Nonlinear dynamic characteristics of smart FG-GPLRC sandwich varying thickness truncated conical shell with internal resonance for first three order modes

• Published in: Aerospace science and technology Vol. 155; p. 109672
• Main Authors: Yang, Shaowu, Wang, Zhiquan, Hao, Yuxin, Zhang, Wei, Niu, Yan, Ma, Wensai
• Format: Journal Article
• Language: English
• Published: Elsevier Masson SAS 01.12.2024
• Subjects: 1:1:1 internal resonance; Bifurcation; FG-GPLRC; Nonlinear dynamic characteristic; Sandwich conical shell; Varying thickness; Bifurcation; Sandwich conical shell; Varying thickness; Nonlinear dynamic characteristic; 1:1:1 internal resonance; FG-GPLRC
• ISSN: 1270-9638
• DOI: 10.1016/j.ast.2024.109672

•A novel model for FG-GPLRC truncated smart variable thickness sandwich conical shell is established.•1:1:1 internal resonance phenomenon of the sandwich conical shell has been discovered.•The effects of variable stiffness on the system are discussed.•The effects of the various material and structural parameters on nonlinear dynamic characteristics are considered. This paper examines the 1:1:1 internal resonant nonlinear dynamic characteristic of the simply supported varying thickness functionally graded graphene platelets reinforced composite (FG-GPLRC) smart truncated sandwich conical shell subject to the combined effects of transverse load and in-plane force. The truncated smart sandwich conical shell is composed of an FG-GPLRC varying thickness core and two magneto-electro-elastic face layers, whose material properties and constitutive relations are individually identified by the rule of mixture, improved Halpin-Tsai approach and generalized Hooke's law. Utilizing the first-order shear deformation theory (FSDT), von Karman's geometrical nonlinearity, Hamilton's principle and Galerkin technique, the 3DOF dimensionless nonlinear dynamic formulations for the truncated smart FG-GPLRC conical shell are established. The multiple-scale technique is applied to developing the averaged equations for the truncated smart FG-GPLRC conical shell under combined resonance. The frequency-response and force-response curves, Poincare maps, phase portraits, time history diagrams, bifurcation and maximum Lyapunov exponent diagrams can be portrayed by the nonlinear equation solver and Runge-Kutta approach. The effects of the damping and tuning parameters, transverse and in-plane forces on the 1:1:1 internal resonant nonlinear dynamic characteristic of truncated smart varying thickness FG-GPLRC sandwich conical shell are examined.