CLOSED FORM SOLUTIONS FOR THE POINT MOBILITIES OF AXISYMMETRICALLY EXCITED CYLINDRICAL SHELLS

Closed form formulae are reported describing point mobilities for thin cylindrical shells in axisymmetric motion. Two cases are studied: (1) the infinite shell and (2) the edge-excited semi-infinite shell and, for both, forces and moment excitation are considered. The solutions of these problems are obtained analytically by resorting to perturbation methods and presented in terms of the Green functions and point mobilities. These results are further used to derive approximate expressions for the reflection coefficients of the shell-borne waves at a free end and for the Green functions of a finite free–free shell undergoing axisymmetric vibrations.