1 Lecture D33 : Forced Vibration Spring Force k > 0 Dashpot c > 0 Newtons Second Law Equation of motion Forcing.

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Presentation transcript:

1 Lecture D33 : Forced Vibration Spring Force k > 0 Dashpot c > 0 Newtons Second Law Equation of motion Forcing

2 Undamped Forced Vibration General Solution is general solution of... have already seen is any solution of (1) Try

3 Undamped Forced Vibration Particular Solution

4 Damped Forced Vibration General Solution is general solution of... have already seen is any solution of (1) Try or,

5 Damped Forced Vibration is general solution of... have already seen is any solution of (1) Try or,

6 Damped Forced Vibration

7

8 Vibration Isolation How much of the applied force is transmitted to the wall? Transmissibility Transmitted force Applied Force Transmitted Force (spring + dashpot)

9 Vibration Isolation Transmissibility For damping increases transmissibility !! For having a spring increases transmissibility !!