On exact analysis of free vibrations of embedded transversely isotropic cylindrical shells

This paper exactly studies the coupled free vibration of a transversely iso tropic cylindrical shell embedded in an elastic medium. Response of the ela stic medium is represented by Winkler/Pasternak models while the behavior o f the cylindrical shell is analyzed based on the three dimensional elastici ty. Three displacement functions are chosen to represent three displacement components to decouple the three-dimensional equations of motion of a tran sversely isotropic body. After expanding these functions with orthogonal se ries, the coupled free vibration problem of an embedded transversely isotro pic shell with ends simply-supported can be readily dealt with. In particul ar, Bessel function solution which includes complex arguments is directly u sed for the case of complex eigenvalues. Numerical examples are presented a nd compared to the results of existent papers. (C) 1998 Elsevier Science Lt d. All rights reserved.