Perturbatıon Solution for a Cracked Euler-Bernoulli Beam

Authors : Lütfi Emir SAKMAN

Pages : 1233-1243

Doi:10.16984/saufenbilder.1170458

View : 20 | Download : 9

Publication Date : 2022-12-31

Article Type : Research Paper

Abstract :The natural frequencies and mode shapes of an Euler-Bernoulli beam with a rectangular cross- section, which has a surface crack, is investigated. The crack is modeled as a change insert ignore into journalissuearticles values(sudden or gradual); in the cross-section of the beam, and a modified perturbation approach is used assuming that the crack geometry is much smaller than the beam cross section. Computations of natural frequencies and mode shapes were carried out for various crack shapes and compared with a range of experiments and finite element analyses. It is concluded that the suggested modified perturbation approach gives reliable results with minimal effort for eigenfrequencies of cracked beams. Furthermore, as a new feature, the present perturbation method includes the shape of the crack in eigenfrequency computations and in principle, can work for any type of disturbance on the surface including a small bump for example.
Keywords : Perturbation, Surface Crack, Euler Bernoulli Beam