基于厚度拉伸和微结构依赖模型的三方向涂覆板振动分析

IF 1.9 4区 工程技术 Q3 MECHANICS
Ahmed Amine Daikh , Mohamed-Ouejdi Belarbi , Pham Van Vinh , Li Li , Mohamed Sid Ahmed Houari , Mohamed A. Eltaher
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引用次数: 0

摘要

在本研究中,三方向涂层功能梯度板具有不同层次的微观结构,并且使用非经典力学结合固有特征长度以及材料性能的空间变化来更准确地建模。采用改进的准三维高阶剪切变形理论,结合非局部应变梯度理论,研究了三方向涂覆功能梯度板的自由振动特性。基于广义位移场,采用准三维高阶剪切变形理论,将变量数从6个减少到5个。根据哈密顿原理求解运动方程,并应用伽辽金技术求解各种边界条件。此外,与微结构相关的参数,即非局部参数和长度尺度参数,也对三方向涂覆功能梯度板的频率有显著影响。考虑非局部参数时,对多方向涂覆板进行软化处理;考虑长度尺度参数时,多向涂覆板会发生硬化。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Vibration analysis of tri-directionally coated plate via thickness-stretching and microstructure-dependent modeling

In this study, the tri-directionally-coated functionally graded plate has different levels of microstructure and is modeled more accurately using nonclassical mechanics incorporating the intrinsic characteristic lengths as well as using a spatial variation of material properties. The free vibration behavior of the tri-directionally-coated functionally graded plate is investigated using a refined quasi-3D higher-order shear deformation theory in conjunction with nonlocal strain gradient theory. Based on the generalized field of displacement, the quasi-3D higher-order shear deformation theory is employed by reducing the number of variables from six to five variables. The equations of motion are performed based on the principle of Hamilton and solved by applying the Galerkin technique to cover various boundary conditions. Besides, the microstructure-dependent parameters, that is, the nonlocal parameter and the length scale parameter, also affect significantly the frequency of the tri-directionally-coated functionally graded plates. The multi-directionally-coated plate is softened when considering the nonlocal parameter; the multi-directionally-coated plate is, however, hardened when considering the length scale parameter.

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来源期刊
CiteScore
4.10
自引率
4.20%
发文量
114
审稿时长
9 months
期刊介绍: Mechanics Research Communications publishes, as rapidly as possible, peer-reviewed manuscripts of high standards but restricted length. It aims to provide: • a fast means of communication • an exchange of ideas among workers in mechanics • an effective method of bringing new results quickly to the public • an informal vehicle for the discussion • of ideas that may still be in the formative stages The field of Mechanics will be understood to encompass the behavior of continua, fluids, solids, particles and their mixtures. Submissions must contain a strong, novel contribution to the field of mechanics, and ideally should be focused on current issues in the field involving theoretical, experimental and/or applied research, preferably within the broad expertise encompassed by the Board of Associate Editors. Deviations from these areas should be discussed in advance with the Editor-in-Chief.
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