Lissajous pattern

ABUBAKAR692909 400 views 5 slides Feb 10, 2022
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Lissajous figure, also called Bowditch Curve, pattern produced by the intersection of two sinusoidal curves the axes of which are at right angles to each other. ... Lissajous used a narrow stream of sand pouring from the base of a compound pendulum to produce the curves.


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Lissajous Pattern Scientists : Nathaniel Bowditch In 1815 Jules Antoine Lissajous In 1857 Definition Any of an infinite variety of curves formed by combining two mutually perpendicular simple harmonic motions , commonly exhibited by the oscilloscope , and used in studying frequency, amplitude, and phase relations of harmonic variables :

Plotting of Paramatric equations A set of equations that express a set of quantities as explicit functions of a number of independent variables X=Asin(at+ Δ ) Y= Bsin ( bt ) Formation of Lissajous Pattern Lissajous Patterns are formed when you combine periodic waves moving back and forth with periodic waves moving up and down We can generate this pattern by applying signals horizontal and vertical inputs of an oscilloscope.

Frequency Measurement by Lissajous Method: The fv = fh pattern stands still and is a single circle or ellipse. The fractional relationship between the two frequencies is determined by counting the number of cycles in the vertical and horizontal. Fv/ Fh = No of horizontal tangencies/No of vertical tangencies