Free Vibration Analysis of Cracked Euler-Bernoulli Beam by Laplace Transformation Considering Stiffness Reduction
Main Article Content
This work investigates the free vibration of a cracked Euler-Bernoulli beam. The governing equation of motion is formulated by using the stiffness reduction factor and the generalized function to consider the degree of stiffness loss and the location of the crack, respectively. By implementing the centered finite difference method, the singularity problem of the curvature at the cracked cross-section is addressed. The effect of crack location and stiffness reduction factor on the frequencies and the modal shapes is investigated. The proposed method is simple and practical for analyzing the cracked beam.
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