Polygonal plate element method for free vibration analysis using an efficient alpha (α)-assumed rotations and shear strains

IF 4 2区工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Advances in Engineering Software Pub Date : 2024-10-03 DOI:10.1016/j.advengsoft.2024.103785

Tiendung Vu , Son H. Nguyen

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引用次数: 0

Abstract

This paper investigates the performance of a recently proposed polygonal plate element with alpha (α)-assumed rotations and shear strains, referred to as αARS-Poly, in free vibration analysis. The αARS-Poly element utilizes a simple and efficient approach involving a scaling factor (α) to enhance the accuracy of assumed rotations and shear strains. To fully explore the advantages of this element, we undertake a comprehensive analysis of free vibration in plate structures using a range of models with complex geometries. Numerical results demonstrate that the αARS-Poly element offers stability and reliability within smooth mode shapes. Furthermore, it significantly outperforms the previous polygonal Reissner-Mindlin plate element with piecewise-linear shape functions (PRMn-PL), achieving frequencies that closely match reference solutions, thereby validating its accuracy and robustness for dynamic applications.

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使用高效阿尔法（α）假定旋转和剪切应变的多边形板元素法进行自由振动分析

本文研究了最近提出的具有α（α）假定旋转和剪切应变的多边形板元素（简称为αARS-Poly）在自由振动分析中的性能。αARS-Poly 元素采用了一种简单而有效的方法，通过缩放因子 (α)来提高假定旋转和剪切应变的精度。为了充分探索该元素的优势，我们使用一系列具有复杂几何形状的模型对板结构的自由振动进行了全面分析。数值结果表明，αARS-Poly 元素在平滑模态振型内具有稳定性和可靠性。此外，它的性能明显优于之前的具有片断线性形状函数（PRMn-PL）的多边形 Reissner-Mindlin 板元素，其频率与参考解非常接近，从而验证了其在动态应用中的准确性和稳健性。

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.