投影式李萨如图形实验教学装置设计

Design of Experimental Teaching Device for Projection-based Lissajous Figures

针对现有李萨如图形实验演示装置只能将观察视角局限在二维平面上、大部分只能演示由两简谐振动合成的李萨如图形等问题,应用光学投影方法,设计了一种投影式李萨如图形实验教学装置。通过绘制缠绕在不同截面形状卷筒外周面上的振动波形,可从三维视角观察到不同频率比与相位差的李萨如图形。此方法具有现象直观、易于理解、趣味性与扩展性强等优点,为李萨如图形实验演示装置教学提供了一种新的方法。

In response to the limitations of existing Lissajous experiment demonstration devices,which confine observational perspectives to a two-dimensional plane and mostly illustrate Lissajous figures synthesized from two simple harmonic vibrations,a Lissajous projection teaching experiment device using optical projection is designed.By plotting the vibration waveforms wrapped around the outer surface of cylinders with different cross-sectional shapes,Lissajous figures with different frequency ratios and phase differences can be observed from a three-dimensional perspective.This method is characterized by its intuitive visualization,is ease for understanding,has strong interest and high expansibility,which provides a new approach to teaching with Lissajous experiment demonstration devices.