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利用微机演示二个相互垂直振动的合成,是其他演示方法所无法比拟的。它除了可以任意选择各自的频率以外,更重要的是:可以稳定地控制二者的相位。我们不但可以在屏幕上看到二个独立的振动图形,而且还明白无误地看到它们合成的全过程。基本设想 1.将屏幕分为上下二排,每排显示四个利萨如图形,每个图形下面用二排文字注明该图形的频率比及相位差。图及其注释设计如下: 2.利萨如图形的构成:依顺序1～8逐个演示不同情况下的利萨如图形。为了形象起见,在利萨如图形的正下方沿Y方向显示水平振动的图形,同时在利萨如图形的右方沿X方向显示垂直振动的图形,这时将相同时刻垂直振动的Y坐标与水平振动的X坐标构成了二者合成的利萨如图形。
The use of a computer to demonstrate the synthesis of two mutually perpendicular vibrations is unmatched by other demonstration methods. In addition to its arbitrary choice of its own frequency, it is even more important that it can steadily control the phase of the two. Not only can we see two independent vibration patterns on the screen, but we can also clearly see the whole process of their synthesis. Basic assumptions 1. Divide the screen into upper and lower rows and display four Lissajous figures in each row. Use the second row of text below each figure to indicate the frequency ratio and phase difference of the picture. The figure and its annotations are designed as follows: 2. The composition of Lissajous figures: The Lissajous figures in different situations are demonstrated one by one in the order of 1 to 8. For the sake of image, the horizontal vibration pattern is displayed in the Y direction directly below the Lisa image and the vertical vibration pattern is displayed in the X direction on the right of the Lissajous pattern. At this time, the Y coordinate of the vertical vibration at the same time is The X-coordinates of the horizontal vibrations constitute the Lissajous figure for the synthesis of the two.