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Dynamics of Machines - Part II - IFS.pdf

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1.6.12 Resonance – Experimental Analysis in Time Domain<br />

(a) Amplitude [m/s 2 ]<br />

(b) Amplitude [m/s 2 ]<br />

3<br />

2<br />

1<br />

0<br />

−1<br />

−2<br />

−3<br />

x 10 −5 Signal (a) in Time Domain − (b) in Frequency Domain<br />

0 5 10 15<br />

time [s]<br />

20 25 30<br />

x 10−5<br />

1.5<br />

1<br />

0.5<br />

0<br />

0 5 10 15 20 25<br />

frequency [Hz]<br />

(a) Amplitude [m/s 2 ]<br />

(b) Amplitude [m/s 2 ]<br />

(a) Amplitude [m/s 2 ]<br />

(b) Amplitude [m/s 2 ]<br />

3<br />

2<br />

1<br />

0<br />

−1<br />

−2<br />

−3<br />

0.5<br />

x 10 −5 Signal (a) in Time Domain − (b) in Frequency Domain<br />

0 5 10 15<br />

time [s]<br />

20 25 30<br />

x 10−5<br />

1.5<br />

1<br />

0<br />

0 5 10 15 20 25<br />

frequency [Hz]<br />

3<br />

2<br />

1<br />

0<br />

−1<br />

−2<br />

−3<br />

0.5<br />

x 10 −5 Signal (a) in Time Domain − (b) in Frequency Domain<br />

0 5 10 15<br />

time [s]<br />

20 25 30<br />

x 10−5<br />

1.5<br />

1<br />

0<br />

0 5 10 15 20 25<br />

frequency [Hz]<br />

Figure 20: Resonance phenomena due to force excitations with frequency around the natural<br />

frequency <strong>of</strong> the mass-spring system: 1 D.O.F. system with natural frequency <strong>of</strong> 0.87 Hz, excited<br />

by the shaker with frequencies <strong>of</strong> 0.80 Hz, 0.87 Hz and 0.90 Hz – Spring-mass system (A) with<br />

two masses m = m1 + m2 = 0.382 Kg fixed at the beam (A) length L1 = 0.600 m, resulting in a<br />

natural frequency <strong>of</strong> 0.87 Hz.<br />

28

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