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Affiliation of Author(s):航空学院

Journal:J Vib Shock

Abstract:Based on the transfer matrix method, an analytical method was proposed to conduct the modal analysis of a simply supported beam with multiple cracks under high temperature. In the modal analysis, transverse cracks were replaced by torsional springs without mass, and the local flexibility of each crack was derived. The temperature module was introduced by the change of the mechanical parameters of the structural material. Considering the axial load of the simply supported beam caused by the variation of temperature, the transfer matrix of the whole cracked beam including the temperature parameter and the number and geometric parameters of cracks was obtained. According to the boundary conditions, the natural frequencies of the simply supported steel beam with multiple cracks were calculated. The results indicate that the influence of the axial temperature load on the natural frequencies of the simply supported steel beam is rather great, and can not be ignored. The increase of the temperature can significantly decrease each order of natural frequencies of the cracked simply supported steel beam. The first order natural frequency and critical temperature of the cracked simply supported steel beam gradually decrease as the relative depth of cracks increases. © 2017, Editorial Office of Journal of Vibration and Shock. All right reserved.

ISSN No.:1000-3835

Translation or Not:no

Date of Publication:2017-11-15

Co-author:Ma, Yijiang

Correspondence Author:陈国平