摘要
考虑转子系统弯扭耦合作用,建立汽轮发电机组低压缸转子和发电机转子在次同步谐振作用下的非线性模型.应用平均法研究在次同步谐振的情况下发生组合共振的解析解.并得到分岔方程.应用奇异性理论,得到系统参数和其动态行为的关系.运用数值方法对所得结果进行验证,对发生组合共振和不发生组合共振的情况进行了数值比较.该结果对工程实际应具有一定参考价值.
The nonlinear model of the low pressure cylinder-generator rotor system was presented for the study of sub-synchronous resonance and combined resonance.Analytical results were obtained by the averaging method.The transition sets and bifurcation diagrams were obtained by the singularity theory for two-state variable system.The bifurcation characteristics were analyzed,which can provide a basis for the optimal design and fault diagnosis of the rotor system.Finally,the theoretical results are verified by the numerical results.
出处
《应用数学和力学》
CSCD
北大核心
2011年第8期895-911,共17页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目(10632040)
关键词
转子弯扭耦合振动
次同步谐振
非线性动力学
组合共振
bending-torsion coupling vibration of rotor systems
sub-synchronous resonance
nonlinear dynamics of rotor
combined resonance of bending-torsion coupling vibration
