Свободные колебания функционально-градиентных пологих оболочек со сложной формой плана

Abstract

The approach for solving problems about free vibrations of shallow shells with complex plan-form consisting of functionally graded materials is developed. The solution method is based on the joint usage of refined shallow shell theory of the first order (Timoshenko’s type), Ritz variational method and R-function theory. Test problems have been solved for FG shallow shells with square and elliptical plan form. In order to confirm the advantage of the proposed approach the double-curved shallow shells with complex plan form are investigated.