Vibration Analysis of a Cracked Rotating Tapered Cantilever Beam Using Differential Transform Method

This paper studies the vibration characteristics of a cracked rotating tapered cantilever Euler–Bernoulli beam with linearly varying transverse cross-section using Differential Transform Method (DTM). The effects of the crack location, crack size, rotating speed and hub radius in calculating the natural frequencies and mode shapes of cracked tapered beam by using this method are investigated. Numerical results for a beam with and without crack with variable cross-section are obtained and compared with other methods. It is seen that the accuracy of the differential transform method for the vibration analysis of the beams with variable cross-section is higher than other methods, especially for the case of high rotational speed.