多个同方向同频率简谐振动合成研究

Research on the Synthesis of Harmonic Vibration With the Same Frequency and Direction

分别采用振动方程(三角函数)叠加法、复指数函数叠加法和旋转矢量合成研究多个振动方向相同、频率相同、振幅相同的简谐振动合成问题,得到多个振动方向相同、频率相同、振幅相同的简谐振动合成后仍为简谐振动的结论,并给出了振动加强合振动减弱的条件。

In this paper,the synthesis of simple harmonic vibration with the same direction,frequency and amplitude is studied by adopting the superposition method of vibration equation（trigonometric function）,complex exponential function,superposition and rotational vector synthesis respectively.The results show that it is still a simple harmonic vibration after the synthesis of simple harmonic vibrations,and the conditions that the vibration is strengthened or weakened are also proved.