摘要
建立了具有平方非线性并受简谐激励作用的发电机组转子轴系四圆盘扭振模化系统的模型 ,应用非线性振动的改进平均法 ,研究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。求得系统三重共振的一次近似解及稳态响应曲线 ,并进行了实验验证 ,实验结果与理论结果相符。
A mathematical model of four circular plates 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. Two kinds of main response curves are confirmed experimentally. The results of theoretical analysis are shown to be in good agreement with experimental results.
出处
《机械强度》
EI
CAS
CSCD
北大核心
2000年第4期321-324,共4页
Journal of Mechanical Strength
关键词
三重共振
内共振
汽轮发电机组
轴床扭振
generator set, torsional vibration, triple resonances, internal resonance, improved averaging metho4
