NONLINEAR VIBRATION OF SHALLOW CONICAL SANDWICH SHELLS

This paper derives fundamental equations and boundary conditions of the non-linear free vibration theory for shallow conical sandwich shells by means of Hamilton's principle. Analytic solutions of the ratio of non-linear period to linear period vs the non-dimensional amplitude for the shells with two types of boundary conditions are obtained by Galerkin's method. Finally, effects of the geometrical parameter, physical parameter and boundary conditions on cion-linear vibration are discussed.