摘要
研究了支点沿垂直方向谐振的弹簧摆的运动，其运动由两个相互耦合的常微分方程描述。用多尺度法分析了当激励濒率Ω≈ω_１，ω_２时的共振行为，并分析了当ω_１／ω_２≈２．０时的内共振响应，发现了存在饱和现象，找到了参数共振时的不稳定区域。
This paper is concerned with the motion of a swinging pendulum whose support oscillates harmonically along a vertical line. The equations of motion are described by two coupled ordinary differential equations for the generalized coordinates. The method of multiple scales is used to analyse this problem,for the resonant case ,when the frequency ratio ω_1/ ω2 has a value of 2. 0,the oscillator exhibits saturation phenomeon ,meanwhile the boundaries of stability for parametric resonance is obtained by analysis.
出处
《包头钢铁学院学报》
1995年第2期1-10,共10页
Journal of Baotou University of Iron and Steel Technology
关键词
共振
内共振
参数共振
弹簧摆
振动支点
resonance, internal resonance, saturation phenomenon, parametric resonance,boundary of stability
