Thermal Buckling of Thin Conical Shell Subjected to Uniform Pressure and Temperature

Abstract

The thermal buckling of the shell is one of the hot research fields in the field of solid mechanics. In this paper, the equation of thermal constitutive equation of isotropic material and the stability of axisymmetric conical shells were derived by tensor method. Application of thermal constitutive equation to the study of thermal buckling of conical shells, the equations of thermal stability of conical shells expressed by displacements were obtained. Considering the interaction of uniform external pressure and temperature, potential energy functional of conical shells is derived by the principle of minimum potential energy expressed in displacement, the thermal buckling of simply supported cone shell using Ritz method. The change trend of critical pressure and critical temperature caused by the change of conical shells wall thickness and base angle analysis.