一维振动合成的数值方法和一般讨论

Numerical Method and General Discussion about the Superposition of Vibrations

用振幅矢量法给出了不同频率、不同振幅和不同初相位的两个一维振动合成的一般数学结果。用计算机数值合成的方法给出合成振动曲线和合成频率随时间的变化关系。不同振幅的振动合成的拍频与同振幅合成的规律相同,但是两种情况下的合振动频率不同,前者随时间周期性变化,而后者为常数。

A general result about the superposition of both vibrations in a direction with different frequencies, amplitudes and initial phases is discussed by amplitude vector. The compound curves and the relation of frequency with time are given by the numerical method. The beat frequency emerged by superpesition of the vibrations with different amplitudes has the same rule as that with equal amplitudes. But both superposition frequencies are different, the one of that with different amplitudes is periodic change with time, while other is a constant.