A closed-form solution procedure for circular cylindrical shell vibrations

A systematic procedure for obtaining the closed!form eigensolution for thin circular cylindrical shell vibrations is presented\ which utilizes the computational power of existing commercial software packages[ For cylindrical shells\ the longitudinal\ radial\ and circumferential displacements are all coupled with each other due to Poisson|s ratio and the curvature of the shell[ For beam and plate vibrations\ the eigensolution can often be found without knowledge of absolute dimensions or material properties[ For cylindrical shell vibrations\ however\ one must know the relative ratios between shell radius\ length\ and thickness\ as well as Poisson|s ratio of the material[ The mode shapes and natural frequencies can be determined analytically to within numerically determined coe.cients for a wide variety of boundary conditions\ including elastic and rigid ring sti}eners at the boundaries[ Excellent agreement is obtained when the computed natural frequencies are compared with known experimental results