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Dynamics of Machines - Part II - IFS.pdf

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Imag(A(ω)) [m/N]<br />

0<br />

−1<br />

−2<br />

−3<br />

−4<br />

−5<br />

−6<br />

−7<br />

−8<br />

Frequency Response Function (Real <strong>Part</strong>)<br />

ξ=0.005<br />

ξ=0.05<br />

−9<br />

−5 −4 −3 −2 −1 0 1 2 3 4 5<br />

Real(A(ω)) [m/N]<br />

Figure 16: Steady state response in the frequency domain or Frequency Response Function (FRF)<br />

illustrated as the real versus the imaginary part <strong>of</strong> A =<br />

Imag(A(ω)) [m/N]<br />

0<br />

−0.5<br />

−1<br />

−1.5<br />

−2<br />

1<br />

0.5<br />

Real(A(ω)) [m/N]<br />

0<br />

Frequency Response Function<br />

−0.5<br />

0<br />

0.5<br />

f/m<br />

−ω 2 +ω 2 n +i2ξωnω.<br />

1<br />

1.5<br />

Frequency [Hz]<br />

2<br />

ξ=0.05<br />

Figure 17: Steady state response in the frequency domain or Frequency Response Function (FRF)<br />

f/m<br />

illustrated in a 3D-plot: the real and imaginary parts <strong>of</strong> A = −ω2 +ω2 as a function <strong>of</strong> the<br />

n+i2ξωnω<br />

frequency.<br />

25

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