| Tartalom: |
https://cyber.bibl.u-szeged.hu/index.php/actcybern/article/view/4063 |
| Archívum: |
Acta Cybernetica |
| Gyűjtemény: |
Uncertainty Modeling, Software, Verified Computing and Optimization
|
| Cím: |
Another Multibody Dynamics in Natural Coordinates through Automatic Differentiation and High-Index DAE Solving
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| Létrehozó: |
Pryce, John D
Nedialkov, Nedialko
|
| Kiadó: |
University of Szeged, Institute of Informatics
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| Dátum: |
2020-03-16
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| Téma: |
Lagrangian mechanics
differential-algebraic equations
natural coordinates
simulation
algorithmic differentiation
YAML
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| Tartalmi leírás: |
The Natural Coordinates (NCs) method for Lagrangian modelling and simulation of multi-body systems is valued for giving simple, sparse models. We describe our version of it (NPNCs) and compare with the classical ap- proach of Jalón and Bayo (JBNCs). NPNCs use the high-index differential- algebraic equation solver DAETS. Algorithmic differentiation, not symbolic algebra, forms the equations of motion from the Lagrangian. NPNCs give significantly smaller equation systems than JBNCs, at the cost of a non- constant mass matrix for fully 3D models—a minor downside in the DAETS context. A 2D and a 3D example are presented, with numerical results.
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| Nyelv: |
angol
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| Típus: |
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
|
| Formátum: |
application/pdf
|
| Azonosító: |
10.14232/actacyb.24.3.2020.4
|
| Forrás: |
Acta Cybernetica; Vol 24 No 3 (2020): Special Issue of the 11th Summer Workshop on Interval Methods; 315-341
2676-993X
0324-721X
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| Kapcsolat: |
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