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Dynamics of Machines - Part II - IFS.pdf

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

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

1<br />

0<br />

−1<br />

x Signal 10−5<br />

2<br />

(a) in Time Domain − (b) in Frequency Domain<br />

−2<br />

0 5 10 15<br />

time [s]<br />

20 25 30<br />

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

4<br />

3<br />

2<br />

1<br />

x 10 −6<br />

0<br />

0 5 10 15 20 25<br />

frequency [Hz]<br />

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

1<br />

0<br />

−1<br />

x Signal 10−5<br />

2<br />

(a) in Time Domain − (b) in Frequency Domain<br />

−2<br />

0 5 10 15<br />

time [s]<br />

20 25 30<br />

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

8<br />

6<br />

4<br />

2<br />

x 10 −6<br />

0<br />

0 5 10 15 20 25<br />

frequency [Hz]<br />

Figure 31: Resonance phenomena due to the excitation force with frequency around the natural<br />

frequency <strong>of</strong> the mass-spring system: 2 D.O.F. system with the natural frequencies <strong>of</strong> 0.62 Hz<br />

and 4.59, excited by the shaker – Spring-mass system ”A” with three masses m = m1+m2+m3 =<br />

0.573 Kg fixed at the beam length L2 = 0.610 m and three additional masses m = m4+m5+m6 =<br />

0.573 Kg fixed at the middle L1 = 0.310 m resulting in two natural frequencies <strong>of</strong> 0.62 Hz and<br />

4.60 Hz.<br />

48

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