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Titolo:
Approximate calculation of the fundamental frequency for bending vibrations of cracked beams
Autore:
Fernandez-Saez, J; Rubio, L; Navarro, C;
Indirizzi:
Univ Carlos III Madrid, Dept Mech Engn, Madrid 28911, Spain Univ Carlos III Madrid Madrid Spain 28911 Mech Engn, Madrid 28911, Spain
Titolo Testata:
JOURNAL OF SOUND AND VIBRATION
fascicolo: 2, volume: 225, anno: 1999,
pagine: 345 - 352
SICI:
0022-460X(19990812)225:2<345:ACOTFF>2.0.ZU;2-W
Fonte:
ISI
Lingua:
ENG
Soggetto:
STRESS INTENSITY FACTOR; BERNOULLI-EULER BEAMS; SIMPLE FORMULA; IDENTIFICATION; LOCATION; SPECIMEN;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Engineering, Computing & Technology
Citazioni:
16
Recensione:
Indirizzi per estratti:
Indirizzo: Fernandez-Saez, J Univ Carlos III Madrid, Dept Mech Engn, C Avda Univ 30, Madrid 28911, Spain Univ Carlos III Madrid C Avda Univ 30 Madrid Spain 28911
Citazione:
J. Fernandez-Saez et al., "Approximate calculation of the fundamental frequency for bending vibrations of cracked beams", J SOUND VIB, 225(2), 1999, pp. 345-352

Abstract

A simplified method of evaluating the fundamental frequency for the bending vibrations of cracked Euler-Bernouilli beams is presented. The method is based on the well-known approach of representing the crack in a beam through a hinge and an elastic spring, but here the transverse deflection of the cracked beam is constructed by adding polynomial functions to that of the uncracked beam. With this new admissible function, which satisfies the boundary and the kinematic conditions, and by using the Rayleigh method, the fundamental frequency is obtained. This approach is applied to simply supported beams with a cracked section in any location of the span. For this case, the method provides closed-form expressions for the fundamental frequency. Its validity is confirmed by comparison with numerical simulation results. (C) 1999 Academic Press.

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Documento generato il 06/04/20 alle ore 07:38:52