VIbration is the to and fro movement of any object that occurs when the equilibrium of that object is disturbed. this movement is also called oscillatory motion.
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Vibration is the motion of particles in a medium in a to and fro way. The particles oscillate from their mean positions to extreme positions and back again to the mean position.

The vibratory motion is also called oscillation or simple harmonic motion, when the particles move with a constant time period and angular velocity.

Suppose you have a spring, You can compress the spring and then leave it. The end point of the spring oscillates in vibration or in simple harmonic motion.