8-Node Quadrilateral Matlab Code for Finite Element Analysis

Akashay Kumar, Akash Paliwal, Mukul Gaur, Mani R. Gupta, N. Jain
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Abstract

The purpose to this work to provide mathematical approach to developed MATLAB code for 8-node quadrilateral element for finite element analysis of 2-D structure to improve accuracy in results. In present investigation 8-node quadrilateral element MATLAB code is proposed for structural analysis of 2-D Isotropic elastic structures. The meshing of cantilever beam is done with 8-node elements which are subjected to static loading condition. In this paper MATLAB code is implemented on cantilever beam and the result obtained is also validated with ANSYS software. Moreover, this code can also be modified for Messerschmitt-Bolkow-Beam and complete MATLAB code is also presented in appendix. The developed MATLAB code can universally adopted for other analysis such as topological optimization, thermal analysis, dynamic loading condition etc.
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8节点四边形有限元分析Matlab代码
本工作的目的是为开发用于二维结构有限元分析的8节点四边形单元的MATLAB代码提供数学途径,以提高结果的准确性。本文提出了用于二维各向同性弹性结构分析的8节点四边形单元MATLAB程序。采用静载条件下的8节点单元对悬臂梁进行网格划分。本文对悬臂梁进行了MATLAB代码实现,并用ANSYS软件对所得结果进行了验证。此外,该代码还可以对Messerschmitt-Bolkow-Beam进行修改,并在附录中提供了完整的MATLAB代码。所开发的MATLAB代码可普遍用于拓扑优化、热分析、动载荷工况等分析。
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