Dynamic Response of Multi-cracked Beams Resting on Elastic Foundation

Cracks cause to change dynamic response of beams and make discontinuity in slope of the deflection of the beams. The dynamic analysis of the Euler-Bernoulli cracked beam on the elastic foundation subjected to the concentrated load is presented in this paper. The stiffness of the elastic foundation and elastic supports influence on vibrational characteristics of the cracked beam. The Dynamic Green Function is applied to solve the governing equation. Thus, the dynamic response of the cracked beam is determined by Laplace Transform method. The effects of depth and location of the crack on natural frequency and deflection of the cracked beam on an elastic foundation are evaluated. In order to demonstrate the capability of the present approach, several numerical examples are worked out and the results are discussed.