Abstract
A double-shell model of hydroelectric-generator stator system was established. Applying the theory of mechano-electric analytical dynamics theory, the nonlinear vibration equation of magnetism and solid coupling of hydroelectric-generator stator system, under steadily balanced three-phases operating condition, was obtained. According to the method of multiple scales for nonlinear oscillations, the double resonances of magnetism and solid coupling of hydroelectric-generator stator system were investigated. It is pointed out that the system has abundant dynamics phenomenon including the attendant jumps and coexistence of multiple stable motions.
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References
LI Wen-lan, QIU Jia-jun. Magnetism and solid coupling vibration of hydroelectric-generator stator system[A]. In:The Thesis Collection of the Sixth Vibration Theory and Application Academic Conference of China'97[C]. Wuhan: Press of Huazhong University of Science and Technology, 1997, (5):544–548. (in Chinese)
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Communicated by LI Li
Foundation item: the National Natural Science Foundation of China (19772041)
Biographies: LI Wen-lan (1964∼) QIU Jia-jun (1934∼)
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Wen-lan, L., Jia-jun, Q. & Zhi-an, Y. The double resonances of magnetism and solid coupling of hydroelectric-generator stator system. Appl Math Mech 21, 1187–1196 (2000). https://doi.org/10.1007/BF02458997
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DOI: https://doi.org/10.1007/BF02458997
Key words
- hydroelectric-generator
- stator system
- method of the multiple scales
- magnetism and solid coupling
- double resonances