• 文献标题:   Nonlinear dynamic stability analysis of three-dimensional graphene foam-reinforced polymeric composite cylindrical shells subjected to periodic axial loading
  • 文献类型:   Article
  • 作  者:   ZHANG F, BAI CY, WANG JZ
  • 作者关键词:   threedimensional graphene foamreinforced polymeric composite material, cylindrical shell, nonlinearity, bolotin s method, galerkin method, dynamic stability
  • 出版物名称:   ARCHIVE OF APPLIED MECHANICS
  • ISSN:   0939-1533 EI 1432-0681
  • 通讯作者地址:  
  • 被引频次:   0
  • DOI:   10.1007/s00419-022-02282-3 EA OCT 2022
  • 出版年:   2023

▎ 摘  要

This paper investigates the nonlinear dynamic stability of three-dimensional graphene foam (3D-GrF)-reinforced polymeric composite (RPC) cylindrical shells under the periodic axial loading. Three types of foam distribution are considered and the effective Young's modulus, Poisson's ratio and mass density of 3D-GrFRPC shells are obtained by using the mixing rule. Hamilton's principle is implemented to derive the differential equations of motion on the basis of Donnell's shell theory and von Karman geometric nonlinearity. In the framework of the Galerkin method and Airy stress function, the nonlinear transverse vibration differential equation is transformed to the Mathieu-Hill equation. Moreover, the explicit expressions of steady-state vibration amplitude of 3D-GrFRPC shells are obtained via Bolotin's method. Finally, the effects of foam coefficient, foam distribution, dynamic load factor, static load factor and shell geometry parameters on the nonlinear dynamic stability of 3D-GrFRPC cylindrical shells are discussed.