The Instantaneous Kinematics of Line Trajectories in Terms of a Kinematic Mapping of Spatial Rigid MotionSource: Journal of Mechanical Design:;1987:;volume( 109 ):;issue: 001::page 95Author:J. M. McCarthy
DOI: 10.1115/1.3258792Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The dual Euler parameters of a rigid spatial motion are used to define a curve on a dual unit hypersphere. The dual velocity, curvature, and torsion of this curve form a set of instantaneous parameters related to the instantaneous invariants of the motion. In this paper these new parameters are used to reformulate the kinematic theory of line trajectories. The distribution parameter, Disteli formulas, and the inflection congruence are examined in detail.
keyword(s): Kinematics , Motion , Torsion AND Formulas ,
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| contributor author | J. M. McCarthy | |
| date accessioned | 2017-05-08T23:25:20Z | |
| date available | 2017-05-08T23:25:20Z | |
| date copyright | March, 1987 | |
| date issued | 1987 | |
| identifier issn | 1050-0472 | |
| identifier other | JMDEDB-28075#95_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/102789 | |
| description abstract | The dual Euler parameters of a rigid spatial motion are used to define a curve on a dual unit hypersphere. The dual velocity, curvature, and torsion of this curve form a set of instantaneous parameters related to the instantaneous invariants of the motion. In this paper these new parameters are used to reformulate the kinematic theory of line trajectories. The distribution parameter, Disteli formulas, and the inflection congruence are examined in detail. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | The Instantaneous Kinematics of Line Trajectories in Terms of a Kinematic Mapping of Spatial Rigid Motion | |
| type | Journal Paper | |
| journal volume | 109 | |
| journal issue | 1 | |
| journal title | Journal of Mechanical Design | |
| identifier doi | 10.1115/1.3258792 | |
| journal fristpage | 95 | |
| journal lastpage | 100 | |
| identifier eissn | 1528-9001 | |
| keywords | Kinematics | |
| keywords | Motion | |
| keywords | Torsion AND Formulas | |
| tree | Journal of Mechanical Design:;1987:;volume( 109 ):;issue: 001 | |
| contenttype | Fulltext |