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