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

This paper exactly studies the coupled free vibration of a transversely isotropic cylindrical shell embedded in an elastic medium. Response of the elastic medium is represented by Winkler/Pasternak models while the behavior of the cylindrical shell is analyzed based on the three dimensional elasticity. Three displacement functions are chosen to represent three displacement components to decouple the three-dimensional equations of motion of a transversely isotropic body. After expanding these functions with orthogonal series, the coupled free vibration problem of an embedded transversely isotropic shell with ends simply-supported can be readily dealt with. In particular, Bessel function solution which includes complex arguments is directly used for the case of complex eigenvalues. Numerical examples are presented and compared to the results of existent papers. (C) 1998 Elsevier Science Ltd. All rights reserved.