Nonlinear vibration of functionally graded graphene platelet-reinforced composite truncated conical shell using first-order shear deformation theory

Abstract In this study, the first-order shear deformation theory (FSDT) is used to establish a nonlinear dynamic model for conical shell truncated by functionally graded graphene platelet-reinforced composite (FG-GPLRC). The vibration analyses of FG-GPLRC are presented. Considering platelets (GPLs) with three different distribution patterns, modified Halpin-Tsai calculate effective Young’s modulus. Hamilton’s principle, FSDT, and von-Karman type geometric relationships derive system partial differential governing equations shell. Galerkin method obtain ordinary Then, analytical frequencies solved harmonic balance method. effects weight fraction pattern GPLs, ratio length radius as well thickness on natural frequency characteristics discussed. This study culminates in discovery periodic motion chaotic