NATURAL FREQUENCIES AND MODES OF OPEN CYLINDRICAL SHELLS WITH A CIRCUMFERENTIAL THICKNESS TAPER

摘要

An analytical procedure to estimate not only the natural frequencies but also modes of open cylindrical shells with a circumferential thickness taper by the transfer matrix method is presented. The transfer matrix is derived from the non-linear differential equations for the cylindrical shells by numerical integration. The accuracy and convergence characteristics of this method are investigated, and the natural frequencies and modes of open cylindrical shells with a circumferential thickness taper are presented for various curvatures, aspect ratios, boundary conditions and thickness ratios. Furthermore, the influences of thickness variation of the cross-section on the natural frequencies and modes are examined. [References: 15]