Vibration response of functionally graded material sandwich plates with elliptical cutouts and geometric imperfections under the mixed boundary conditions

IF 1.9 4区材料科学 Q3 Materials Science

Science and Engineering of Composite Materials Pub Date : 2023-01-01 DOI:10.1515/secm-2022-0160

Dheeraj Singh, Ankit Gupta

引用次数: 0

Abstract

Abstract The present article investigates the effect of elliptical cutouts and geometric imperfections on the vibrational response of functionally graded material (FGM) sandwich plates. Generalised governing equations for the sandwich FGM (SFGM) plate are derived based on non-polynomial higher-order shear deformation theory. Geometric discontinuities have been incorporated as elliptical cutouts in the plates, and the various geometric imperfections are modelled using the generic function. The mathematical modelling has been carried out using the C0 continuity isoparametric finite element formulation by considering four-noded elements with seven degrees of freedoms per node. Convergence and validation studies have been performed to demonstrate the efficiency and accuracy of the present methodology. The influence of volume fraction index, geometric imperfections, and elliptical cutouts on the vibrational frequency of SFGM plates have been analysed under the mixed boundary conditions.

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混合边界条件下椭圆切口和几何缺陷功能梯度材料夹层板的振动响应

摘要本文研究了椭圆切口和几何缺陷对功能梯度材料（FGM）夹芯板振动响应的影响。基于非多项式高阶剪切变形理论，导出了夹层FGM（SFGM）板的广义控制方程。几何不连续性已作为椭圆切口纳入板中，并且使用通用函数对各种几何缺陷进行建模。通过考虑每个节点具有七个自由度的四节点单元，使用C0连续等参有限元公式进行了数学建模。已经进行了收敛性和验证性研究，以证明本方法的有效性和准确性。在混合边界条件下，分析了体积分数指数、几何缺陷和椭圆切口对SFGM板振动频率的影响。

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

Science and Engineering of Composite Materials 工程技术-材料科学：复合

CiteScore

3.10

自引率

5.30%

发文量

审稿时长

4 months

期刊介绍： Science and Engineering of Composite Materials is a quarterly publication which provides a forum for discussion of all aspects related to the structure and performance under simulated and actual service conditions of composites. The publication covers a variety of subjects, such as macro and micro and nano structure of materials, their mechanics and nanomechanics, the interphase, physical and chemical aging, fatigue, environmental interactions, and process modeling. The interdisciplinary character of the subject as well as the possible development and use of composites for novel and specific applications receives special attention.