Analysis of Toroidal Shells Using the Differential Quadrature Method

In new applications of toroidal shells it is often necessary to solve problems of statics, response, vibration, and buckling. While the finite element method can serve as the main means of analysis it is desirable to have available a second, complementary, method that can be used for verification, parametric studies, and specialized analyses. In this paper the use of the new differential quadrature method in such a complimentary role is investigated. Problems involving the statics, response, vibration, and buckling of toroidal shells are analyzed. Numerical results obtained are compared with finite element calculations. Finally conclusions are drawn concerning the agreement between the methods, and the usefulness of the new method for specialized studies.