On the Transitivity Equations of Rigid-Body DynamicsSource: Journal of Applied Mechanics:;1992:;volume( 059 ):;issue: 004::page 955Author:John G. Papastavridis
DOI: 10.1115/1.2894066Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper presents direct derivations of the various forms of the famous transitivity equations of rigid-body kinematics from a simple and unified viewpoint. These forms are indispensable in the derivation of the Eulerian (gyro) equations of motion via the Lagrangean (analytical mechanics) method. Both true (holonomic) and quasi (nonholonomic) coordinate forms are presented. A vectorial derivation of the Eulerian equations from the Central Equation and from Hamilton’s Principle is also included in the Appendix.
keyword(s): Dynamics (Mechanics) , Equations , Kinematics , Equations of motion AND Hamilton's principle ,
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| contributor author | John G. Papastavridis | |
| date accessioned | 2017-05-08T23:37:21Z | |
| date available | 2017-05-08T23:37:21Z | |
| date copyright | December, 1992 | |
| date issued | 1992 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26345#955_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/109631 | |
| description abstract | This paper presents direct derivations of the various forms of the famous transitivity equations of rigid-body kinematics from a simple and unified viewpoint. These forms are indispensable in the derivation of the Eulerian (gyro) equations of motion via the Lagrangean (analytical mechanics) method. Both true (holonomic) and quasi (nonholonomic) coordinate forms are presented. A vectorial derivation of the Eulerian equations from the Central Equation and from Hamilton’s Principle is also included in the Appendix. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | On the Transitivity Equations of Rigid-Body Dynamics | |
| type | Journal Paper | |
| journal volume | 59 | |
| journal issue | 4 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.2894066 | |
| journal fristpage | 955 | |
| journal lastpage | 962 | |
| identifier eissn | 1528-9036 | |
| keywords | Dynamics (Mechanics) | |
| keywords | Equations | |
| keywords | Kinematics | |
| keywords | Equations of motion AND Hamilton's principle | |
| tree | Journal of Applied Mechanics:;1992:;volume( 059 ):;issue: 004 | |
| contenttype | Fulltext |