Stability Analysis of a Breathing Cracked Rotor with Imposed Mass Eccentricity
The investigation of the effects of mass eccentricity on stability of a gravity dominated cracked Jeffcott rotor would generally provide practical applicability to crack detection and instability control of the heavy loading turbo-machinery system. Based upon the numerical Floquet method, the stabil...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2015/453216 |
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| _version_ | 1832558820923015168 |
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| author | Huichun Peng Qing He Yaxin Zhen |
| author_facet | Huichun Peng Qing He Yaxin Zhen |
| author_sort | Huichun Peng |
| collection | DOAJ |
| description | The investigation of the effects of mass eccentricity on stability of a gravity dominated cracked Jeffcott rotor would generally provide practical applicability to crack detection and instability control of the heavy loading turbo-machinery system. Based upon the numerical Floquet method, the stability and bifurcations of the periodic time-dependent rotor with a transverse breathing crack are studied with respect to the varied mass eccentricity at different rotation speed, and the stability diagrams in the parameter plane are obtained which the previous studies have not covered. The numerical response of the cracked rotor system is also analyzed by the frequency spectrum to present the vibration characters while the rotation speed approaches the critical ratio. The detailed numerical eigenvalues of the transition matrix are applied to analyze the types of the bifurcations of the cracked rotor system. Three types of bifurcations are found and responses of the cracked rotor system at these bifurcations are presented for the visualized comparisons. |
| format | Article |
| id | doaj-art-afed919e76904be9b98bee400af90a45 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-afed919e76904be9b98bee400af90a452025-02-03T01:31:30ZengWileyShock and Vibration1070-96221875-92032015-01-01201510.1155/2015/453216453216Stability Analysis of a Breathing Cracked Rotor with Imposed Mass EccentricityHuichun Peng0Qing He1Yaxin Zhen2Department of Mathematics and Physics, North China Electric Power University, Beijing 102206, ChinaSchool of Energy Power and Mechanical Engineering, China Electric Power University, Beijing 102206, ChinaDepartment of Mathematics and Physics, North China Electric Power University, Beijing 102206, ChinaThe investigation of the effects of mass eccentricity on stability of a gravity dominated cracked Jeffcott rotor would generally provide practical applicability to crack detection and instability control of the heavy loading turbo-machinery system. Based upon the numerical Floquet method, the stability and bifurcations of the periodic time-dependent rotor with a transverse breathing crack are studied with respect to the varied mass eccentricity at different rotation speed, and the stability diagrams in the parameter plane are obtained which the previous studies have not covered. The numerical response of the cracked rotor system is also analyzed by the frequency spectrum to present the vibration characters while the rotation speed approaches the critical ratio. The detailed numerical eigenvalues of the transition matrix are applied to analyze the types of the bifurcations of the cracked rotor system. Three types of bifurcations are found and responses of the cracked rotor system at these bifurcations are presented for the visualized comparisons.http://dx.doi.org/10.1155/2015/453216 |
| spellingShingle | Huichun Peng Qing He Yaxin Zhen Stability Analysis of a Breathing Cracked Rotor with Imposed Mass Eccentricity Shock and Vibration |
| title | Stability Analysis of a Breathing Cracked Rotor with Imposed Mass Eccentricity |
| title_full | Stability Analysis of a Breathing Cracked Rotor with Imposed Mass Eccentricity |
| title_fullStr | Stability Analysis of a Breathing Cracked Rotor with Imposed Mass Eccentricity |
| title_full_unstemmed | Stability Analysis of a Breathing Cracked Rotor with Imposed Mass Eccentricity |
| title_short | Stability Analysis of a Breathing Cracked Rotor with Imposed Mass Eccentricity |
| title_sort | stability analysis of a breathing cracked rotor with imposed mass eccentricity |
| url | http://dx.doi.org/10.1155/2015/453216 |
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