Vibration

Vibration

1. Simple Harmonic Motion

   • periodic motion
     • The movement is periodic
       • In absence of friction
         • Produced by a restitution force
           • In a SHM, the object oscillates around an equilibrium position. Once the oscillator goes away from the central position, it will reach the same maximum distance sideways.
             • Amplitude is the maximum displacement from the equilibrium position
               • Period is the time a body takes to go back to its original position after one full cycle
                 • Frequency of oscillation or the number of cycles in one second.
                   • The best way to study SHM is by analyzing the motion of a spring attached to a mass in the absence of friction.

2. Motion Equations

   • The vibrations of the SHM can be studied as waves because we have an amplitude of motion, a period and a frequency of oscillation.
     • Position as function of time.
       • Velocity as function of time
         • Acceleration as function of time

3. Wave Phenomena

   • The period is the inverse of the frequency
     • we can express oscillator in terms of its frequency (f) and period (T).