The resonances of parametric vibration with forced vibration isanalyzed, the bifurca- tion equation of the system is obtained andthe singularity analysis is made. Some of the laws and phe- nomenaare revealed. The tran...The resonances of parametric vibration with forced vibration isanalyzed, the bifurca- tion equation of the system is obtained andthe singularity analysis is made. Some of the laws and phe- nomenaare revealed. The transition variety and bifurcation diagram of thephysical parameteric plane are given. the results can be used inengineering.展开更多
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 hy...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 stater system, were investigated. It is pointed out that the system has abundant dynamics phenomenon including the attendant jumps and coexistence of multiple stable motions.展开更多
基金National Natural Science FoundationDoctoral Programme Foundation of Institution of Higher Education of China
文摘The resonances of parametric vibration with forced vibration isanalyzed, the bifurca- tion equation of the system is obtained andthe singularity analysis is made. Some of the laws and phe- nomenaare revealed. The transition variety and bifurcation diagram of thephysical parameteric plane are given. the results can be used inengineering.
文摘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 stater system, were investigated. It is pointed out that the system has abundant dynamics phenomenon including the attendant jumps and coexistence of multiple stable motions.
