Free vibration analysis of in-plane bidirectional functionally graded plates with piezoelectric layers using RPT-IGA method

IF 5.7 2区工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Advances in Engineering Software Pub Date : 2026-04-01 Epub Date: 2026-02-10 DOI:10.1016/j.advengsoft.2026.104122

Zhenyang Gao , Yaqiang Xue , Yuan Gao , Chunyu Zhang

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Abstract

The free vibration of in-plane bidirectional functionally graded plates with piezoelectric layers (FGPPL) is investigated in this study, where isogeometric analysis (IGA) in conjunction with refined plate theory (RPT) is utilized. This paper proposes an original transverse shear stress function through thickness distribution, formulated by sine and power functions. The RPT offers a computational advantage over the first-order shear deformation theory (FSDT) by describing the field displacement vector field with only four variables and avoiding shear correction factors, thus markedly diminishing the quantity of degrees of freedom. The non-uniform rational B-spline (NURBS) functions have strong modeling capability and high-order continuity, easily meeting the C¹ continuity requirement of the RPT model. Vibration characteristics of square, skew, and elliptical plates are explored by RPT-IGA method. A novel bidirectional functionally graded material distribution of skew plate is introduced. The convergence was benchmarked against existing research data. This study finds that boundary conditions, geometric parameters, and the graded index significantly affect the dynamic response of in-plane non-uniform FGPPL.

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基于RPT-IGA法的压电层内双向功能梯度板自由振动分析

利用等几何分析（IGA）和精细板理论（RPT）相结合的方法，研究了平面内双向压电层功能梯度板（FGPPL）的自由振动。本文通过厚度分布提出了一个原始的横向剪应力函数，由正弦函数和幂函数表示。与一阶剪切变形理论（FSDT）相比，RPT具有计算优势，它仅用四个变量描述场位移矢量场，避免了剪切校正因素，从而显著减少了自由度的数量。非均匀有理b样条（NURBS）函数具有较强的建模能力和高阶连续性，容易满足RPT模型的C1连续性要求。采用RPT-IGA方法对方形、倾斜和椭圆板的振动特性进行了研究。介绍了一种新型的斜板双向功能梯度材料分布。这种收敛是根据现有的研究数据进行基准测试的。研究发现，边界条件、几何参数和梯度指数对面内非均匀FGPPL的动力响应有显著影响。

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

Advances in Engineering Software 工程技术-计算机：跨学科应用

CiteScore

7.70

自引率

4.20%

发文量

169

审稿时长

37 days

期刊介绍： The objective of this journal is to communicate recent and projected advances in computer-based engineering techniques. The fields covered include mechanical, aerospace, civil and environmental engineering, with an emphasis on research and development leading to practical problem-solving. The scope of the journal includes: • Innovative computational strategies and numerical algorithms for large-scale engineering problems • Analysis and simulation techniques and systems • Model and mesh generation • Control of the accuracy, stability and efficiency of computational process • Exploitation of new computing environments (eg distributed hetergeneous and collaborative computing) • Advanced visualization techniques, virtual environments and prototyping • Applications of AI, knowledge-based systems, computational intelligence, including fuzzy logic, neural networks and evolutionary computations • Application of object-oriented technology to engineering problems • Intelligent human computer interfaces • Design automation, multidisciplinary design and optimization • CAD, CAE and integrated process and product development systems • Quality and reliability.