Generalized collocation methods for rotational shells free vibration analysis

An application of the generalized collocation method to the free vibration analysis of rotational shells is presented. The formulation takes into account the transverse shearing deformation and the rotary inertia of the system. Using a feature of the ring finite element analysis, a one-dimensional strong formulation of the dynamic equilibrium of the shell is obtained. The discretization of the system leads to a standard linear eigenvalue problem for harmonic motion in time. The comparison with available results for some numerical study shows good accuracy of the present procedure. It is remarkable that due to the adopted shell theory, the so-called δ-point technique is not needed.