摘要
建立一个具有平方非线性受简谐激励发电机组转子轴系扭振的截断模型，应用非线性振动的平均法，得到了系统当ω２ ≈２ω１，Ω≈ω１ 时双重共振的一次近似解及对应的稳态解，揭示了系统的响应曲线存在跳跃现象，响应曲线随物理参数的不同取值其拓朴结构会发生变化。在内共振欠调谐时，系统的频响曲线呈软特性；在内共振完全调谐时，频响曲线左、右对称，呈Ｍ 型；在内共振过调谐时，频响曲线表现为硬特性。
In this paper, a rotor shafting torsional vibration system of a turbogenerator set with quadratic nonlinearities to a simple harmonic excitation is investigated. By the use of the method of averaging, the first approximate solution and corresponding steady state solution are obtained while ω 1≈2ω 1, and Ω≈ω 1. The paper points out that the response curves exist jump phenomenon, and the topological structures of the response curve are decided by the physical parameters of the system. As internal resonance is insufficient detuning, response curves demonstrate soft characteristics; as internal response is complete detuning, response curves are symmetric and are of M shapes; as internal response is excessive detuning, response curves demonstrate hard characteristics. The results of theoretical analysis are shown to be in good agreement with experimental results.
出处
《应用力学学报》
CAS
CSCD
北大核心
1999年第3期33-38,共6页
Chinese Journal of Applied Mechanics
基金
国家自然科学基金
关键词
转子轴系
扭振
双重共振
内共振
发电机组
rotor shafting torsional vibration, double responses, internal resonance, the method of averaging, insufficient detuning, excessive detuning.
