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Unformatted text preview: Therefore, we can calculate the steady state response to any periodic force using a sum of responses to sinusoidal forces. Real Fourier series Complex Fourier series Harmonic Inputs 8 If we consider a cosinusoidal input force: and assume the response is of the form, then: x p (t)=X p cos( ω t+ φ p ) Harmonic Inputs 9 If we consider a cosinusoidal input force, : then the relative amplitude and phase of the response are: x p (t)=X p cos( ω t+ φ p ) Frequency Response Functions 10 Normalized expressions using modal parameters Sometimes called Bode Diagrams Total Response 11 As with the step response, we now must add the steady state (particular) response to the free response to obtain the total response expression: Some Examples (C=0)… 12 Resonant response of Response near a resonant undamped system frequency of vibration...
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This document was uploaded on 12/23/2011.
 Fall '09

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