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Periodic Motion

A motion which repeats itself over and over again after a regular interval of time is called periodic motion and the fixed interval of time after which the motion is repeated is called period of the motion.

Oscillatory or Vibratory Motion

Oscillatory or vibratory motion is that motion in which a body moves to and fro or back and forth repeatedly about a fixed point in a definite interval of time. In such a motion, the body is confined with in well-defined limits on either side of mean position. Oscillatory motion is also called as harmonic motion.

Harmonic and Non-Harmonic Oscillation

Harmonic oscillation is that oscillation which can be expressed in terms of single harmonic function (i.e., sine or cosine function).
 
Example, y = α sin ωt or y = α cos ωt.
 
Non-harmonic oscillation is that oscillation which can not be expressed in terms of single harmonic function. It is a combination of two or more than two harmonic oscillations.
 
Example, y = α sin ωt + b sin 2 ωt




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