Homework8_Solutions

Homework8_Solutions - MA 107 HW 8 Solution Modeling And...

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MA 107 Modeling And Analysis of Dynamic Systems W06 Professor T-C. Tsao HW 8 Solution 1. 5.1 and determine stability of the system. The pole of the transfer function is at -2. So the system is stable. 2 5.2 and determine stability of the system. The pole of the transfer function is at -13. So the system is stable. 9.21 has a peak value of about 20dB. Therefore the harmonic floor vibration Y must be less than X/20 dB = 2mm/10 = 0.2 mm. >>m=500,c=1600,k=5e5; >> bode([c k],[m c k]); -80 -60 -40 -20 0 20 Magnitude (dB) 10 0 10 1 10 2 10 3 10 4 -180 -135 -90 -45 0 Phase (deg) Bode Diagram Frequency (rad/sec)
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MA 107 Modeling And Analysis of Dynamic Systems W06 Professor T-C. Tsao 4. 9.37 The bandwidth is somewhat larger than the natural frequency (70 rad/sec) because of the numerator term. From the Bode plot, we identify the bandwidth (-3 dB or 0.707 from the DC gain) to be about 140 rad/sec. So the solution above should have calculated one more term at 40 π rad/sec. The gains and phases may also be read from the Bode plot if the plot gives sufficient resolution.
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Homework8_Solutions - MA 107 HW 8 Solution Modeling And...

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