ON THE ANALYSIS OF LATERALLY VIBRATING SLENDER BEAMS SUBJECT TO VARIOUS COMPLICATING EFFECTS

被引:34
作者
KIM, CS
DICKINSON, SM
机构
[1] Univ of Western Ontario, London,, Ont, Can, Univ of Western Ontario, London, Ont, Can
基金
加拿大自然科学与工程研究理事会;
关键词
MATHEMATICAL TECHNIQUES - Polynomials;
D O I
10.1016/S0022-460X(88)80093-2
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
The Rayleigh-Ritz method, with orthogonally generated polynomials as admissible functions, is used to obtain a simple analysis of the free vibration problem of slender beams subject to various complicating effects. These effects are the presence of concentrated masses and/or concentrated moments of inertia, intermediate supports, axial loading and non-uniformity of cross-section; such may exist separately or in any combination. Numerical results are presented for several beams, illustrating the accuracy and versatility of the approach.
引用
收藏
页码:441 / 455
页数:15
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