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网格密度对复杂物体有限元分析结果的影响

The Influence of Mesh Density on the Results Obtained by Finite Element Analysis of Complex Bodies.

作者信息

Pisarciuc Cristian, Dan Ioan, Cioară Romeo

机构信息

Department of Engineering and Industrial Management, Transilvania University of Brasov, 500036 Brasov, Romania.

出版信息

Materials (Basel). 2023 Mar 23;16(7):2555. doi: 10.3390/ma16072555.

Abstract

Finite element analysis of complex bodies is frequently used in design to determine the size of deformations. Successive iterations, with progressive refinement of mesh densities, are most often required to obtain a sufficiently accurate convergent numerical solution. This process is costly, time consuming, and requires superior hardware and software. The paper presents a quick and effortless way to determine a sufficiently accurate value of the numerical solution. The mentioned solution is obtained by amending the numerical solution resulting for a certain value of the mesh density of the studied body with an adequate proportionality coefficient determined following the deformation study of simple bodies differently subject to external forces. It is assumed that the elastic displacement of the various bodies has a similar evolution as the mesh density increases and that the values of the proportionality coefficients considered are approximately equal for identical mesh densities. Examples presented are related to the reference body of the mechanical press PAI 25.

摘要

复杂物体的有限元分析在设计中经常用于确定变形量。通常需要进行连续迭代,并逐步细化网格密度,以获得足够精确的收敛数值解。这个过程成本高昂、耗时,并且需要高性能的硬件和软件。本文提出了一种快速简便的方法来确定数值解的足够精确值。上述解是通过用一个适当的比例系数修正针对研究物体特定网格密度值得到的数值解而获得的,该比例系数是在对不同外力作用下的简单物体进行变形研究后确定的。假设随着网格密度增加,各种物体的弹性位移具有相似的变化趋势,并且对于相同的网格密度,所考虑的比例系数值近似相等。给出的示例与机械压力机PAI 25的参考体有关。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6d78/10095012/0da0db45807e/materials-16-02555-g001.jpg

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