Sensitivity Analysis of Key Formulations of Topology Optimization on an Example of Cantilever Bending Beam

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27230%2F21%3A10247440" target="_blank" >RIV/61989100:27230/21:10247440 - isvavai.cz</a>

Alternative codes found

RIV/61388998:_____/21:00542249

Result on the web

<a href="https://www.mdpi.com/2073-8994/13/4/712" target="_blank" >https://www.mdpi.com/2073-8994/13/4/712</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/sym13040712" target="_blank" >10.3390/sym13040712</a>

Result language

angličtina

Original language name

Sensitivity Analysis of Key Formulations of Topology Optimization on an Example of Cantilever Bending Beam

Original language description

Topology optimization is a modern method for optimizing the material distribution in a given space, automatically searching for the ideal design of the product. The method aims to maximize 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-based method 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 highly dependent on the correct setting of numerical parameters. This paper focuses on the sensitivity analysis of key formulations of topology optimization using the implementation of mathematical programming techniques in MATLAB software. For the purposes of the study, sensitivity analysis of a simple spatial task-cantilever bending-is performed. This paper aims to present the formulations of the optimization problem-in this case, minimization of compliance. It should be noted that this paper does not present any new mathematical formulas but rather provides an introduction into the mathematical theory (including filtering methods and calculating large-size problems using the symmetry of matrices) as well as a step-by step guideline for the minimization of compliance within the density-based topology optimization and search for an optimal shape. The results can be used for complex commercial applications produced by traditional manufacturing processes or by additive manufacturing methods.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

20302 - Applied mechanics

Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2021

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Symmetry

ISSN

2073-8994

e-ISSN

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Volume of the periodical

13

Issue of the periodical within the volume

4

Country of publishing house

CH - SWITZERLAND

Number of pages

25

Pages from-to

1-25

UT code for WoS article

000643656900001

EID of the result in the Scopus database

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