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APPROXIMATE CALCULATION OF THE FUNDAMENTAL FREQUENCY FOR BENDING VIBRATIONS OF CRACKED BEAMS

✍ Scribed by J. FERNÁNDEZ-SÁEZ; L. RUBIO; C. NAVARRO

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
110 KB
Volume
225
Category
Article
ISSN
0022-460X

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✦ Synopsis

A simpli"ed 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 de#ection of the cracked beam is constructed by adding polynomial functions to that of the uncracked beam. With this new admissible function, which satis"es 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 con"rmed by comparison with numerical simulation results 1999 Academic Press

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