Analysis of functionally graded piezoelectric structures by Hermite interpolation element-free Galerkin method

IF 2.4 3区材料科学 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY

Journal of Intelligent Material Systems and Structures Pub Date : 2024-05-21 DOI:10.1177/1045389x241233800

Xiao Ma, Bo Zhou, Changhe Li, Yanbin Zhang, Min Yang, Shifeng Xue

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引用次数: 0

Abstract

Functionally graded piezoelectric structures (FGPSs) have excellent electromechanical properties and are promising for engineering applications. However, the inhomogeneous material properties and piezoelectric effects create great difficulties in the mechanical analysis of the FGPSs. In this paper, a Hermite interpolation element-free Galerkin method (HIEFGM) is proposed for the numerical analysis of the FGPSs. The HIEFGM utilizes a set of nodes to represent the problem domain, which can ideally reflect the inhomogeneous material properties of the FGPSs. Firstly, the governing equations of the FGPSs are derived through the constitutive equation, equilibrium equation, and boundary conditions. Secondly, the approximating function of the field quantities is obtained by the improved moving least-square method and Hermite interpolation. The HIEFGM formulation of the FGPSs is obtained using the variational principle. Furtherly, the influence of weight function, scaling parameter, and node densities on the HIEFGM of the FGPSs is discussed in detail through a parameter study. Finally, the availability of present method is estimated by several examples with different configurations and boundary conditions. The influence of gradation exponent on the electromechanical responses of the FGPSs is analyzed. The results show that the present method has excellent accuracy and stability in analyzing the FGPSs. As the gradation exponent increases, the distribution of the field quantities of the FGPSs exhibits nonlinear characteristics. This work may provide an effective methodology for the analysis of the FGPSs, and contribute to the theoretical research and engineering application of the FGPSs.

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用 Hermite 插值无元素 Galerkin 方法分析功能梯度压电结构

功能分级压电结构（FGPS）具有优异的机电特性，在工程应用中大有可为。然而，不均匀的材料特性和压电效应给 FGPS 的力学分析带来了很大困难。本文提出了一种用于 FGPS 数值分析的 Hermite 插值无元素 Galerkin 方法（HIEFGM）。HIEFGM 利用一组节点来表示问题域，可以理想地反映 FGPS 的非均质材料特性。首先，通过构成方程、平衡方程和边界条件推导出 FGPS 的控制方程。其次，通过改进的移动最小二乘法和赫米特插值法获得场量的近似函数。利用变分原理得到了 FGPS 的 HIEFGM 公式。此外，还通过参数研究详细讨论了权重函数、比例参数和节点密度对 FGPS 的 HIEFGM 的影响。最后，通过几个具有不同配置和边界条件的实例来评估本方法的可用性。分析了分级指数对 FGPS 机电响应的影响。结果表明，本方法在分析 FGPS 时具有出色的准确性和稳定性。随着梯度指数的增加，FGPS 的场量分布呈现出非线性特征。这项工作可以为 FGPS 的分析提供一种有效的方法，为 FGPS 的理论研究和工程应用做出贡献。

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 Intelligent Material Systems and Structures 工程技术-材料科学：综合

CiteScore

5.40

自引率

11.10%

发文量

126

审稿时长

4.7 months

期刊介绍： The Journal of Intelligent Materials Systems and Structures is an international peer-reviewed journal that publishes the highest quality original research reporting the results of experimental or theoretical work on any aspect of intelligent materials systems and/or structures research also called smart structure, smart materials, active materials, adaptive structures and adaptive materials.