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Purpose <p>Auxetic structures exhibit intriguing properties due to the negative Poisson ratio, which makes them a noteworthy option for enhancing efficiency in cutting-edge applications. For the first time in this study, the large-amplitude vibrations of sandwich double-curved shallow (SDCS) shells with an auxetic core and functionally graded graphene platelet-reinforced composite (FG-GPLRC) face sheets are investigated. The FG-GPLRC layers are stacked in various patterns and functions along the thickness of the face sheets.</p> Methods <p>First, the structure's governing equations are derived using first-order shear deformation theory (FOSDT) and Hamilton's principle. In the second step, the governing equations are transformed into time-dependent differential equations using the Galerkin method. The homotopy perturbation method is employed to solve the nonlinear equations.</p> Conclusions <p>The effects of important parameters, such as the auxetic material, weight percentage, and arrangement pattern of FG-GPLRC skins, and different shapes of SDCS shell, on the natural frequency and hard-spring behavior of the SDCS shell. The results of this study indicate that all of these parameters significantly impact the linear and nonlinear vibrational characteristics of the shell.</p>

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Nonlinear Vibrations Analysis of Sandwich Double-Curved Shallow Shells with Auxetic Core and Functionally Graded Graphene Platelet-Reinforced Face Sheets

  • 期刊论文

  • 发表日期：

    2025年7月2日

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  • Amir Ghajarian,
  • Yasser Rostamiyan,
  • Seyyed Masoud Seyyedi

摘要

Purpose

Auxetic structures exhibit intriguing properties due to the negative Poisson ratio, which makes them a noteworthy option for enhancing efficiency in cutting-edge applications. For the first time in this study, the large-amplitude vibrations of sandwich double-curved shallow (SDCS) shells with an auxetic core and functionally graded graphene platelet-reinforced composite (FG-GPLRC) face sheets are investigated. The FG-GPLRC layers are stacked in various patterns and functions along the thickness of the face sheets.

Methods

First, the structure's governing equations are derived using first-order shear deformation theory (FOSDT) and Hamilton's principle. In the second step, the governing equations are transformed into time-dependent differential equations using the Galerkin method. The homotopy perturbation method is employed to solve the nonlinear equations.

Conclusions

The effects of important parameters, such as the auxetic material, weight percentage, and arrangement pattern of FG-GPLRC skins, and different shapes of SDCS shell, on the natural frequency and hard-spring behavior of the SDCS shell. The results of this study indicate that all of these parameters significantly impact the linear and nonlinear vibrational characteristics of the shell.