Homework8_Solutions

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

This preview shows pages 1–3. Sign up to view the full content.

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)

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
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.
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 7

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

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online