Damped harmonic oscillator

In this presentation, you will get the detailed information and some application about Damped harmonic oscillator.

1. Damped Harmonic Oscillator Kamran Ansari 02–01-2018

2. Content Simple harmonic oscillator (SHM), Damped harmonic oscillator Over damped, Under damped, Critical damped Application of damped oscillator.

3. Simple harmonic oscillator The spring exerts a restoring force for small displacement x , The equation of motion, and the solution is, = natural frequency = = phase difference  

4. Damped harmonic oscillator The spring’s restoring force and frictional force exert opposite force, The equation of motion, γ = damping coefficient =    

5. Solution of the equation, + (a) Over damped , The system comes to its equilibrium state without oscillating,    

6. (b) Under damped , The system comes to tis equilibrium state after some oscillations    

7. (c) Critically damped , The system comes to its equilibrium state most quickly,    

8. Application of Damped harmonic oscillator Car suspension system

9. Thank you