摘要
本文研究在简谐激励力作用下二端面弹性转轴相对转动的主共振、超谐波共振和亚谐波共振.用平均法研究了系统的主共振,得到了系统的渐进稳态周期解,采用多尺度法求得了系统的3次超谐波共振解和1/3次亚谐波共振解.
The principal.ultraharmonie and subharmonic resonance of an elastic rotation shat with twin sides by a harmonic force is discussed .in this paper. Asymptotically stable periodic solution on principal resonance of the system is obtained,by applying average method. 3 ultraharmonic resonance and 1/3 subharmonic resonance solution of the system is obtained ,by multiscale method.
出处
《数学理论与应用》
2007年第1期24-26,共3页
Mathematical Theory and Applications
基金
国家自然科学基金资助项目(40374048)
关键词
非线性动力学方程
主共振解
次共振解
稳定性
nonlinear dynamics equation principal resonance solution secondary resonance solution stadiness
