Nonintrusive Nonlinear Reduced Order Models for Structures in Large Deformations: Validations to Atypical Structures and Basis Construction Aspects

The focus of this investigation is on reduced order models (ROMs) of the nonlinear geometric response of structures that are built nonintrusively, i.e., from standard outputs of commercial finite element codes. Several structures with atypical loading, boundary conditions, or geometry are considered...

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Main Authors: Xiaoquan Wang, Ricardo A. Perez, Bret Wainwright, Yuting Wang, Marc P. Mignolet
Format: Article
Language:English
Published: MDPI AG 2022-01-01
Series:Vibration
Subjects:
Online Access:https://www.mdpi.com/2571-631X/5/1/2
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author Xiaoquan Wang
Ricardo A. Perez
Bret Wainwright
Yuting Wang
Marc P. Mignolet
author_facet Xiaoquan Wang
Ricardo A. Perez
Bret Wainwright
Yuting Wang
Marc P. Mignolet
author_sort Xiaoquan Wang
collection DOAJ
description The focus of this investigation is on reduced order models (ROMs) of the nonlinear geometric response of structures that are built nonintrusively, i.e., from standard outputs of commercial finite element codes. Several structures with atypical loading, boundary conditions, or geometry are considered to not only support the broad applicability of these ROMs but also to exemplify the different steps involved in determining an appropriate basis for the response. This basis is formed here as a combination of linear vibration modes and dual modes, and some of the steps involved follow prior work; others are novel aspects, all of which are covered in significant detail to minimize the expertise needed to develop these ROMs. The comparisons of the static and dynamic responses of these structures predicted by the ROMs and by the underlying finite element models demonstrate the high accuracy that can be achieved with the ROMs, even in the presence of significant nonlinearity.
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spelling doaj.art-7e23c256399a418da8ef89896f176e9f2023-11-30T22:44:50ZengMDPI AGVibration2571-631X2022-01-0151205810.3390/vibration5010002Nonintrusive Nonlinear Reduced Order Models for Structures in Large Deformations: Validations to Atypical Structures and Basis Construction AspectsXiaoquan Wang0Ricardo A. Perez1Bret Wainwright2Yuting Wang3Marc P. Mignolet4SEMTE Faculties of Mechanical and Aerospace Engineering, Arizona State University, Tempe, AZ 85287, USAAFRL/RQHF Structural Sciences Center, Air Force Research Laboratory, Wright Patterson AFB, Dayton, OH 45433, USASEMTE Faculties of Mechanical and Aerospace Engineering, Arizona State University, Tempe, AZ 85287, USAAssembly & Test Technology Development, Intel Corp., Chandler, AZ 85226, USASEMTE Faculties of Mechanical and Aerospace Engineering, Arizona State University, Tempe, AZ 85287, USAThe focus of this investigation is on reduced order models (ROMs) of the nonlinear geometric response of structures that are built nonintrusively, i.e., from standard outputs of commercial finite element codes. Several structures with atypical loading, boundary conditions, or geometry are considered to not only support the broad applicability of these ROMs but also to exemplify the different steps involved in determining an appropriate basis for the response. This basis is formed here as a combination of linear vibration modes and dual modes, and some of the steps involved follow prior work; others are novel aspects, all of which are covered in significant detail to minimize the expertise needed to develop these ROMs. The comparisons of the static and dynamic responses of these structures predicted by the ROMs and by the underlying finite element models demonstrate the high accuracy that can be achieved with the ROMs, even in the presence of significant nonlinearity.https://www.mdpi.com/2571-631X/5/1/2reduced order modelingnonlinear geometricbasis functionsvalidationsstructural dynamics
spellingShingle Xiaoquan Wang
Ricardo A. Perez
Bret Wainwright
Yuting Wang
Marc P. Mignolet
Nonintrusive Nonlinear Reduced Order Models for Structures in Large Deformations: Validations to Atypical Structures and Basis Construction Aspects
Vibration
reduced order modeling
nonlinear geometric
basis functions
validations
structural dynamics
title Nonintrusive Nonlinear Reduced Order Models for Structures in Large Deformations: Validations to Atypical Structures and Basis Construction Aspects
title_full Nonintrusive Nonlinear Reduced Order Models for Structures in Large Deformations: Validations to Atypical Structures and Basis Construction Aspects
title_fullStr Nonintrusive Nonlinear Reduced Order Models for Structures in Large Deformations: Validations to Atypical Structures and Basis Construction Aspects
title_full_unstemmed Nonintrusive Nonlinear Reduced Order Models for Structures in Large Deformations: Validations to Atypical Structures and Basis Construction Aspects
title_short Nonintrusive Nonlinear Reduced Order Models for Structures in Large Deformations: Validations to Atypical Structures and Basis Construction Aspects
title_sort nonintrusive nonlinear reduced order models for structures in large deformations validations to atypical structures and basis construction aspects
topic reduced order modeling
nonlinear geometric
basis functions
validations
structural dynamics
url https://www.mdpi.com/2571-631X/5/1/2
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AT ricardoaperez nonintrusivenonlinearreducedordermodelsforstructuresinlargedeformationsvalidationstoatypicalstructuresandbasisconstructionaspects
AT bretwainwright nonintrusivenonlinearreducedordermodelsforstructuresinlargedeformationsvalidationstoatypicalstructuresandbasisconstructionaspects
AT yutingwang nonintrusivenonlinearreducedordermodelsforstructuresinlargedeformationsvalidationstoatypicalstructuresandbasisconstructionaspects
AT marcpmignolet nonintrusivenonlinearreducedordermodelsforstructuresinlargedeformationsvalidationstoatypicalstructuresandbasisconstructionaspects