丝鸣中粘滑振动的理论分析

THE THEORETICAL ANALYSIS ABOUT STICK—SLIP VIBRATION OF SCROOPING SOUND

本文对丝鸣的粘滑振动进行了理论分析,建立了丝鸣波动方程和粘滑振动方程,并由此确认:1.粘滑周期可由所导出的理论方程予以预测,其实验值和理论值基本吻合.2.其滑动周期、滑动位移与弦长成正比,平均滑动速度与弦长无关,而粘附周期则与驱动速度成反比.3.产生粘滑运动的临界条件应该是μ_1-μ_k>0.

In this paper the wave equation of scrooping sound and the stick-slip vibrationequation have been established on the basis of theoretical analysis about stick-slipvibration of scrooping sound.The following results are obtained :1. The stick-slip period can be predicted by the theoretical formula. Theexperimental values is in accord with the theoretical values basically.2. The slip period and slip shift are propertional to the length of the string and themean slip vilocity is irrelevant to the length of the string. The stick period is inverselypropertional to the driving vilocity and is the main component of stick-slip period.3. The critical condition producing stick- slip vibration is μ-μ > 0.