▎ 摘　　要

This paper studies the nonlinear primary resonance behavior of graphene platelet reinforced metal foams (GPLRMFs) doubly curved shells with initial geometric imperfection and pre-stressing force. On the basis of Reddy's higher-order shear deformation shell theory and von Karman's geometric nonlinearity, the nonlinear equations of motion of GPLRMFs doubly curved shells are obtained. By considering simply supported boundary conditions and employing the Galerkin method, the nonlinear ordinary differential equations are derived. The primary resonance of the GPLRMFs doubly curved shells is obtained by solving the nonlinear differential equations with the help of the modified Lindstedt Poincare (MLP) method. In the numerical analyses, the correctness of the present model in this paper is confirmed by comparing with the published literature. In the end, the effects of various parameters including the doubly curved shell types, graphene platelets (GPLs) distribution patterns, porosity distribution forms, initial geometric imperfection, GPLs weight fraction, porosity coefficients, and pre-stressing force on the nonlinear amplitude-frequency response curves are analyzed.