摘要
研究受简谐激励作用发电机组转子轴系扭振模化系统的固有频率存在双重内共振关系ω３≈２ω２、ω２≈２ω１且Ω≈ω１时的三重共振问题，求得了系统三重共振的一次近似解及稳态响应曲线，指出系统具有多解共存现象．
In this paper a mathematical model of torsional vibration of the shafting system which has quadratic nonlinearities and harmonic excitation is established .By using the improved averaging method for nonlinear oscillation,under the conditions ω 3≈2ω 2,ω 2≈2ω 1 and Ω≈ω 1 ,the first approximation solution and its corresponding steady state solution of the triple resonances are obtained.It is pointed out that the triple resonance system has the coexistence of multiple stable motions.
出处
《天津大学学报》
EI
CAS
CSCD
1999年第3期381-384,共4页
Journal of Tianjin University(Science and Technology)
基金
河北省博士基金
关键词
发电机组
扭振
三重共振
汽轮发电机组
内共振
generator set torsional vibration triple resonances internal resonance the improved averaging method
