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Electro-Mechanical System Experiment

• Keith Molina
• Lab Partner Iliya Tsekov

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Overview

• Objectives
• Create a linear, lumped parameter model of an
  electromechanical system
• Calculate the second-order transfer function
  parameters
• Compare calculated parameters with those
  determined from the measured system response to a
  step function and swept sine input
• Compare measurements of system parameters
  obtained in the time domain and in the frequency
  domain

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Experimental Apparatus
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Position Transducer and Dashpot
Clamped End
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Position Transducer
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Step Response with Minimal Damping (water)
Gain 1.494 mm/N ?n 46.54 rad/s ? 0.047 K
447.291 N/m M 0.206 kg C 0.894 Ns/m
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Step Response with Added Damping (glycerol)
Gain 1.613 mm/N ?n 50.79 rad/s ?
0.613 K 414.31 N/m M 0.161 kg C 9.997
Ns/m
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Swept Sine Response
Dynamic Signal Analyzer
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Swept Sine Response
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Swept Sine Response

• Poles -1.52602 j7.18908
• ?n (Re2 Im2)1/2 7.349 rad/s
• ? -Re/?n 0.208
• Magnitude obtained 19.6533
• Magnitude fitted 19.1379

K 342 N/m M 0.1604 kg C 3.08 Ns/m
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Conclusion

• Calculated and measured parameters are similar.
• Measurements in the time domain (step function
  input) were comparable to measurements in the
  frequency domain (swept sine input)

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Questions?