Geometric Kinematics of Point Contact
This paper applies Darboux frame method to developing geometric kinematics of sliding-spin-rolling motion of rigid objects with point contact. For the first time, the geodesic curvatures, normal curvatures and geodesic torsions of both the sliding motion and rolling motion are derived in terms of kn...
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| Other Authors: | |
| Format: | Book Chapter |
| Published: |
Springer
2010
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| Online Access: | http://hdl.handle.net/20.500.11937/16232 |
| _version_ | 1848749116816883712 |
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| author | Cui, Lei Dai, J. S. |
| author2 | Jadran Lenarcic |
| author_facet | Jadran Lenarcic Cui, Lei Dai, J. S. |
| author_sort | Cui, Lei |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper applies Darboux frame method to developing geometric kinematics of sliding-spin-rolling motion of rigid objects with point contact. For the first time, the geodesic curvatures, normal curvatures and geodesic torsions of both the sliding motion and rolling motion are derived in terms of known geometric entities. The geometric kinematics of the moving object is represented with geometric invariants. Effect of the relative curvatures and torsion on slidingspin- rolling kinematics is explicitly presented. |
| first_indexed | 2025-11-14T07:15:50Z |
| format | Book Chapter |
| id | curtin-20.500.11937-16232 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:15:50Z |
| publishDate | 2010 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-162322023-01-13T07:56:29Z Geometric Kinematics of Point Contact Cui, Lei Dai, J. S. Jadran Lenarcic Michael M. Stanišic geometric kinematics rolling contact This paper applies Darboux frame method to developing geometric kinematics of sliding-spin-rolling motion of rigid objects with point contact. For the first time, the geodesic curvatures, normal curvatures and geodesic torsions of both the sliding motion and rolling motion are derived in terms of known geometric entities. The geometric kinematics of the moving object is represented with geometric invariants. Effect of the relative curvatures and torsion on slidingspin- rolling kinematics is explicitly presented. 2010 Book Chapter http://hdl.handle.net/20.500.11937/16232 10.1007/978-90-481-9262-5_46 Springer restricted |
| spellingShingle | geometric kinematics rolling contact Cui, Lei Dai, J. S. Geometric Kinematics of Point Contact |
| title | Geometric Kinematics of Point Contact |
| title_full | Geometric Kinematics of Point Contact |
| title_fullStr | Geometric Kinematics of Point Contact |
| title_full_unstemmed | Geometric Kinematics of Point Contact |
| title_short | Geometric Kinematics of Point Contact |
| title_sort | geometric kinematics of point contact |
| topic | geometric kinematics rolling contact |
| url | http://hdl.handle.net/20.500.11937/16232 |