摘要
本文对具有自动频率跟踪和反馈稳幅功能的电磁振动机械进行了研究.对实现电子闭环控制的一个半自由度非线性动力学系统(见图1)建立了一个三维机、电振动微分方程纽。应用中心流形定理和Normal Form定理对这类具有自激振动性质的方程组求得第一次近似解.又以GZJ—4型机为例,计算了定常解的稳定域,并给出定常解同电磁铁激磁电压之间的关系.对设计和调试这类产品有指导意义.
The electromagnetic vibrational machine which has function of automatic frequency follow-up and stable amplitude was studied. For such one and half degree freedom system the three dimensional differential equations have been established. By using the Centre Manifold Theorem and the Normal Form Theorem the first order approximate solution for these differential equations of self-excited vibrational system is obtained. This paper has yet a example of calculating the stationary solution for the type GZJ-4.
出处
《应用力学学报》
CAS
CSCD
北大核心
1991年第2期1-8,147,共8页
Chinese Journal of Applied Mechanics
基金
国家自然科学基金
关键词
非线性系统
周期解
电子闭环控制
autoinatic frequency follow-up,theory of hopf bifurcation,centre manifold thorem,normal form theorem.
