Flapwise bending vibration of rotating tapered beams using variational iteration method

Abstract

Although flapwise bending vibration of rotating tapered beams has been extensively studied since the 1970s, most of these studies were based on approximations with varying degrees of accuracy and complexity. The flapwise bending vibration of rotating tapered beams is re-examined in this paper using the technique of variational iteration, which is relatively new and capable of providing accurate results for eigenvalue problems with good convergence. Natural frequencies and mode shapes of rotating beams are extracted for various rotational speeds and taper ratios, and solutions are compared with results published in the literature where available.