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<p>This work presents the first investigation of the nonlinear forced vibration behavior of copper plates reinforced with functionally graded graphene origami (FG-GOri) and immersed in a fluid under pulse-type excitations, including step and triangular loads. The effective mechanical properties of the FG-GOri/copper nanocomposite, such as elastic moduli, Poisson’s ratio, and mass density, are evaluated using the modified Halpin-Tsai formulation and the rule of mixtures, while the distribution of GOri through the plate thickness follows a layer-wise grading scheme. The nonlinear dynamic response of the plate is modeled by incorporating higher-order shear deformation theory (HSDT) together with von Kármán kinematic assumptions. The governing equations of motion are derived via Hamilton’s variational principle and transformed into a time-dependent system using the Galerkin approach. Numerical solutions are then obtained through a fourth-order Runge-Kutta scheme. The accuracy of the proposed formulation is verified by comparison with available reference solutions from the literature, demonstrating very good agreement. A comprehensive parametric investigation is subsequently carried out to explore the effects of plate geometry, GOri volume fraction, H coverage, upper fluid depth, lower fluid depth and excitation load on the nonlinear dynamic deflection of the nanocomposite copper plate.</p>

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Fluid-structure interaction analysis of graphene origami-reinforced plates under pulse loading: Nonlinear forced vibration

  • 期刊论文

  • 发表日期：

    2026年7月17日

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  • Fatemah H. H. Al Mukahal,
  • Mohammed Sobhy,
  • Ahmed F. Radwan

摘要

This work presents the first investigation of the nonlinear forced vibration behavior of copper plates reinforced with functionally graded graphene origami (FG-GOri) and immersed in a fluid under pulse-type excitations, including step and triangular loads. The effective mechanical properties of the FG-GOri/copper nanocomposite, such as elastic moduli, Poisson’s ratio, and mass density, are evaluated using the modified Halpin-Tsai formulation and the rule of mixtures, while the distribution of GOri through the plate thickness follows a layer-wise grading scheme. The nonlinear dynamic response of the plate is modeled by incorporating higher-order shear deformation theory (HSDT) together with von Kármán kinematic assumptions. The governing equations of motion are derived via Hamilton’s variational principle and transformed into a time-dependent system using the Galerkin approach. Numerical solutions are then obtained through a fourth-order Runge-Kutta scheme. The accuracy of the proposed formulation is verified by comparison with available reference solutions from the literature, demonstrating very good agreement. A comprehensive parametric investigation is subsequently carried out to explore the effects of plate geometry, GOri volume fraction, H coverage, upper fluid depth, lower fluid depth and excitation load on the nonlinear dynamic deflection of the nanocomposite copper plate.