasticity; method of averaging;
D O I：
10.1016/j.euromechsol.2004.01.002
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
This work investigates dynamic stability in transverse parametric vibration of an axially accelerating viscoelastic tensioned beam. The material of the beam is described by the Kelvin model. The axial speed is characterized as a simple harmonic variation about the constant mean speed. The Galerkin method is applied to discretize the governing equation into a infinite set of ordinary-differential equations under the fixed-fixed boundary conditions. The method of averaging is employ to analyze the dynamic stability of the 2-term truncated system. The stability conditions are presented and confirmed by numerical simulations in the case of subharmonic and combination resonance. Numerical examples demonstrate the effects of the dynamic viscosity, the mean axial speed and the tension on the stability conditions. (C) 2004 Elsevier SAS. All rights reserved.
引用
收藏
页码：659 / 666
页数：8
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