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<p>This work aims to investigate the free oscillation and transient response of functionally graded (FG) graphene origami (GOri)-enabled auxetic metamaterial (FG-GOEAM) plate with nonlinear variable thickness, resting on visco-Pasternak foundation in thermal environment and subjected to blast load. Because of their remarkable mechanical and physical characteristics, including their high strength-to-weight ratio, tunable stiffness and strength, and negative Poisson’s ratio (NPR), FG-GOEAM structures have demonstrated tremendous potential for a range of technical applications. Based on the Hamilton principle combined with the higher-order shear deformation theory (HSDT), the weak forms for free oscillation and transient response of the FG-GOEAM plate with nonlinear variable thickness is established, then the isogeometric approach (IGA) and the Newmark direct integration method are used to obtain the natural frequency value and dynamic response. A comprehensive coefficients study is conducted to reveal the influences of Gori’s folding degree, viscoelastic foundation stiffness, temperature difference, distribution pattern, weight fraction, and plate dimensions on the free oscillation and transient response of the FG-GOEAM plate under blast load. Numerical results show that the FG-GOEAM plate with NPR significantly outperforms its pristine metallic counterpart in terms of resistance to the impact of dynamic loads, especially explosive loads.</p>

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Thermal vibration and forced vibration of the FG graphene origami enabled auxetic metamaterial plate with the nonlinear variable thickness on visco-Pasternak foundations via the isogeometric analysis

  • 期刊论文

  • 发表日期：

    2025年11月12日

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  • Quoc Hoa Pham,
  • Thanh Cuong-Le

摘要

This work aims to investigate the free oscillation and transient response of functionally graded (FG) graphene origami (GOri)-enabled auxetic metamaterial (FG-GOEAM) plate with nonlinear variable thickness, resting on visco-Pasternak foundation in thermal environment and subjected to blast load. Because of their remarkable mechanical and physical characteristics, including their high strength-to-weight ratio, tunable stiffness and strength, and negative Poisson’s ratio (NPR), FG-GOEAM structures have demonstrated tremendous potential for a range of technical applications. Based on the Hamilton principle combined with the higher-order shear deformation theory (HSDT), the weak forms for free oscillation and transient response of the FG-GOEAM plate with nonlinear variable thickness is established, then the isogeometric approach (IGA) and the Newmark direct integration method are used to obtain the natural frequency value and dynamic response. A comprehensive coefficients study is conducted to reveal the influences of Gori’s folding degree, viscoelastic foundation stiffness, temperature difference, distribution pattern, weight fraction, and plate dimensions on the free oscillation and transient response of the FG-GOEAM plate under blast load. Numerical results show that the FG-GOEAM plate with NPR significantly outperforms its pristine metallic counterpart in terms of resistance to the impact of dynamic loads, especially explosive loads.