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Sensitivity analysis of key formulations of topology optimization on an example of cantilever bending beam
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SYSNO ASEP 0542249 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Sensitivity analysis of key formulations of topology optimization on an example of cantilever bending beam Author(s) Šotola, Martin (UT-L)
Maršálek, Pavel (UT-L)
Rybanský, David (UT-L)
Fusek, M. (CZ)
Gabriel, Dušan (UT-L) RID, ORCIDNumber of authors 5 Article number 712 Source Title Symmetry-Basel. - : MDPI
Roč. 13, č. 4 (2021)Number of pages 25 s. Publication form Online - E Language eng - English Country CH - Switzerland Keywords topology optimization ; optimization ; filtering ; method ; penalization ; weight factor ; FEM ; MATLAB ; SIMP Subject RIV JR - Other Machinery OECD category Applied mechanics R&D Projects EF15_003/0000493 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) TN01000024 GA TA ČR - Technology Agency of the Czech Republic (TA ČR) Method of publishing Open access Institutional support UT-L - RVO:61388998 UT WOS 000643656900001 EID SCOPUS 85105108689 DOI 10.3390/sym13040712 Annotation Topology optimization is a modern method for optimizing the material distribution ina given space, automatically searching for the ideal design of the product. The method aims tomaximize the design performance of the system regarding given conditions. In engineering practice,a given space is first described using the finite element method and, subsequently, density-basedmethod with solid isotropic material with penalty. Then, the final shape is found using a gradient-based method, such as the optimality criteria algorithm. However, obtaining the ideal shape is highlydependent on the correct setting of numerical parameters. This paper focuses on the sensitivityanalysis of key formulations of topology optimization using the implementation of mathematicalprogramming techniques in MATLAB software. For the purposes of the study, sensitivity analysis ofa simple spatial task—cantilever bending—is performed. This paper aims to present the formulationsof the optimization problem—in this case, minimization of compliance. It should be noted that thispaper does not present any new mathematical formulas but rather provides an introduction intothe mathematical theory (including filtering methods and calculating large-size problems using thesymmetry of matrices) as well as a step-by step guideline for the minimization of compliance withinthe density-based topology optimization and search for an optimal shape. The results can be used forcomplex commercial applications produced by traditional manufacturing processes or by additivemanufacturing methods Workplace Institute of Thermomechanics Contact Marie Kajprová, kajprova@it.cas.cz, Tel.: 266 053 154 ; Jana Lahovská, jaja@it.cas.cz, Tel.: 266 053 823 Year of Publishing 2022 Electronic address https://www.mdpi.com/2073-8994/13/4/712
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