TOP2DFVT: An Efficient Matlab Implementation for Topology Optimization based on the Finite-Volume Theory.

Q2 Pharmacology, Toxicology and Pharmaceutics F1000Research Pub Date : 2024-10-22 eCollection Date: 2024-01-01 DOI:10.12688/f1000research.150945.2
Marcelo Araujo, Arnaldo Santos Júnior, Romildo Escarpini Filho, Eduardo Lages, Marcio Cavalcante
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Abstract

The finite-volume theory has shown to be numerically efficient and stable for topology optimization of continuum elastic structures. The significant features of this numerical technique are the local satisfaction of equilibrium equations and the employment of compatibility conditions along edges in a surface-averaged sense. These are essential properties to adequately mitigate some numerical instabilities in the gradient version of topology optimization algorithms, such as checkerboard, mesh dependence, and local minima issues. Several computational tools have been proposed for topology optimization employing analysis domains discretized with essential features for finite-element approaches. However, this is the first contribution to offer a platform to generate optimized topologies by employing a Matlab code based on the finite-volume theory for compliance minimization problems. The Top2DFVT provides a platform to perform 2D topology optimization of structures in Matlab, from domain initialization for structured meshes to data post-processing. This contribution represents a significant advancement over earlier publications on topology optimization based on the finite-volume theory, which needed more efficient computational tools. Moreover, the Top2DFVT algorithm incorporates SIMP and RAMP material interpolation schemes alongside sensitivity and density filtering techniques, culminating in a notably enhanced optimization tool. The application of this algorithm to various illustrative cases confirms its efficacy and underscores its potential for advancing the field of structural optimization.

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TOP2DFVT:基于有限体积理论的拓扑优化的高效 Matlab 实现。
有限体积理论对于连续弹性结构的拓扑优化具有数值上的高效性和稳定性。这种数值技术的显著特点是局部满足平衡方程,并在表面平均意义上沿边缘采用相容性条件。这些基本特性可充分缓解拓扑优化算法梯度版本中的一些数值不稳定性,如棋盘格、网格依赖性和局部最小值问题。针对拓扑优化提出了几种计算工具,采用的分析域离散化具有有限元方法的基本特征。然而,这是第一个基于有限体积理论的 Matlab 代码为顺应性最小化问题提供生成优化拓扑的平台。Top2DFVT 提供了一个在 Matlab 中执行结构二维拓扑优化的平台,从结构网格的域初始化到数据后处理。与早期发表的基于有限体积理论的拓扑优化相比,这一贡献是一个重大进步,因为早期的拓扑优化需要更高效的计算工具。此外,Top2DFVT 算法结合了 SIMP 和 RAMP 材料插值方案以及灵敏度和密度过滤技术,最终形成了一个显著增强的优化工具。该算法在各种示例中的应用证实了它的功效,并强调了它在推进结构优化领域发展方面的潜力。
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来源期刊
F1000Research
F1000Research Pharmacology, Toxicology and Pharmaceutics-Pharmacology, Toxicology and Pharmaceutics (all)
CiteScore
5.00
自引率
0.00%
发文量
1646
审稿时长
1 weeks
期刊介绍: F1000Research publishes articles and other research outputs reporting basic scientific, scholarly, translational and clinical research across the physical and life sciences, engineering, medicine, social sciences and humanities. F1000Research is a scholarly publication platform set up for the scientific, scholarly and medical research community; each article has at least one author who is a qualified researcher, scholar or clinician actively working in their speciality and who has made a key contribution to the article. Articles must be original (not duplications). All research is suitable irrespective of the perceived level of interest or novelty; we welcome confirmatory and negative results, as well as null studies. F1000Research publishes different type of research, including clinical trials, systematic reviews, software tools, method articles, and many others. Reviews and Opinion articles providing a balanced and comprehensive overview of the latest discoveries in a particular field, or presenting a personal perspective on recent developments, are also welcome. See the full list of article types we accept for more information.
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