Determination of nonstationary temperature fields and stress state in bidirectionally tapered shells of revolution

Abstract

A procedure is developed for determination of the nonstationary temperature fields in shells of revolution, which are tapered in two directions and subjected to nonaxisymmetric convective heat exchange with the surrounding medium. In that case, two approaches are used: the first approach is based on use of finite differences in the meridional and circumferential directions, while in the second, the method of integral relationships is employed around the circumference, and finite differences in the meridional direction. In both approaches, power polynomials are used for the thickness variable, and an explicit difference scheme for time. The thermoelastic stress state is determined using the Kirchhoff-Love hypothesis. The method of integral relationships is used in the circumferential direction, and the method of discrete orthogonalization in the meridional direction. Results of numerical investigations are presented.