An Investigation into the Free Vibration of Intact and Cracked FGM Plates

IF 0.9 Q3 ENGINEERING, MULTIDISCIPLINARY

Journal of Failure Analysis and Prevention Pub Date : 2023-09-15 DOI:10.1007/s11668-023-01744-2

Mohamed B. Shehab, Moustafa S. Taima, Hussein Sayed, Tamer A. El-Sayed

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引用次数: 0

Abstract

Abstract In this study, the linear free vibration of intact and cracked functionally graded material plates is investigated numerically and experimentally. The experimental work is limited to the isotropic materials. The numerical work is based on finite element, where a code is developed to obtain the natural frequencies of intact plates based on the first-order shear deformation theory (FSDT) using MATLAB software. Also, a model of through-cracked FGM plate is developed using ANSYS Workbench with the help of APDL coding. The material properties of the plates under study are graded in one, two, and three directions. The novelty of this study emerges through its examination of the synergistic impacts resulting from variations in FGM material properties, crack length, crack orientation, and crack location. These effects are comprehensively discussed in the results section. The result of the present model shows that the use of three-directional FGM reduces the natural frequency compared with the other cases of two-directional and unidirectional FGM. Also, the results show that the effect of FGM gradient on the frequency of intact and cracked plate is high when the gradient index $$n < 3 .$$ n < 3 . The present paper results are useful for the design of FGM plates especially when cracks exist.

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完整和裂纹FGM板的自由振动研究

摘要本文采用数值方法和实验方法研究了完整和裂纹梯度功能材料板的线性自由振动。实验工作仅限于各向同性材料。数值计算工作基于有限元，利用MATLAB软件开发了基于一阶剪切变形理论(FSDT)的完整板固有频率计算程序。利用ANSYS Workbench，利用APDL编码，建立了FGM板的贯通裂纹模型。所研究的板的材料性能在一个，两个和三个方向上分级。这项研究的新颖之处在于它对FGM材料特性、裂纹长度、裂纹方向和裂纹位置变化所产生的协同影响的研究。这些影响将在结果部分进行全面讨论。本模型的结果表明，与其他情况下的双向和单向FGM相比，使用三方向FGM降低了固有频率。当梯度指数为$$n <时，FGM梯度对完整板和裂纹板频率的影响较大;3 .$$ n <3.本文的研究结果对FGM板的设计有一定的指导意义，特别是在存在裂纹的情况下。

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

Journal of Failure Analysis and Prevention ENGINEERING, MULTIDISCIPLINARY-

CiteScore

2.00

自引率

8.30%

发文量

200

期刊介绍： The Journal of Failure Analysis and Prevention (JFAP) is written for and read by individuals involved in failure analysis, materials scientists, and mechanical, manufacturing, aeronautical, civil, chemical, corrosion, and design engineers. The publication is unique in that it contains current news and technical articles, as well as archival peer-reviewed papers and reviews. JFAP provides information gathering techniques, technical analysis, and emerging tools that will assist failure analysis professionals in determining the cause of failures and eliminating failures in the future. Articles demonstrate the importance of failure analysis to product/performance improvements and industrial problem solving. JFAP is intended to be of interest to both the experienced and less experienced failure analysis practitioner with a focus on shared interest across the industries.Bi-monthly periodical for the failure analyst. Provides practical information for determining the cause of failures and eliminating future failures. Highlights information-gathering techniques, technical analysis and emerging tools to assist the future analyst. Peer-reviewed articles demonstrate the important of failure analysis, product/performance improvement and industrial problem solving. Written for the experienced and less experienced failure analysis practitioner.