Theory and Design for Mechanical Measurements
Theory and Design for Mechanical Measurements
6th Edition
ISBN: 9781118881279
Author: Richard S. Figliola, Donald E. Beasley
Publisher: WILEY
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Chapter 2, Problem 2.27P

Construct an amplitude spectrum plot for the Fourier series in Problem 2.16 fory(r) = t. Discuss
the significance of this spectrum for measurement or interpretation of this signal. Hint: The plot can be done by inspection or using software such as DataSpect.

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1. Sketch and define a sinusoidal signal by labelling its cycle, time duration and magnitude.
ao Find a false statement regarding the following plot for () is the amplitude for the solution z(t) of the equation of motion +y+wx = ao sin wt. 10 WA(w) ao 1 Wo 2 0.1 (a) The amplitude wA(w) is the amplitude for the velocity. (b) At the resonance, the amplitude has the maximum ag WA(W) = resonance 7 a[wA(w)] Əw (d) The resonance is at w = two and twoi. 5 0 =-a0 0.5 0.3 7 ولما w² - wo 13/2 [(w² - w²)² + 7²w²] ³/2 √(w²z-w²)²+7² Here, A(w)
2. Determine the Average and RMS value for the function y (t) = 25 + 10 sin 6nt over the time period "O to 0.1" sec Comment on the nature and meaning of the results in terms of analysis of dynamic signals.

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Theory and Design for Mechanical Measurements

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