相互垂直的谐振动合成轨迹研究

Study on the Synthesized Path of Two Simple Harmonic Vibrations with one Vertical to another

通过对两个相互垂直、频率比为有理数的简谐振动的合成研究,提出了描述合振动轨迹的特征参量:振幅比、频率比、图形余弦、方向正弦。对两个相互垂直的简谐振动合成的轨迹进行计算机模拟,编制了反映合振动轨迹变化规律的李萨如图形表。

The important parameters, which characterize the Lissajous’ figures, are presented by synthesizing two mutually vertical simple harmonic vibrations whose ratio of frequencies is a rational number. These parameters are the ratio of swing, the ratio of frequencies, phase cosine and directional sine. A large number of graphs are obtained from computer simulation in order to indicate the changing rule of Lissajous’ figures with two simple harmonic vibrations.