Iterative analytical solution of nonlinear analysis of shallow spherical shell with computer algebra systems—MapleV

Abstract

This paper is concerned with the application of Computer Algebra System—MapleV to the nonlinear analysis of shallow spherical shells. In the present paper, the nonlinear equations of the shell to the nonlinear problem could be solved by using CASes method. Detailed high-order iterative solution expressions and analytical results for the third iteration are given in CASes forms. The numerical results show that the solutions of this paper contain other cases where the solutions were the second iteration. The effects of various inner radius parameters have been investigated in detail. The results of the third iterative expressions are obtained firstly. It has been shown that the adoption of CASes method would be useful in nonlinear problems.