Vibration analysis of multilayer graphene origami-enabled metamaterial plates

IF 2.3 3区工程技术 Q2 MECHANICS

Acta Mechanica Pub Date : 2024-10-16 DOI:10.1007/s00707-024-04117-4

Hosein Ezzati, Salar Pashalou, Abbas Rastgoo, Farzad Ebrahimi

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Abstract

This study investigates the free vibration behavior of auxetic metamaterial plates using a refined plate theory. The research focuses on the integration of functionally graded graphene origami (GOri) into the plate structures, examining various content levels and folding patterns to enhance dynamic performance. The GOri-reinforced plates are analyzed within the context of a Winkler–Pasternak elastic substrate. Hamilton’s principle is applied to derive the kinetic equations governing the auxetic metamaterial plates, facilitating an analytical solution for the governing equations. A comprehensive comparison of numerous parameters is conducted, including graphene content and dispersion type, GOri folding degree and distribution pattern, temperature effects, and elastic foundation coefficients, all of which influence the vibrational characteristics of the plates. The findings identify critical factors affecting natural frequency, providing a thorough understanding of the relationship between the physical configuration of auxetic metamaterial plates and their dynamic response. This study ultimately aims to leverage these insights to optimize the design of auxetic metamaterials for improved vibrational performance in engineering applications.

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多层石墨烯折纸超材料板的振动分析

本研究采用精炼板理论研究了辅助超材料板的自由振动行为。研究重点是将功能分级石墨烯折纸（GOri）集成到板结构中，研究各种含量水平和折叠模式，以提高动态性能。在温克勒-帕斯捷尔纳克弹性基底的背景下对 GOri 加固板进行了分析。应用汉密尔顿原理推导出了控制辅助超材料板的动力学方程，从而促进了对控制方程的分析求解。研究对众多参数进行了综合比较，包括石墨烯含量和分散类型、GOri 折叠程度和分布模式、温度效应和弹性基础系数，所有这些参数都会影响板的振动特性。研究结果确定了影响固有频率的关键因素，为深入理解辅助超材料板的物理配置与其动态响应之间的关系提供了依据。这项研究的最终目的是利用这些见解来优化辅助超材料的设计，从而改善工程应用中的振动性能。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Acta Mechanica 物理-力学

CiteScore

4.30

自引率

14.80%

发文量

292

审稿时长

6.9 months

期刊介绍： Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.