NATURAL FREQUENCY CHANGES OF A CRACKED TIMOSHENKO BEAM BY MODIFIED FOURIER SERIES

A new method is presented in this paper for computing the natural frequencies of a Timoshenko beam with an arbitrary number of transverse open cracks. The essence of this new method lies in the use of a kind of modified Fourier series (MFS) which is developed particularly for a Timoshenko beam havin...

Full description

Saved in:
Bibliographic Details
Published in:Journal of sound and vibration 2001-09, Vol.246 (2), p.297-317
Main Authors: ZHENG, D.Y., FAN, S.C.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Structural and continuum mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
Vibrations and mechanical waves
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A new method is presented in this paper for computing the natural frequencies of a Timoshenko beam with an arbitrary number of transverse open cracks. The essence of this new method lies in the use of a kind of modified Fourier series (MFS) which is developed particularly for a Timoshenko beam having an arbitrary number of transverse open cracks. Unlike the conventional Fourier series, the modified Fourier series can approach a function with internal geometrical discontinuities. Based on the modified Fourier series, one can treat the cracked Timoshenko beam in the usual way and thus reduces the problem to a simple one. By using the present method, only standard linear eigenvalue equations, rather than non-linear algebraic equations, need to be solved. All the formulae are expressed in matrix form that renders the task of computer coding quite straightforward.
ISSN:0022-460X
1095-8568
DOI:10.1006/jsvi.2001.3632