Application of differential transformation technique to free vibration analysis of a centrifugally stiffened beam

Many practical engineering structures can be modeled as rotating beam-like structures. Such structures involve variable coefficients in the governing equations, which in general cannot be solved analytically in closed form. In this paper, a relatively new approach called differential transformation is applied in analyzing free lateral vibrations of a centrifugally stiffened rotating Euler-Bernoulli beam. Both natural frequencies and modeshapes are obtained using differential transformation technique. Numerical examples are presented. The natural frequencies are in excellent agreement with published results. (C) 2007 Elsevier Ltd. All rights reserved.