固有频率与共振频率影响因素及实验研究

Study on Affecting Factors and Experiment between Natural Frequency and Resonance Frequency

从实验室常见的实验仪器烧杯入手,先测量烧杯的固有频率,然后在测得的固有频率附近寻找烧杯的共振频率,并研究了相关参量对烧杯系统共振频率的影响。实验结论表明:系统的共振频率与烧杯口径、烧杯所加液体质量以及烧杯中所盛放液体的表面张力有关。当烧杯中所加液体体积一定时,烧杯系统的共振频率与烧杯的口径成反比;当烧杯口径一定时,烧杯系统的共振频率与所加液体质量成反比;在使用相同口径的烧杯,并加入相同质量的甘油和水时,烧杯中所盛放液体的表面张力越大,共振频率越大。

The lab beakers in the laboratory are used to measure the natural frequency firstly and then the resonance frequency of the beaker is found near the measured natural frequency.The influences of the relevant parameters on the resonance frequency of the beaker system are studied.The experimental results show that the resonance frequency of the system is related to the diameter of the beaker,the quality of the liquid added to the beaker,and the surface tension of the liquid contained in the beaker.When the volume of liquid in the beaker is constant,the resonant frequency of the beaker system is inversely proportional to the diameter of the beaker;When the diameter of the beaker is constant,the resonant frequency of the beaker system is inversely proportional to the mass of the added liquid;When beakers which are the same diameters and the same amount of glycerin and water are compared,the greater the surface tension of the liquid contained in the beaker,the greater the resonance frequency.