The Dual Euler Basis: Constraints, Potentials, and Lagrange’s Equations in Rigid-Body DynamicsSource: Journal of Applied Mechanics:;2007:;volume( 074 ):;issue: 002::page 256Author:Oliver M. O’Reilly
DOI: 10.1115/1.2190231Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Given a specific set of Euler angles, it is common to ask what representations conservative moments and constraint moments possess. In this paper, we discuss the role that a non-orthogonal basis, which we call the dual Euler basis, plays in the representations. The use of the basis is illustrated with applications to potential energies, constraints, and Lagrange’s equations of motion.
keyword(s): Dynamics (Mechanics) , Rotation , Equations of motion AND Equations ,
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| contributor author | Oliver M. O’Reilly | |
| date accessioned | 2017-05-09T00:22:34Z | |
| date available | 2017-05-09T00:22:34Z | |
| date copyright | March, 2007 | |
| date issued | 2007 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26621#256_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/135146 | |
| description abstract | Given a specific set of Euler angles, it is common to ask what representations conservative moments and constraint moments possess. In this paper, we discuss the role that a non-orthogonal basis, which we call the dual Euler basis, plays in the representations. The use of the basis is illustrated with applications to potential energies, constraints, and Lagrange’s equations of motion. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | The Dual Euler Basis: Constraints, Potentials, and Lagrange’s Equations in Rigid-Body Dynamics | |
| type | Journal Paper | |
| journal volume | 74 | |
| journal issue | 2 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.2190231 | |
| journal fristpage | 256 | |
| journal lastpage | 258 | |
| identifier eissn | 1528-9036 | |
| keywords | Dynamics (Mechanics) | |
| keywords | Rotation | |
| keywords | Equations of motion AND Equations | |
| tree | Journal of Applied Mechanics:;2007:;volume( 074 ):;issue: 002 | |
| contenttype | Fulltext |