Nonlinear buckling of eccentrically stiffened functionally graded toroidal shell segments under torsional load surrounded by elastic foundation in thermal environment

Abstract

The nonlinear buckling and post-buckling of functionally graded stiffened toroidal shell segment surrounded by elastic foundation in thermal environment and under torsional load are investigated in this paper. The functionally graded toroidal shell segments are reinforced by ring and stringer stiffeners system in which material properties of shell are assumed to be continuously graded in the thickness direction. The two-parameter elastic foundation proposed by Pasternak is studied. Theoretical formulations are derived basing on the classical shell theory with the geometrical nonlinearity in von Karman sense and the smeared stiffeners technique. The three-term approximate solution of deflection is chosen more correctly and the explicit expression for finding critical load and post-buckling torsional load-deflection curves are found. The effects of geometrical parameters, temperature, stiffeners and elastic foundation are investigated.