Postbuckling analysis of functionally graded graphene platelet-reinforced polymer composite cylindrical shells using an analytical solution approach

doi:10.1007/s10483-019-2498-8

摘要/Abstract

摘要： An analytical approach is proposed to study the postbuckling of circular cylindrical shells subject to axial compression and lateral pressure made of functionally graded graphene platelet-reinforced polymer composite (FG-GPL-RPC). The governing equations are obtained in the context of the classical Donnell shell theory by the von Kármán nonlinear relations. Then, based on the Ritz energy method, an analytical solution approach is used to trace the nonlinear postbuckling path of the shell. The effects of several parameters such as the weight fraction of the graphene platelet (GPL), the geometrical properties, and distribution patterns of the GPL on the postbuckling characteristics of the FG-GPL-RPC shell are analyzed.

关键词: autonomous system, non-linear control system, equation of motion, positive definite function, absolute stability, graphene platelet (GPL), analytical solution, cylindrical shell, postbuckling, nanocomposite

Abstract: An analytical approach is proposed to study the postbuckling of circular cylindrical shells subject to axial compression and lateral pressure made of functionally graded graphene platelet-reinforced polymer composite (FG-GPL-RPC). The governing equations are obtained in the context of the classical Donnell shell theory by the von Kármán nonlinear relations. Then, based on the Ritz energy method, an analytical solution approach is used to trace the nonlinear postbuckling path of the shell. The effects of several parameters such as the weight fraction of the graphene platelet (GPL), the geometrical properties, and distribution patterns of the GPL on the postbuckling characteristics of the FG-GPL-RPC shell are analyzed.

Key words: autonomous system, non-linear control system, equation of motion, positive definite function, absolute stability, nanocomposite, analytical solution, cylindrical shell, graphene platelet (GPL), postbuckling

中图分类号:

S. BLOORIYAN, R. ANSARI, A. DARVIZEH, R. GHOLAMI, H. ROUHI. Postbuckling analysis of functionally graded graphene platelet-reinforced polymer composite cylindrical shells using an analytical solution approach[J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(7): 1001-1016.

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