Development and evaluation of a Novel strain-based rectangular membrane element for static and free vibration analysis

Randa Bourenane, Sifeddine Abderrahmani, Abdulrahman M. AL-Nadhari
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Abstract

This study introduces the Strain-based Rectangular Quadrilateral In-plane Element (SBRQIE), a newly developed membrane element designed for structural analysis applications, including static and free vibration scenarios. The SBRQIE incorporates three degrees of freedom per node—two translational and one rotational—enhancing flexibility and accuracy. Comparative analyses with established finite elements demonstrate the superior performance of the SBRQIE across various configurations, including rectangular, parallelogram, and trapezoidal meshes. The results confirm exceptional accuracy in deflection and frequency predictions, robust convergence with mesh refinement, and resilience against mesh distortions. The SBRQIE element’s efficiency in handling complex geometries, irregular meshes, and diverse boundary conditions establishes it as a reliable computational tool for advanced structural analysis.

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本研究介绍了基于应变的矩形四边形面内元素(SBRQIE),这是一种新开发的膜元素,设计用于结构分析应用,包括静态和自由振动场景。SBRQIE 每个节点具有三个自由度--两个平移自由度和一个旋转自由度--从而提高了灵活性和准确性。与现有有限元的对比分析表明,SBRQIE 在矩形、平行四边形和梯形网格等各种配置下都具有卓越的性能。结果证实,SBRQIE 在挠度和频率预测方面具有极高的准确性,在网格细化方面具有很强的收敛性,并能抵御网格畸变。SBRQIE 元素在处理复杂几何形状、不规则网格和各种边界条件方面的高效性,使其成为先进结构分析的可靠计算工具。
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来源期刊
Asian Journal of Civil Engineering
Asian Journal of Civil Engineering Engineering-Civil and Structural Engineering
CiteScore
2.70
自引率
0.00%
发文量
121
期刊介绍: The Asian Journal of Civil Engineering (Building and Housing) welcomes articles and research contributions on topics such as:- Structural analysis and design - Earthquake and structural engineering - New building materials and concrete technology - Sustainable building and energy conservation - Housing and planning - Construction management - Optimal design of structuresPlease note that the journal will not accept papers in the area of hydraulic or geotechnical engineering, traffic/transportation or road making engineering, and on materials relevant to non-structural buildings, e.g. materials for road making and asphalt.  Although the journal will publish authoritative papers on theoretical and experimental research works and advanced applications, it may also feature, when appropriate:  a) tutorial survey type papers reviewing some fields of civil engineering; b) short communications and research notes; c) book reviews and conference announcements.
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