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中文摘要：
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.
英文摘要：
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.
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Second-order approximation of primary resonance of a disk-type piezoelectric stator for traveling wa
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