摘要
硬弹簧在小摩擦,小受迫简谐振动下,当小摩擦随机扰动时产生颤振,采用三次振幅—频率响应曲线描述,不便于揭示颤振现象.本文用平面 C^2-动态系统平衡态的几何定性作图方法,能从不精确的合理的定性相图中,对滞后颤振作几何直观定性,精确提出一个显著的产生颤振的参数临界条件.该方法能简化复杂的计算,也能用于研究高于三次的非线性颤振问题.
This paper presents a geometrical qualitative new method to provide a critical condi- tion of the hard spring flutters due to the pertubations of the smallfrictions under small forced simple harmonic oscillations.In this paper wc introduce a new method which not only simplifies the caculations but also can be used for studying the nonlinear flutters with the degree more than cube.
关键词
硬弹簧
颤振
摩擦
临界条件
hard spring
oscillation amplitude
phase angle
friction
flutters
