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Model reduction for constrained mechanical systems via spectral submanifolds

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Bibliographic Details
Main Authors: Mingwu, Li, Shobhit, Jain, George, Haller
Format: Book
Language:English
Published: Springer 2023
Subjects:
ROMs
SSM-based ROMs
Online Access:https://link.springer.com/article/10.1007/s11071-023-08300-5
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7989
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spelling oai:localhost:PNK-79892023-04-17T04:22:01Z Model reduction for constrained mechanical systems via spectral submanifolds Mingwu, Li Shobhit, Jain George, Haller ROMs SSM-based ROMs CC BY Dynamical systems are often subject to algebraic constraints in conjunction with their governing ordinary differential equations. In particular, multibody systems are commonly subject to configuration constraints that define kinematic compatibility between the motion of different bodies. A full-scale numerical simulation of such constrained problems is challenging, making reduced-order models (ROMs) of paramount importance. In this work, we show how to use spectral submanifolds (SSMs) to construct rigorous ROMs for mechanical systems with configuration constraints. These SSM-based ROMs enable the direct extraction of backbone curves and forced response curves and facilitate efficient bifurcation analysis. We demonstrate the effectiveness of this SSM-based reduction procedure on several examples of varying complexity, including nonlinear finite-element models of multibody systems. 2023-04-17T04:22:01Z 2023-04-17T04:22:01Z 2023 Book https://link.springer.com/article/10.1007/s11071-023-08300-5 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7989 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic ROMs
SSM-based ROMs
spellingShingle ROMs
SSM-based ROMs
Mingwu, Li
Shobhit, Jain
George, Haller
Model reduction for constrained mechanical systems via spectral submanifolds
description CC BY
format Book
author Mingwu, Li
Shobhit, Jain
George, Haller
author_facet Mingwu, Li
Shobhit, Jain
George, Haller
author_sort Mingwu, Li
title Model reduction for constrained mechanical systems via spectral submanifolds
title_short Model reduction for constrained mechanical systems via spectral submanifolds
title_full Model reduction for constrained mechanical systems via spectral submanifolds
title_fullStr Model reduction for constrained mechanical systems via spectral submanifolds
title_full_unstemmed Model reduction for constrained mechanical systems via spectral submanifolds
title_sort model reduction for constrained mechanical systems via spectral submanifolds
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s11071-023-08300-5
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7989
_version_ 1763452659795230720
score 8.887836

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