Analysis of the Gyroscopic Stability of the Wheelset
The wheelset of the railway vehicle is a rotor which itself has gyroscopic effect. Nowadays, the rolling stock has entered the era of high speed, and the wheel rotates faster than in the past. The influence of gyroscopic effect on stability is little understood. Metelitsyn’s inequality theorem for a...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2014/151625 |
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| _version_ | 1832560382098538496 |
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| author | Hao Dong Jing Zeng Liang Wu Huanyun Dai |
| author_facet | Hao Dong Jing Zeng Liang Wu Huanyun Dai |
| author_sort | Hao Dong |
| collection | DOAJ |
| description | The wheelset of the railway vehicle is a rotor which itself has gyroscopic effect. Nowadays, the rolling stock has entered the era of high speed, and the wheel rotates faster than in the past. The influence of gyroscopic effect on stability is little understood. Metelitsyn’s inequality theorem for asymptotic stability has some advantages to analyze this problem although this method is sufficient but not necessary condition. Based on its deduction, the extremal eigenvalues criterion and compared with Routh-Hurwitz criterion, both are applied to solve the critical value of speed. Further, according to the instability criterion, gyroscopic contributory ratio is derived to study how the role the gyroscopic effect plays in stability. Moreover, the effect of gyroscopic matrix or gyroscopic terms pitch rotor inertia Iy on stability coefficient is investigated. The results show that Iy is a key factor to wheelset gyroscopic stability. The gyroscopic effect becomes significant, and the stability increases with increasing Iy. The results also indicate that the critical value of speed solved by Metelitsyn theorem is more conservative than the one it solved by Hurwitz criterion, which proves that Metelitsyn inequality theorem for asymptotic stability is a sufficient but not necessary condition in the way of attaining the numerical simulation result. Finally, the test for the influence of gyroscopic effect on stability needs to be further studied. |
| format | Article |
| id | doaj-art-53ac1870590d4c58b2ba5942bd621986 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-53ac1870590d4c58b2ba5942bd6219862025-02-03T01:27:38ZengWileyShock and Vibration1070-96221875-92032014-01-01201410.1155/2014/151625151625Analysis of the Gyroscopic Stability of the WheelsetHao Dong0Jing Zeng1Liang Wu2Huanyun Dai3Traction Power State Key Laboratory, Southwest Jiaotong University, Chengdu 0086 610031, ChinaTraction Power State Key Laboratory, Southwest Jiaotong University, Chengdu 0086 610031, ChinaTraction Power State Key Laboratory, Southwest Jiaotong University, Chengdu 0086 610031, ChinaTraction Power State Key Laboratory, Southwest Jiaotong University, Chengdu 0086 610031, ChinaThe wheelset of the railway vehicle is a rotor which itself has gyroscopic effect. Nowadays, the rolling stock has entered the era of high speed, and the wheel rotates faster than in the past. The influence of gyroscopic effect on stability is little understood. Metelitsyn’s inequality theorem for asymptotic stability has some advantages to analyze this problem although this method is sufficient but not necessary condition. Based on its deduction, the extremal eigenvalues criterion and compared with Routh-Hurwitz criterion, both are applied to solve the critical value of speed. Further, according to the instability criterion, gyroscopic contributory ratio is derived to study how the role the gyroscopic effect plays in stability. Moreover, the effect of gyroscopic matrix or gyroscopic terms pitch rotor inertia Iy on stability coefficient is investigated. The results show that Iy is a key factor to wheelset gyroscopic stability. The gyroscopic effect becomes significant, and the stability increases with increasing Iy. The results also indicate that the critical value of speed solved by Metelitsyn theorem is more conservative than the one it solved by Hurwitz criterion, which proves that Metelitsyn inequality theorem for asymptotic stability is a sufficient but not necessary condition in the way of attaining the numerical simulation result. Finally, the test for the influence of gyroscopic effect on stability needs to be further studied.http://dx.doi.org/10.1155/2014/151625 |
| spellingShingle | Hao Dong Jing Zeng Liang Wu Huanyun Dai Analysis of the Gyroscopic Stability of the Wheelset Shock and Vibration |
| title | Analysis of the Gyroscopic Stability of the Wheelset |
| title_full | Analysis of the Gyroscopic Stability of the Wheelset |
| title_fullStr | Analysis of the Gyroscopic Stability of the Wheelset |
| title_full_unstemmed | Analysis of the Gyroscopic Stability of the Wheelset |
| title_short | Analysis of the Gyroscopic Stability of the Wheelset |
| title_sort | analysis of the gyroscopic stability of the wheelset |
| url | http://dx.doi.org/10.1155/2014/151625 |
| work_keys_str_mv | AT haodong analysisofthegyroscopicstabilityofthewheelset AT jingzeng analysisofthegyroscopicstabilityofthewheelset AT liangwu analysisofthegyroscopicstabilityofthewheelset AT huanyundai analysisofthegyroscopicstabilityofthewheelset |