Natural frequencies and modes of a Timoshenko beam

被引：87
|
作者：
van Rensburg, N. F. J.
van der Merwe, A. J.
机构：
[1] Cape Peninsula Univ Technol, Dept Mech Engn, ZA-8000 Cape Town, South Africa
[2] Univ Pretoria, Dept Math & Appl Math, ZA-0002 Pretoria, South Africa
来源：
WAVE MOTION | 2006年 / 44卷 / 01期
关键词：
Timoshenko beam; Euler-Bernoulli beam; natural frequencies; eigenvalues;
D O I：
10.1016/j.wavemoti.2006.06.008
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
In this paper, we present a systematic approach to solving the eigenvalue problems associated with the uniform Timoshenko beam model. Properties of the natural frequencies and modes are discussed for the pinned-pinned and cantilever beam, e.g., double eigenvalues, estimates for small and large eigenvalues, significance of dimensionless parameters and remarkable mode shapes. Our results expand on and complement existing results. (C) 2006 Elsevier B.V. All rights reserved.
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页码：58 / 69
页数：12
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