变厚度多向功能梯度板的瞬态分析

IF 1.7 4区 材料科学 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY Multidiscipline Modeling in Materials and Structures Pub Date : 2023-05-16 DOI:10.1108/mmms-12-2022-0283
Minh Thi Tran, Son Thai
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引用次数: 1

摘要

目的建立基于等几何分析的多向变厚度功能梯度板动力学行为数值模型。设计/方法/方法对多向功能梯度板的动力特性进行了数值研究。以变厚矩形板和变厚圆形板为研究对象。采用Reddy的三阶剪切变形板理论来描述位移场,并根据Hamilton原理建立了运动方程。采用等几何分析方法作为离散化工具建立系统方程,其中采用NURBS基函数。著名的纽马克方法被用来解决时变问题。研究结果表明,厚度梯度比材料面内变化的影响更大。此外,还观察到阻尼系数对板的振动幅值的影响。本研究结果可为今后考虑粘弹性和其他动力因素的研究提供参考。虽然文献中已有大量研究对变厚度FGM和MFGM板的线性静态弯曲和自由振动进行了分析,但对FGM和MFGM板的动态响应的研究仍然有限。因此,本研究致力于多向功能梯度板的动力行为研究。
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Transient analysis of variable thickness multi-directional functionally graded plates using isogeometric analysis
PurposeThe main objective of this study is to develop a numerical model based on Isogeometric Analysis to study the dynamic behavior of multi-directional functionally graded plates with variable thickness.Design/methodology/approachA numerical study was conducted on the dynamic behavior of multi-directional functionally graded plates. Rectangular and circular plates with variable thickness are taken into investigation. The third-order shear deformation plate theory of Reddy is used to describe the displacement field, while the equation of motion is developed based on the Hamilton's principle. Isogeometric Analysis approach is employed as a discretization tool to develop the system equation, where NURBS basis functions are used. The famous Newmark method is used to solve time-dependent problems.FindingsThe results obtained from this study indicated that the thickness gradation has a more considerable effect than in-plane variation of materials in MFGM plates. Additionally, the influence of the damping factor is observed to affect the vibration amplitude of the plate. The results obtained from this study could be used for future investigations, where the viscous elasticity and other dynamic factors are considered.Originality/valueAlthough there have been a number of studies in the literature devoted to analyzing the linear static bending and free vibration of FGM and MFGM plates with variable thickness, the study on dynamic response of FGM and MFGM plate is still limited. Therefore, this study is dedicated to the investigation of the dynamic behavior of multi-directional functionally graded plates.
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来源期刊
CiteScore
3.70
自引率
5.00%
发文量
60
期刊介绍: Multidiscipline Modeling in Materials and Structures is published by Emerald Group Publishing Limited from 2010
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