Geometric dimensionality control of structural components in topology optimization

Author:

Gerzen NikolaiORCID,Mertins Thorsten,Pedersen Claus B. W.

Abstract

AbstractThe present contribution derives a theoretical framework for constructing novel geometrical constraints in the context of density-based topology optimization. Principally, the predefined geometrical dimensionality is enforced locally on the components of the optimized structures. These constraints are defined using the principal values (singular values) from a singular value decomposition of points clouds represented by elemental centroids and the corresponding relative density design variables. The proposed approach is numerically implemented for demonstrating the designing of lattice or membrane-like structures. Several numerical examples confirm the validity of the derived theoretical framework for geometric dimensionality control.

Funder

Technische Hochschule Ostwestfalen-Lippe

Publisher

Springer Science and Business Media LLC

Subject

Control and Optimization,Computer Graphics and Computer-Aided Design,Computer Science Applications,Control and Systems Engineering,Software

Reference33 articles.

1. Bendsøe MP, Sigmund O (2004) Topology optimization—theory, methods, and applications. Springer-Verlag, Berlin

2. Bruggi M (2008) On an alternative approach to stress constraints relaxation in topology optimization. Struct Multidisc Optim 36(2):125–141. https://doi.org/10.1007/s00158-007-0203-6

3. Carstensen JV, Guest JK (2018) Projection-based two-phase minimum and maximum length scale control in topology optimization. Struct Multidisc Optim 58:1845–1860

4. Dassault Systèmes: SIMULIA Abaqus Documentation, version 2022x edn. (2021a)

5. Dassault Systèmes: SIMULIA Tosca Structure Documentation, version 2022x edn. (2021b)

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