On the Computation of Relative Rotations and Geometric Phases in the Motions of Rigid BodiesSource: Journal of Applied Mechanics:;1997:;volume( 064 ):;issue: 004::page 969Author:O. M. O’Reilly
DOI: 10.1115/1.2789008Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, expressions are established for certain relative rotations which arise in motions of rigid bodies. A comparison of these results with existing relations for geometric phases in the motions of rigid bodies provides alternative expressions of, and computational methods for, the relative rotation. The computational aspects are illustrated using several examples from rigid-body dynamics: namely, the moment-free motion of a rigid body, rolling disks, and sliding disks.
keyword(s): Motion , Computation , Disks , Dynamics (Mechanics) , Rotation AND Computational methods ,
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| contributor author | O. M. O’Reilly | |
| date accessioned | 2017-05-08T23:52:27Z | |
| date available | 2017-05-08T23:52:27Z | |
| date copyright | December, 1997 | |
| date issued | 1997 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26428#969_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/118126 | |
| description abstract | In this paper, expressions are established for certain relative rotations which arise in motions of rigid bodies. A comparison of these results with existing relations for geometric phases in the motions of rigid bodies provides alternative expressions of, and computational methods for, the relative rotation. The computational aspects are illustrated using several examples from rigid-body dynamics: namely, the moment-free motion of a rigid body, rolling disks, and sliding disks. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | On the Computation of Relative Rotations and Geometric Phases in the Motions of Rigid Bodies | |
| type | Journal Paper | |
| journal volume | 64 | |
| journal issue | 4 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.2789008 | |
| journal fristpage | 969 | |
| journal lastpage | 974 | |
| identifier eissn | 1528-9036 | |
| keywords | Motion | |
| keywords | Computation | |
| keywords | Disks | |
| keywords | Dynamics (Mechanics) | |
| keywords | Rotation AND Computational methods | |
| tree | Journal of Applied Mechanics:;1997:;volume( 064 ):;issue: 004 | |
| contenttype | Fulltext |