摘要
研究 Ｍａｔｈｉｅｕ—Ｄｕｆｆｉｎｇ系统的共振情况，求出了在主参数共振、三分之一亚谐共振和二分之一亚谐共振情况下系统的频响函数。分析了参数振动系统发生各种共振的条件。
Resonances of the Mathieu-Duffing System are considered. Frequency-response functions of the system in the case of the principal resonance, the 1/3 and 1/2 subharmonic resonance are obtained. Conditions that various resonances happen to the parametrically exited system are analyzed.
关键词
参数振动
非线性系统
共振
频响函数
非线性振动
parametric vibration
nonlinear system
resonance
frequency-response function
