Eigenvalue topology optimization via efficient multilevel solution of the frequency response: Eigenvalue topology optimization

Federico Ferrari; Boyan S. Lazarov; Ole Sigmund

doi:10.1002/nme.5829

Eigenvalue topology optimization via efficient multilevel solution of the frequency response: Eigenvalue topology optimization

Federico Ferrari^*, Boyan S. Lazarov, Ole Sigmund

^*Corresponding author for this work

Research output: Contribution to journal › Journal article › Research › peer-review

161 Downloads (Pure)

Abstract

The article presents an efficient solution method for structural topology optimization aimed at maximizing the fundamental frequency of vibration. Nowadays, this is still a challenging problem mainly because of the high computational cost required by spectral analyses. The proposed method relies on replacing the eigenvalue problem with a frequency response one, which can be tuned and efficiently solved by a multilevel procedure. Connections of the method with multigrid eigenvalue solvers are discussed in details. Several applications demonstrating more than 90% savings of the computational time are presented as well.

Original language	English
Journal	International Journal for Numerical Methods in Engineering
Volume	115
Issue number	7
Pages (from-to)	872-892
Number of pages	21
ISSN	0029-5981
DOIs	https://doi.org/10.1002/nme.5829
Publication status	Published - 2018

Keywords

Eigenvalue optimization
Fast solvers
Large‐scale problems
Topology optimization
Vibrations

Access to Document

10.1002/nme.5829

Ferrari etal IJNMEAccepted author manuscript, 6.13 MB

Projects

1 Active

InnoTop: InnoTop, Interactive, Non-Linear, High-Resolution Topology Optimization

Sigmund, O., Carlberg, L. K., Aage, N., Andreasen, C. S., Wang, F. & Bærentzen, J. A.

01/09/2017 → 31/08/2023

Project: Research

Cite this

Ferrari, F., Lazarov, B. S., & Sigmund, O. (2018). Eigenvalue topology optimization via efficient multilevel solution of the frequency response: Eigenvalue topology optimization. International Journal for Numerical Methods in Engineering, 115(7), 872-892. https://doi.org/10.1002/nme.5829

@article{c7d293cc3a014c9485b5ec0a8abbcaf3,

title = "Eigenvalue topology optimization via efficient multilevel solution of the frequency response: Eigenvalue topology optimization",

abstract = "The article presents an efficient solution method for structural topology optimization aimed at maximizing the fundamental frequency of vibration. Nowadays, this is still a challenging problem mainly because of the high computational cost required by spectral analyses. The proposed method relies on replacing the eigenvalue problem with a frequency response one, which can be tuned and efficiently solved by a multilevel procedure. Connections of the method with multigrid eigenvalue solvers are discussed in details. Several applications demonstrating more than 90% savings of the computational time are presented as well.",

keywords = "Eigenvalue optimization, Fast solvers, Large‐scale problems, Topology optimization, Vibrations",

author = "Federico Ferrari and Lazarov, {Boyan S.} and Ole Sigmund",

year = "2018",

doi = "10.1002/nme.5829",

language = "English",

volume = "115",

pages = "872--892",

journal = "International Journal for Numerical Methods in Engineering",

issn = "0029-5981",

publisher = "JohnWiley & Sons Ltd.",

number = "7",

}

Eigenvalue topology optimization via efficient multilevel solution of the frequency response : Eigenvalue topology optimization. / Ferrari, Federico; Lazarov, Boyan S.; Sigmund, Ole.

In: International Journal for Numerical Methods in Engineering, Vol. 115, No. 7, 2018, p. 872-892.

Research output: Contribution to journal › Journal article › Research › peer-review

TY - JOUR

T1 - Eigenvalue topology optimization via efficient multilevel solution of the frequency response

T2 - Eigenvalue topology optimization

AU - Ferrari, Federico

AU - Lazarov, Boyan S.

AU - Sigmund, Ole

PY - 2018

Y1 - 2018

N2 - The article presents an efficient solution method for structural topology optimization aimed at maximizing the fundamental frequency of vibration. Nowadays, this is still a challenging problem mainly because of the high computational cost required by spectral analyses. The proposed method relies on replacing the eigenvalue problem with a frequency response one, which can be tuned and efficiently solved by a multilevel procedure. Connections of the method with multigrid eigenvalue solvers are discussed in details. Several applications demonstrating more than 90% savings of the computational time are presented as well.

AB - The article presents an efficient solution method for structural topology optimization aimed at maximizing the fundamental frequency of vibration. Nowadays, this is still a challenging problem mainly because of the high computational cost required by spectral analyses. The proposed method relies on replacing the eigenvalue problem with a frequency response one, which can be tuned and efficiently solved by a multilevel procedure. Connections of the method with multigrid eigenvalue solvers are discussed in details. Several applications demonstrating more than 90% savings of the computational time are presented as well.

KW - Eigenvalue optimization

KW - Fast solvers

KW - Large‐scale problems

KW - Topology optimization

KW - Vibrations

U2 - 10.1002/nme.5829

DO - 10.1002/nme.5829

M3 - Journal article

VL - 115

SP - 872

EP - 892

JO - International Journal for Numerical Methods in Engineering

JF - International Journal for Numerical Methods in Engineering

SN - 0029-5981

IS - 7

ER -