Simulink Project 1

Simulink Project 1 - Sarah Thomas May 4, 2009 Design...

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Sarah Thomas May 4, 2009 Design Project – Fun with Simulink
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2 In Assignment 1, frequency was set to 1 cycle per second with ω n from 0.01 to 100. At the resonance frequency the amplitude rises exponentially. At a frequency chosen close to the resonance frequency we find that the amplitude has a “beat” pattern with values ranging from 0 to 25. This happens because at certain values of the amplitude attempts to skyrocket but is reduced. As frequency is reduced to ω 0.1, the amplitude is around 4. When the frequency is further reduced the amplitude begins to slowly increase again. On the other side of the resonance frequency, amplitude decreases steadily from 0.10 at 10 cps to 0.01 100 cps. I was not quite sure how to read the Lissajous figures. I understand that a horizontal line can either be 0° or ±180° and a circle is 90°. The Lissajous figures Simulink generated show that from 0.01 cps to 100 cps the phase shift ranges from 0° to -180° (also determined by the Bode Diagram). Also, at or near the resonance
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Simulink Project 1 - Sarah Thomas May 4, 2009 Design...

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