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Kane’s Equations for Nonholonomic Systems in Bond-Graph-Compatible Velocity and Momentum Forms

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Link to refer to this document:
10.3311/ECCOMASMBD2021-171
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  • ECCOMAS Multibody Dynamics Conference 2021 [40]
Abstract
The authors’ previously published results on a nonholonomic momentum form of Kane’s equations are extended from scleronomic to rheonomic systems. The momentum form is found to be partially Hamiltonian, and a new velocity form is found that is partially Lagrangian. The results are derived for general particle systems, and then specialized to rigid-body systems. Except for externally constrained velocities, all system matrices are independent of time, making the results power-conserving, and suitable for use with bond graphs. A new nonholonomic IC (NIC) bond-graph element is defined, and bond graphs for the new results are exhibited using this element
Title
Kane’s Equations for Nonholonomic Systems in Bond-Graph-Compatible Velocity and Momentum Forms
Author
Phillips, James R.
Amirouche, Farid
Date of issue
2021
Access level
Open access
Copyright owner
Budapest University of Technology and Economics
Conference title
ECCOMAS Thematic Conference on Multibody Dynamics
Conference place
Online
Conference date
2021.12.12-2021.12.15
Language
en
Page
212 - 223
Subject
Kane’s equations, bond graph, NIC element, partially Hamiltonian, partially Lagrangian
Identifiers
DOI: 10.3311/ECCOMASMBD2021-171
Title of the container document
Proceedings of the 10th ECCOMAS Thematic Conference on MULTIBODY DYNAMICS
ISSN, e-ISSN
978-963-421-870-28
Document type
könyvfejezet
Document genre
Konferenciacikk
University
Budapesti Műszaki és Gazdaságtudományi Egyetem
Department
Műszaki Mechanikai Tanszék

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