Free vibration of functionally graded porous perforated solid structures with complex shaped holes

IF 3.8 3区工程技术 Q1 MECHANICS

International Journal of Solids and Structures Pub Date : 2025-05-21 DOI:10.1016/j.ijsolstr.2025.113449

A. Hadrich , S. Zghal , S. Koubaa , Z. Bouaziz

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引用次数: 0

Abstract

This paper investigates free vibration of functionally graded (FG) porous perforated solid structures with complex shaped holes. Based on the three-dimensional theory of elasticity and Hamilton’s principle, the governing equations are established. These equations are discretized using a four-noded three-dimensional finite element of a tetrahedron with volume coordinates and Lagrangian polynomials, noted (Q4-T4), and the natural frequencies are obtained by numerical solutions. Three forms of cutout or hole shapes are introduced, namely, cloud, flower and heart cutouts with three distinct forms of porosity, namely even, uneven and trigonometric forms, are also included in the model. The effects of cutout size and form, as well as the porosity volume fraction and patterns on the natural frequency, are discussed in detail. The results show that the natural frequency increases with the increase in the cutout shape (radius variation) and decreases with increasing porosity volume fraction and shift of the porosity pattern from a trigonometric to a uniform porosity distribution.

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具有复杂形状孔洞的功能梯度多孔多孔固体结构的自由振动

本文研究了具有复杂孔型的功能梯度多孔多孔固体结构的自由振动问题。基于三维弹性理论和哈密顿原理，建立了控制方程。这些方程使用四面体的四节点三维有限元离散化，具有体积坐标和拉格朗日多项式，记为（Q4-T4），并通过数值解获得固有频率。引入了三种形式的切口或孔洞形状，即云、花和心形切口，模型中还包括三种不同的孔隙形式，即均匀、不均匀和三角形式。详细讨论了岩心尺寸和形状以及孔隙体积分数和孔隙模式对固有频率的影响。结果表明：固有频率随岩心形状（半径变化）的增大而增大，随孔隙体积分数的增大和孔隙度由三角分布向均匀分布转变而减小；

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

International Journal of Solids and Structures 物理-力学

CiteScore

6.70

自引率

8.30%

发文量

405

审稿时长

70 days

期刊介绍： The International Journal of Solids and Structures has as its objective the publication and dissemination of original research in Mechanics of Solids and Structures as a field of Applied Science and Engineering. It fosters thus the exchange of ideas among workers in different parts of the world and also among workers who emphasize different aspects of the foundations and applications of the field. Standing as it does at the cross-roads of Materials Science, Life Sciences, Mathematics, Physics and Engineering Design, the Mechanics of Solids and Structures is experiencing considerable growth as a result of recent technological advances. The Journal, by providing an international medium of communication, is encouraging this growth and is encompassing all aspects of the field from the more classical problems of structural analysis to mechanics of solids continually interacting with other media and including fracture, flow, wave propagation, heat transfer, thermal effects in solids, optimum design methods, model analysis, structural topology and numerical techniques. Interest extends to both inorganic and organic solids and structures.