Free vibration analysis of a cracked elastically supported beam Online publication date: Mon, 09-Sep-2019
by Mahieddine Chettah; Rachid Lassoued
International Journal of Vehicle Noise and Vibration (IJVNV), Vol. 15, No. 1, 2019
Abstract: In this paper, closed-form expressions based on the Rayleigh's method is studied theoretically to evaluate the first two mode shapes and fundamental frequencies of a cracked elastically supported beam. Such a problem has not been very well investigated in the literature. The Euler-Bernoulli beam theory is employed to model the cracked beam and the crack is represented as a rotational spring. Some numerical examples are given to illustrate the proposed method and to present the effect of cracks on the natural frequencies and mode shapes of this cracked system. The results are compared with analytical, numerical and previous experimental studies. It is found that the present method is simpler in application, decreases the time and cost of computations, and shows a good promise for further development as a practical method to minimise the difference between measured and calculated results; also it can be an alternative solution in the case of crack identification for elastically supported beams.
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Vehicle Noise and Vibration (IJVNV):
Login with your Inderscience username and password:
Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.
If you still need assistance, please email subs@inderscience.com
Our Blog 
Follow us on Twitter 
Visit us on Facebook