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Nonlinear resonance and chaotic dynamic of rotating graphene platelets reinforced metal foams plates in thermal environment

Song Jin-Peng, She Gui-Lin

Archives of Civil and Mechanical Engineering

2024

Vol. 24, no. 1

art. no. e45, 2024

In the present work, attention is paid to the nonlinear vibrations and chaotic dynamic behaviors of rotating graphene platelets reinforced metal foams (GPLRMF) blades operating in a thermal environment. Considering three different distribution patterns of graphene platelets (GPL) and foams, the improved Halpin–Tsai model, mixing rules and Maxwell-Eucken model are applied to obtain the physical parameters of rotating GPLRMF plates. The motion equations of GPLRMF rotating plates are established through higher-order shear deformation theory (HSDT), in which the centrifugal force, Coriolis force and heat conduction are included. Under the cantilever and simply supported boundary conditions, the nonlinear ordinary differentia equation (ODE) of the system is obtained by Galerkin method. The amplitude-frequency response, bifurcation curve, and chaotic motion of the rotating GPLRMF blades are analyzed with the aid of the methods of multi-scale and Runge–Kutta. Furthermore, comprehensive investigations into the effects of temperature, presetting angle, GPL distribution mode, foam distribution mode, volume fraction, porosity coefficient, rotational speed, damping coefficient, and excitation force on the nonlinear dynamics of rotating plates are performed through numerical analyses.