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.