Analytical relationships for imposing minimum length scale inthe robust Topology Optimization formulation

Trillet, Denis; Duysinx, Pierre; Fernandez Sanchez, Eduardo Felipe

doi:10.1007/s00158-021-02998-w

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Analytical relationships for imposing minimum length scale inthe robust Topology Optimization formulation

Trillet, Denis; Duysinx, Pierre; Fernandez Sanchez, Eduardo Felipe

2021 • In Structural and Multidisciplinary Optimization, 64, p. 2429–2448

Peer Reviewed verified by ORBi

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https://hdl.handle.net/2268/261997

DOI
10.1007/s00158-021-02998-w

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Keywords :

Robust Design; Length Scale; SIMP

Abstract :

[en] When using the robust topology optimization formulation in the density framework, the minimum size of the solid and void phases must be imposed implicitly through the parameters that define the density filter and the smoothed Heaviside projection. Finding these parameters can be time consuming and cumbersome, hindering a general code implementation of the robust formulation. Motivated by this issue, in this article we provide analytical expressions that explicitly relate the minimum length scale and the parameters that define it. The expressions are validated on a density-based framework. To facilitate the reproduction of results, MATLAB codes are provided.

Disciplines :

Mechanical engineering

Author, co-author :

Trillet, Denis ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Ingénierie des véhicules terrestres

Duysinx, Pierre ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Ingénierie des véhicules terrestres

Fernandez Sanchez, Eduardo Felipe ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS-Mécanique numérique non linéaire

Language :

English

Title :

Analytical relationships for imposing minimum length scale inthe robust Topology Optimization formulation

Publication date :

2021

Journal title :

Structural and Multidisciplinary Optimization

ISSN :

1615-147X

eISSN :

1615-1488

Publisher :

Springer, Germany

Volume :

Pages :

2429–2448

Peer reviewed :

Peer Reviewed verified by ORBi

Funders :

INTERREG V A Grande Region and the EuropeanRegional Development Fund (ERDF)

Available on ORBi :

since 13 July 2021

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