During a vibration measurement test, an impact hammer is used to excite the structure. A sample test on the driver mirror of a vehicle is shown below. During the test, an impact hammer with a force sensor on the tip excites the structure while the oscillations of the structure is measured with an accelerometer. Assume that the system is underdamped with =0.15 and K.q=0.8x10' N/m. The force is applied in a short time period (At=1 ms) with a constant value of 100 N as shown below. If the natural frequency is found to be 500 Hz, derive the response, and plot the amplitude A(t) in mm vs time between 0 to 0.03 seconds. Now take the FFT of your time domain solution, A(t) and plot the amplitude vs frequency graph. Show the value and location of the damped frequency and natural frequency on this graph.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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During a vibration measurement test, an impact hammer is used to excite the structure. A
sample test on the driver mirror of a vehicle is shown below. During the test, an impact
hammer with a force sensor on the tip excites the structure while the oscillations of the
structure is measured with an accelerometer. Assume that the system is underdamped with
=0.15 and keqv = 0.8x10' N/m. The force is applied in a short time period (At=1 ms) with a
constant value of 100 N as shown below. If the natural frequency is found to be 500 Hz, derive
the response, and plot the amplitude A(t) in mm vs time between 0 to 0.03 seconds. Now take
the FFT of your time domain solution, A(t) and plot the amplitude vs frequency graph. Show
the value and location of the damped frequency and natural frequency on this graph.
f(N)
F-
ΔΙ
t(s)
Transcribed Image Text:During a vibration measurement test, an impact hammer is used to excite the structure. A sample test on the driver mirror of a vehicle is shown below. During the test, an impact hammer with a force sensor on the tip excites the structure while the oscillations of the structure is measured with an accelerometer. Assume that the system is underdamped with =0.15 and keqv = 0.8x10' N/m. The force is applied in a short time period (At=1 ms) with a constant value of 100 N as shown below. If the natural frequency is found to be 500 Hz, derive the response, and plot the amplitude A(t) in mm vs time between 0 to 0.03 seconds. Now take the FFT of your time domain solution, A(t) and plot the amplitude vs frequency graph. Show the value and location of the damped frequency and natural frequency on this graph. f(N) F- ΔΙ t(s)
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