Nonlinear stability analysis of FG-GPLRC toroidal shell segments with arbitrary meridian curvature stiffened by helix FG-GPLRC stiffeners surrounded by an elastic foundation subjected to radial load

Chúng tôi vui mừng thông báo rằng PGS. TS. Đặng Thuỳ Đông và các đồng nghiệp đã xuất bản công trình có tựa đề "Nonlinear stability analysis of FG-GPLRC toroidal shell segments with arbitrary meridian curvature stiffened by helix FG-GPLRC stiffeners surrounded by an elastic foundation subjected to radial load” trên tạp chí Mechanics Based Design of Structures and Machines.

Tóm tắt:

An analytical analysis of the nonlinear stability of functionally graded graphene platelet-reinforced composites (FG-GPLRC) toroidal shell segments with arbitrary curvature under radial loads is presented. The typical meridian curvatures, such as circular, parabolic, and sinusoidal shapes, are considered, while thermal effects and elastic foundation interaction are taken into account. The Donnell shell theory and von Kármán geometric nonlinearity are employed, and the structures are stiffened with helix or orthogonal FG-GPLRC stiffeners. An improved Lekhnitskii smeared stiffener technique is utilized, incorporating an anisotropic beam model and coordinate transformation for helix FG-GPLRC stiffeners, with thermal stresses accounted for in both the shell and stiffeners. The distributions of graphene platelets (GPLs) in both shell skin and stiffeners are designed to ensure the condition of material continuity. The Ritz energy method is applied using a three-term deflection function, and an approximate form of stress function is developed to handle the mathematical difficulty due to complex curvature. Numerical results provide critical buckling loads and postbuckling behavior, highlighting the influence of helix and orthogonal stiffeners, GPL distribution patterns, temperature variations, and foundation stiffnesses.