Infinite mode analysis and truncation to resonant modes of axially accelerated beam vibrations

被引：99
作者：
Pakdemirli, M. [1 ]
Oz, H. R. [2 ]
机构：
[1] Celal Bayar Univ, Dept Mech Engn, TR-45140 Muradiye, Turkey
[2] Fatih Univ, Dept Genet & Bioengn, TR-34500 Istanbul, Turkey
来源：
JOURNAL OF SOUND AND VIBRATION | 2008年 / 311卷 / 3-5期
关键词：
D O I：
10.1016/j.jsv.2007.10.003
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
The transverse vibrations of simply supported axially moving Euler-Bernoulli beams are investigated. The beam has a time-varying axial velocity with viscous damping. Traveling beam eigenfunctions with infinite number of modes are considered. Approximate analytical solutions are sought using the method of Multiple Scales, a perturbation technique. A detailed analysis of the resonances in which upto four modes of vibration involved are performed. Stability analysis is treated for each type of resonance. Approximate stability borders are given for the resonances involving only two modes. For higher number of modes involved in a resonance, sample numerical examples are presented for stabilities. (c) 2007 Elsevier Ltd. All rights reserved.
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页码：1052 / 1074
页数：23
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