Model reduction for constrained mechanical systems via spectral submanifolds
CC BY
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| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s11071-023-08300-5 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7989 |
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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 |