Efficient topology optimization of multicomponent structure using substructuring-based model order reduction method

Hyeong Seok Koh, Jun Hwan Kim, Gil Ho Yoon

Research output: Contribution to journalArticle

Abstract

This study develops a novel model reduction (MR) scheme called the multi-substructure multi-frequency quasi-static Ritz vector (MMQSRV) method to compute dynamic responses and sensitivity values with adequate efficiency and accuracy for topology optimization (TO) of dynamic systems with multiple substructures. The calculation of structural responses of dynamic excitation using the framework of the finite element (FE) procedure usually requires a significant amount of computation time. The ever-increasingly complex phenomena of FE models with many degrees of freedom make it difficult to calculate FE responses in the time or frequency domain. To overcome this difficulty, model reduction schemes can be utilized to reduce the size of the dynamic stiffness matrix. This paper presents a new model order reduction method called MMQSRV, based on the quasi-static Ritz vector method, with Krylov subspaces spanned at multiple angular velocities for efficient TO. Through several analysis and design examples, we validate the efficiency and reliability of the model reduction schemes for TO.

Original languageEnglish
Article number106146
JournalComputers and Structures
Volume228
DOIs
StatePublished - 2020 Feb

Fingerprint

Substructuring
Model Order Reduction
Topology Optimization
Model Reduction
Shape optimization
Substructure
Reduction Method
Finite Element
Krylov Subspace
Angular velocity
Stiffness Matrix
Dynamic Response
Finite Element Model
Dynamic Systems
Frequency Domain
Time Domain
Excitation
Degree of freedom
Response Elements
Calculate

Keywords

  • Krylov subspace
  • Model reduction schemes
  • Ritz vector method
  • Substructure design
  • Topology optimization

Cite this

@article{adb83df5a5a645e4ae009db759e18a4e,
title = "Efficient topology optimization of multicomponent structure using substructuring-based model order reduction method",
abstract = "This study develops a novel model reduction (MR) scheme called the multi-substructure multi-frequency quasi-static Ritz vector (MMQSRV) method to compute dynamic responses and sensitivity values with adequate efficiency and accuracy for topology optimization (TO) of dynamic systems with multiple substructures. The calculation of structural responses of dynamic excitation using the framework of the finite element (FE) procedure usually requires a significant amount of computation time. The ever-increasingly complex phenomena of FE models with many degrees of freedom make it difficult to calculate FE responses in the time or frequency domain. To overcome this difficulty, model reduction schemes can be utilized to reduce the size of the dynamic stiffness matrix. This paper presents a new model order reduction method called MMQSRV, based on the quasi-static Ritz vector method, with Krylov subspaces spanned at multiple angular velocities for efficient TO. Through several analysis and design examples, we validate the efficiency and reliability of the model reduction schemes for TO.",
keywords = "Krylov subspace, Model reduction schemes, Ritz vector method, Substructure design, Topology optimization",
author = "Koh, {Hyeong Seok} and Kim, {Jun Hwan} and Yoon, {Gil Ho}",
year = "2020",
month = "2",
doi = "10.1016/j.compstruc.2019.106146",
language = "English",
volume = "228",
journal = "Computers and Structures",
issn = "0045-7949",

}

Efficient topology optimization of multicomponent structure using substructuring-based model order reduction method. / Koh, Hyeong Seok; Kim, Jun Hwan; Yoon, Gil Ho.

In: Computers and Structures, Vol. 228, 106146, 02.2020.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Efficient topology optimization of multicomponent structure using substructuring-based model order reduction method

AU - Koh, Hyeong Seok

AU - Kim, Jun Hwan

AU - Yoon, Gil Ho

PY - 2020/2

Y1 - 2020/2

N2 - This study develops a novel model reduction (MR) scheme called the multi-substructure multi-frequency quasi-static Ritz vector (MMQSRV) method to compute dynamic responses and sensitivity values with adequate efficiency and accuracy for topology optimization (TO) of dynamic systems with multiple substructures. The calculation of structural responses of dynamic excitation using the framework of the finite element (FE) procedure usually requires a significant amount of computation time. The ever-increasingly complex phenomena of FE models with many degrees of freedom make it difficult to calculate FE responses in the time or frequency domain. To overcome this difficulty, model reduction schemes can be utilized to reduce the size of the dynamic stiffness matrix. This paper presents a new model order reduction method called MMQSRV, based on the quasi-static Ritz vector method, with Krylov subspaces spanned at multiple angular velocities for efficient TO. Through several analysis and design examples, we validate the efficiency and reliability of the model reduction schemes for TO.

AB - This study develops a novel model reduction (MR) scheme called the multi-substructure multi-frequency quasi-static Ritz vector (MMQSRV) method to compute dynamic responses and sensitivity values with adequate efficiency and accuracy for topology optimization (TO) of dynamic systems with multiple substructures. The calculation of structural responses of dynamic excitation using the framework of the finite element (FE) procedure usually requires a significant amount of computation time. The ever-increasingly complex phenomena of FE models with many degrees of freedom make it difficult to calculate FE responses in the time or frequency domain. To overcome this difficulty, model reduction schemes can be utilized to reduce the size of the dynamic stiffness matrix. This paper presents a new model order reduction method called MMQSRV, based on the quasi-static Ritz vector method, with Krylov subspaces spanned at multiple angular velocities for efficient TO. Through several analysis and design examples, we validate the efficiency and reliability of the model reduction schemes for TO.

KW - Krylov subspace

KW - Model reduction schemes

KW - Ritz vector method

KW - Substructure design

KW - Topology optimization

UR - http://www.scopus.com/inward/record.url?scp=85075113100&partnerID=8YFLogxK

U2 - 10.1016/j.compstruc.2019.106146

DO - 10.1016/j.compstruc.2019.106146

M3 - Article

AN - SCOPUS:85075113100

VL - 228

JO - Computers and Structures

JF - Computers and Structures

SN - 0045-7949

M1 - 106146

ER -