多孔泡沫芯、GPL层和压电磁电面板夹层微梁的NSGT自由振动

IF 2.9 4区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
M. Mohammadimehr, S. Firouzeh, Mahsa Pahlavanzadeh, Yaser Heidari, M. Irani-Rahaghi
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引用次数: 3

摘要

本研究的目的是研究一种新型的五层Timoshenko微梁的自由振动,该微梁由一个由泡沫铝制成的横向柔性多孔核心,两个石墨烯片(GPL)纳米复合材料增强层组成,以增强结构的力学性能,以及两个压电磁电面片层。该微梁承受热负荷,并在帕斯捷尔纳克的基础上休息。为了完成分析,利用非局部应变梯度理论(NSGT)推导了各层的本构方程,以捕捉尺寸相关效应。然后,利用Hamilton原理得到了五层Timoshenko微梁的运动方程。随后应用Navier的方法对其进行解析求解,从而以动态矩阵的形式确定离散化的控制方程,从而有可能获得Timoshenko微梁的固有频率。最后,通过验证研究,给出了数值结果,研究和讨论了非局部参数、应变梯度参数、长径比、孔隙率、石墨烯薄片的不同体积分数和分布、温度变化和弹性基础系数等参数对夹层微梁固有频率的影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Free vibration of sandwich micro-beam with porous foam core,GPL layers and piezo-magneto-electric facesheets via NSGT
The aim of this research is to investigate free vibration of a novel five layer Timoshenko microbeam which consists of a transversely flexible porous core made of Al-foam, two graphen platelets (GPL) nanocomposite reinforced layers to enhance the mechanical behavior of the structure as well as two piezo-magneto-electric face sheets layers. This microbeam is subjected to a thermal load and resting on Pasternak\'s foundation. To accomplish the analysis, constitutive equations of each layer are derived by means of nonlocal strain gradient theory (NSGT) to capture size dependent effects. Then, the Hamilton\'s principle is employed to obtain the equations of motion for five layer Timoshenko microbeam. They are subsequently solved analytically by applying Navier\'s method so that discretized governing equations are determined in form of dynamic matrix giving the possibility to gain the natural frequencies of the Timoshenko microbeam. Eventually, after a validation study, the numerical results are presented to study and discuss the influences of various parameters such as nonlocal parameter, strain gradient parameter, aspect ratio, porosity, various volume fraction and distributions of graphene platelets, temperature change and elastic foundation coefficients on natural frequencies of the sandwich microbeam.
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来源期刊
Computers and Concrete
Computers and Concrete 工程技术-材料科学:表征与测试
CiteScore
8.60
自引率
7.30%
发文量
0
审稿时长
13.5 months
期刊介绍: Computers and Concrete is An International Journal that focuses on the computer applications in be considered suitable for publication in the journal. The journal covers the topics related to computational mechanics of concrete and modeling of concrete structures including plasticity fracture mechanics creep thermo-mechanics dynamic effects reliability and safety concepts automated design procedures stochastic mechanics performance under extreme conditions.
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