ASYMPTOTIC TRANSFER-FUNCTION ANALYSIS OF CONICAL SHELLS

An asymptotic transfer function method is presented for modeling and a nalysis of conical shells. The displacement functions are first expand ed in Fourier series in the circumferential direction, and the motion equations are decoupled into a group of partial differential equations dth one space variable and one time variable. introducing a small per turbation parameter and using the Laplace transformation and perturbat ion technique, the partial differential equations with variable coeffi cients are reduced to ordinary differential equations with constant co efficients, which are solved by the transfer function method. The meth od is used to perform analysis of stepped conical shells with differen t conical angle or thickness and subjected to various initial and boun dary conditions. Numerical methods are presented and compared with the finite element method.