Analysis of an Offset Unsymmetric Gyroscope With Oblique Rotor Using (3×3) Matrices With Dual-Number ElementsSource: Journal of Manufacturing Science and Engineering:;1969:;volume( 091 ):;issue: 003::page 535Author:An Tzu Yang
DOI: 10.1115/1.3591622Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Using 3 × 3 matrices of dual-number elements, dynamic equations are obtained for an offset unsymmetric gyroscope with obliquely placed rotor, a generalized six-degree-of-freedom gyroscopic system (shown schematically in Fig. 3). Equations of motion for a special case of the system, a two-frame symmetric gyroscope, conventional in all aspects except the rotor is inclined relative to its spin axis, are deduced; these equations are applied to the study of the effects of a slightly inclined rotor on (a) a two-frame symmetric gyroscope in steady precession and (b) a Faucualt’s gyrocompass.
keyword(s): Rotors , Structural frames , Equations of motion , Particle spin AND Equations ,
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| contributor author | An Tzu Yang | |
| date accessioned | 2017-05-09T00:24:31Z | |
| date available | 2017-05-09T00:24:31Z | |
| date copyright | August, 1969 | |
| date issued | 1969 | |
| identifier issn | 1087-1357 | |
| identifier other | JMSEFK-27542#535_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/136179 | |
| description abstract | Using 3 × 3 matrices of dual-number elements, dynamic equations are obtained for an offset unsymmetric gyroscope with obliquely placed rotor, a generalized six-degree-of-freedom gyroscopic system (shown schematically in Fig. 3). Equations of motion for a special case of the system, a two-frame symmetric gyroscope, conventional in all aspects except the rotor is inclined relative to its spin axis, are deduced; these equations are applied to the study of the effects of a slightly inclined rotor on (a) a two-frame symmetric gyroscope in steady precession and (b) a Faucualt’s gyrocompass. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Analysis of an Offset Unsymmetric Gyroscope With Oblique Rotor Using (3×3) Matrices With Dual-Number Elements | |
| type | Journal Paper | |
| journal volume | 91 | |
| journal issue | 3 | |
| journal title | Journal of Manufacturing Science and Engineering | |
| identifier doi | 10.1115/1.3591622 | |
| journal fristpage | 535 | |
| journal lastpage | 541 | |
| identifier eissn | 1528-8935 | |
| keywords | Rotors | |
| keywords | Structural frames | |
| keywords | Equations of motion | |
| keywords | Particle spin AND Equations | |
| tree | Journal of Manufacturing Science and Engineering:;1969:;volume( 091 ):;issue: 003 | |
| contenttype | Fulltext |