On transverse vibrations of a vertical Timoshenko beam

被引：26

作者：

Hijmissen, J. W. ^{[1
]}

van Horssen, W. T. ^{[1
]}

机构：

[1] Delft Univ Technol, Fac Elect Engn Math & Comp Sci, DIAM, NL-2628 CD Delft, Netherlands

来源：

JOURNAL OF SOUND AND VIBRATION | 2008年 / 314卷 / 1-2期

关键词：

D O I：

10.1016/j.jsv.2007.12.039

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

In this paper the transverse vibrations of a standing, uniform Timoshenko beam will be considered. Due to gravity and the self-weight of the beam a linearly varying compression force is acting on the beam. It will be assumed that this compression force is small but not negligible. The transverse vibrations of the beam can be described by an initial-boundary value problem. Approximations of the solution of this problem will be constructed by using a multiple time-scales perturbation method. Also approximations of the frequencies will be obtained. Moreover, the effect of the linearly varying compression force on the magnitude of the frequencies of the oscillation modes of the beam will be discussed. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：161 / 179

页数：19

共 20 条

[1] FREE-VIBRATIONS OF GRAVITY LOADED COMPOSITE BEAMS
ABRAMOVICH, H
[J]. COMPOSITE STRUCTURES, 1993, 23 (01) : 17 - 26
[2] An asymptotic theory for a weakly nonlinear beam equation with a quadratic perturbation
Boertjens, GJ
van Horssen, WT
[J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 2000, 60 (02) : 602 - 632
[3] Vibration and stability analysis of non-uniform Timoshenko beams under axial and distributed tangential loads
Esmailzadeh, E
Ohadi, AR
[J]. JOURNAL OF SOUND AND VIBRATION, 2000, 236 (03) : 443 - 456
[4] EXACT FREQUENCY AND MODE SHAPE FORMULAS FOR STUDYING VIBRATION AND STABILITY OF TIMOSHENKO BEAM SYSTEM
FARCHALY, SH
SHEBL, MG
[J]. JOURNAL OF SOUND AND VIBRATION, 1995, 180 (02) : 205 - 227
[5] Double eigenvalues for the uniform Timoshenko beam
Geist, B
McLaughlin, JR
[J]. APPLIED MATHEMATICS LETTERS, 1997, 10 (03) : 129 - 134
[6] On aspects of damping for a vertical beam with a tuned mass damper at the top
Hijmissen, J. W.
van Horssen, W. T.
[J]. NONLINEAR DYNAMICS, 2007, 50 (1-2) : 169 - 190
[7] HIJMISSEN JW, 2005, P 5 EUROMECH NONL DY, P21
[8] Huang T.C., 1961, J APPL MECH, V28, P579
[9] Karnovsky I. A., 2004, FORMULAS STRUCTURAL
[10] ON THE DERIVATION OF EQUATIONS OF MOTION FOR A VIBRATING TIMOSHENKO COLUMN
KOUNADIS, AN
[J]. JOURNAL OF SOUND AND VIBRATION, 1980, 73 (02) : 177 - 184

← 1 2 →