lecture1710 - ME 563 Mechanical Vibrations Lecture #17...

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ME 563 Mechanical Vibrations Lecture #17 Frequency Response Functions
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Sinusoidal Response 1 When we considered a co-sinusoidal input force, we obtained the following amplitude/phase information: We can also use Laplace transforms to find these amplitude and phase relationships. x p (t)=X p cos( ω t+ φ p )
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Transfer Functions 2 When we considered a co-sinusoidal input force, we obtained the following amplitude/phase information:
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Frequency Response Functions 3 To obtain the frequency response function, the transfer function is evaluated at s=j ω Then the amplitude and phase are found by calculating the modulus and argument of this complex function of :
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Sinusoidal Solution 4 So in conclusion we can state the following: In words, a simple-harmonic sinusoidal excitation force applied to a linear time-invariant system produces a simple- harmonic sinusoidal response in the steady state at a different amplitude and phase than the excitation force.
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This document was uploaded on 12/23/2011.

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lecture1710 - ME 563 Mechanical Vibrations Lecture #17...

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