ON DYNAMIC RESPONSE OF AN ORTHOTROPIC FINITE CYLINDRICAL SHELL TO AN ARBITRARY PRESSURE FIELD

In the framework of an approximate small deflection theory, this paper considers the dynamic response of a thin, finite, simply-supported orthotropic cylindrical shell to an external pressure field of arbitrary spatial distribution and time dependence. The solution to the free vibrations, the integral representation for the response and the associated Green's function kernel are calculated. It is shown that the Green's function is of the same form as that appropriate to the isotropic shell. This form invariance of the Green's function with respect to the material properties of the shell implies that any solution for the response of a shell to a given load is valid for either isotropic or orthotropic shells with the proper substitution of values for certain constants. The effect of non-zero initial deformations is also considered in the Appendix. It is shown that the response integral representation is modified through the introduction of additional terms which depend on the initial displacement. © 1968.