Nonlinear vibration analysis of sandwich plate with cellular auxetic core and porous GPL reinforced piezoelectric face sheets rested on elastic foundation using GDQM via Reddy plate theory

IF 3.9 2区工程技术 Q1 ENGINEERING, CIVIL

Structures Pub Date : 2025-05-06 DOI:10.1016/j.istruc.2025.108976

Farzad Ebrahimi , Mohammad Mahinzare

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引用次数: 0

Abstract

This study looked at how a novel sandwich plate may vibrate freely in nonlinear ways by using smart Graphene Platelets) GPLs (nanocomposite layer and a lattice structure with a Negative Poisson's Ratio (NPR) core with Reddy plate theory. The effective properties of the elastic and piezoelectric of piezo-electrically actuated GPLs nanocomposite porous layers were identified utilizing the Halpin-Tsai model (HT) and the rule of mixture (ROM), respectively. Hamilton's principle, Maxwell's law, and the nonlinearity introduced by von Karman are utilized to develop the formulas that govern smart plates. Then, the equations of a smart plate are divided into distinct parts using the Generalized Differential Quadrature Method (GDQM). Furthermore, the cellular NPR plate rests on the Winkler/Pasternak/Kerr foundations. The nonlinear frequency ratio and nonlinear natural frequency of the smart plate are noticed in terms of the electric voltage and weight fraction of GPL. Additionally, the porosity factor effects, the thickness of smart Graphene Reinforced nanocomposite)GRNC(, and cellular NPR thickness on (ω_nl/ω_l) and ω_nl were calculated and shown, respectively graph.

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基于Reddy板理论，利用GDQM分析弹性基础上多孔GPL增强压电夹层板的非线性振动

本研究利用智能石墨烯薄片（GPLs）纳米复合层和负泊松比（NPR）核心的晶格结构，利用Reddy板理论研究了一种新型夹层板如何以非线性方式自由振动。利用Halpin-Tsai模型（HT）和混合规律（ROM）分别对压电驱动GPLs纳米复合多孔层的弹性和压电有效性能进行了表征。利用汉密尔顿原理、麦克斯韦定律和冯·卡门引入的非线性来发展控制智能板的公式。然后，利用广义微分正交法（GDQM）将智能板的方程分解为不同的部分。此外，细胞NPR板建立在Winkler/Pasternak/Kerr基础上。从GPL的电压和重量分数两方面观察到智能板的非线性频率比和非线性固有频率。此外，计算了孔隙率因子、智能石墨烯增强纳米复合材料厚度GRNC(、胞内NPR厚度对ωnl/ωl的影响，并分别绘制了ωnl的图。

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

Structures Engineering-Architecture

CiteScore

5.70

自引率

17.10%

发文量

1187

期刊介绍： Structures aims to publish internationally-leading research across the full breadth of structural engineering. Papers for Structures are particularly welcome in which high-quality research will benefit from wide readership of academics and practitioners such that not only high citation rates but also tangible industrial-related pathways to impact are achieved.