Free vibration analysis of functionally graded plates containing embedded curved cracks

IF 2.2 4区工程技术 Q2 ENGINEERING, CIVIL Structural Engineering and Mechanics Pub Date : 2021-01-01 DOI:10.12989/SEM.2021.79.2.157

V. Khalafi, J. Fazilati

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引用次数: 2

Abstract

In the present paper, the free vibration behavior of functionally graded plates containing straight and curved embedded crack is investigated. A NURBS-based multi-patch isogeometric analysis formulation is utilized based on the firstorder shear deformation plate theory. The Nitsche technique is implemented to meet the inter-patch connection constraints. The crack line is assumed as a narrow cut along a straight or free-shape curve path within the plate. The crack growth phenomena are overlooked. The accuracy and quality of the obtained results are compared to those available in the literature. Subsequently, the effect of various material and geometry parameters on the free vibration characteristics of cracked FG plate including the volume-fraction index, crack shape, crack length, crack orientation and, crack location are examined. It learned that the straight crack inclination angle mainly influences the fifth and fourth natural modes. Moreover, the FGM mixture index doesn't noticeably affect the frequency trends. No considerable impact is noted between the edge constraint setups on the fundamental frequency.

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含嵌曲裂纹功能梯度板的自由振动分析

本文研究了含直、弯嵌缝功能梯度板的自由振动特性。基于一级剪切变形板理论，提出了一种基于nurbs的多块等几何分析公式。采用Nitsche技术来满足贴片间连接约束。假定裂纹线是沿板内直线或自由形状曲线路径的窄切口。裂纹扩展现象被忽略。所得结果的准确性和质量与文献中可用的结果进行了比较。随后，研究了各种材料和几何参数对裂纹FG板自由振动特性的影响，包括体积分数指数、裂纹形状、裂纹长度、裂纹方向和裂纹位置。研究发现，直裂纹倾角主要影响第五、四阶自然模态。此外，女性生殖器切割混合指数对频率趋势没有显著影响。边缘约束设置对基频没有显著的影响。

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来源期刊

Structural Engineering and Mechanics 工程技术-工程：机械

CiteScore

3.80

自引率

18.20%

发文量

审稿时长

11 months

期刊介绍： The STRUCTURAL ENGINEERING AND MECHANICS, An International Journal, aims at: providing a major publication channel for structural engineering, wider distribution at more affordable subscription rates; faster reviewing and publication for manuscripts submitted; and a broad scope for wider participation. The main subject of the Journal is structural engineering concerned with aspects of mechanics. Areas covered by the Journal include: - Structural Mechanics - Design of Civil, Building and Mechanical Structures - Structural Optimization and Controls - Structural Safety and Reliability - New Structural Materials and Applications - Effects of Wind, Earthquake and Wave Loadings on Structures - Fluid-Structure and Soil-Structure Interactions - AI Application and Expert Systems in Structural Engineering. Submission of papers from practicing engineers is particularly encouraged.