Vibration Analysis of a Cracked Rotating Cantilever Beam by Differential Transform Method

This paper studies the vibration characteristics of cracked rotating uniform beam frequencies. The effects of crack location, crack size, rotating speed and hub radius on vibration characteristics of a cracked uniform beam are investigated. Numerical results stimulated for different taper ratios, non-dimensional angular velocities and nondimensional hub radius. The effects of the non-dimensional angular velocity and non-dimensional hub radius are discussed. The accuracy is assured from the convergence of the natural frequencies and from the comparisons made with the studies in the open literature. It is shown that the natural frequencies of a cracked rotating uniform Bernoulli–Euler beam can be obtained with high accuracy by Differential transform method (DTM).

Keywords:

Euler-Bernoulli Beam , Differential transformmethod , Rotating beam , Crack , Natural frequency