Shape design for controlling structural displacement distribution in unsteady fluid-structure-interaction

This paper presents a numerical solution for the shape design problem in unsteady fluid-structure-interaction (FSI) fields with viscous flow. The FSI analysis uses a strongly coupled approach based on the Arbitrary Lagrange-Eulerian (ALE) method. The shape design problem is formulated as a shape opt...

Full description

Saved in:
Bibliographic Details
Main Authors: Shota NARUSE, Eiji KATAMINE
Format: Article
Language:English
Published: The Japan Society of Mechanical Engineers 2025-03-01
Series:Mechanical Engineering Journal
Subjects:
Online Access:https://www.jstage.jst.go.jp/article/mej/12/2/12_24-00423/_pdf/-char/en
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1850188401517527040
author Shota NARUSE
Eiji KATAMINE
author_facet Shota NARUSE
Eiji KATAMINE
author_sort Shota NARUSE
collection DOAJ
description This paper presents a numerical solution for the shape design problem in unsteady fluid-structure-interaction (FSI) fields with viscous flow. The FSI analysis uses a strongly coupled approach based on the Arbitrary Lagrange-Eulerian (ALE) method. The shape design problem is formulated as a shape optimization aimed at controlling displacement distribution within a sub-domain of the structural domain. This problem is treated as an inverse problem, where the objective is to minimize the squared error integral between actual and target structural displacement distributions in the sub-domain. The shape gradient for this design problem is theoretically derived using the adjoint variable method and the shape derivative formula. Shape updates are performed using the conventional H1 gradient method, along with a newly proposed iterative H1 gradient method, both of which are approaches to solving the shape optimization problem. A numerical analysis program for this shape design problem was developed using FreeFEM. The validity of the proposed method was confirmed through 2D numerical analysis results.
format Article
id doaj-art-057696361a6643efa3eb97c9d208d9ee
institution OA Journals
issn 2187-9745
language English
publishDate 2025-03-01
publisher The Japan Society of Mechanical Engineers
record_format Article
series Mechanical Engineering Journal
spelling doaj-art-057696361a6643efa3eb97c9d208d9ee2025-08-20T02:15:53ZengThe Japan Society of Mechanical EngineersMechanical Engineering Journal2187-97452025-03-0112224-0042324-0042310.1299/mej.24-00423mejShape design for controlling structural displacement distribution in unsteady fluid-structure-interactionShota NARUSE0Eiji KATAMINE1Advanced Course, National Institute of Technology, Gifu CollegeDepartment of Mechanical Engineering, National Institute of Technology, Gifu CollegeThis paper presents a numerical solution for the shape design problem in unsteady fluid-structure-interaction (FSI) fields with viscous flow. The FSI analysis uses a strongly coupled approach based on the Arbitrary Lagrange-Eulerian (ALE) method. The shape design problem is formulated as a shape optimization aimed at controlling displacement distribution within a sub-domain of the structural domain. This problem is treated as an inverse problem, where the objective is to minimize the squared error integral between actual and target structural displacement distributions in the sub-domain. The shape gradient for this design problem is theoretically derived using the adjoint variable method and the shape derivative formula. Shape updates are performed using the conventional H1 gradient method, along with a newly proposed iterative H1 gradient method, both of which are approaches to solving the shape optimization problem. A numerical analysis program for this shape design problem was developed using FreeFEM. The validity of the proposed method was confirmed through 2D numerical analysis results.https://www.jstage.jst.go.jp/article/mej/12/2/12_24-00423/_pdf/-char/enshape optimizationoptimum designfluid-structure-interactiveadjoint methodh1 gradient methodstructural displacement control
spellingShingle Shota NARUSE
Eiji KATAMINE
Shape design for controlling structural displacement distribution in unsteady fluid-structure-interaction
Mechanical Engineering Journal
shape optimization
optimum design
fluid-structure-interactive
adjoint method
h1 gradient method
structural displacement control
title Shape design for controlling structural displacement distribution in unsteady fluid-structure-interaction
title_full Shape design for controlling structural displacement distribution in unsteady fluid-structure-interaction
title_fullStr Shape design for controlling structural displacement distribution in unsteady fluid-structure-interaction
title_full_unstemmed Shape design for controlling structural displacement distribution in unsteady fluid-structure-interaction
title_short Shape design for controlling structural displacement distribution in unsteady fluid-structure-interaction
title_sort shape design for controlling structural displacement distribution in unsteady fluid structure interaction
topic shape optimization
optimum design
fluid-structure-interactive
adjoint method
h1 gradient method
structural displacement control
url https://www.jstage.jst.go.jp/article/mej/12/2/12_24-00423/_pdf/-char/en
work_keys_str_mv AT shotanaruse shapedesignforcontrollingstructuraldisplacementdistributioninunsteadyfluidstructureinteraction
AT eijikatamine shapedesignforcontrollingstructuraldisplacementdistributioninunsteadyfluidstructureinteraction