FREQUENCY-CHARACTERISTICS OF A THIN ROTATING CYLINDRICAL-SHELL USING THE GENERALIZED DIFFERENTIAL QUADRATURE METHOD

In this paper, the generalized differential quadrature (GDQ) method is used for the first time to study the effects of boundary conditions o n the frequency characteristics of a thin rotating cylindrical shell. The present analysis is based on Love-type shell theory and the govern ing equations of motion include the effects of initial hoop tension an d the centrifugal and coriolis accelerations due to rotation. The disp lacement field is expressed as a product of unknown smooth continuous functions in the meridional direction and trigonometric functions alon g the circumferential direction so that the three-dimensional dynamic problem may be transformed mathematically into a one-dimensional probl em. Based on this approach, the results are obtained for the effects o f the boundary conditions on the frequency characteristics at differen t circumferential wave numbers and rotating speeds and various geometr ic properties; the effect of rotating speed on the relationship betwee n frequency parameter and circumferential wave number is also discusse d. To validate the accuracy and efficiency of the GDQ method, the resu lts obtained are compared with those in the literature and very good a greement is achieved. (C) 1997 Published by Elsevier Science Ltd.