Consider the mass-spring-damper system of the figure below:
It transfer function is of the type:
\frac{\omega_{n}^2}{s^2 + 2 \xi \omega_{n} s + \omega_{n}^2}
a) For
\omega_{n}=10, examine different values of
\xi :
• Two values smaller than 0.5;
• Equal to 1;
• Two values larger than 1.
What differences can be observed with the system? The plot was changed? The phase margin or the gain margin were changed?
b) For
\xi =0.5, examine different values of
\omega_{n}:
• Two values smaller than 0.5;
• Equal to 1;
• Two values larger than 10.
What differences can be observed with the system? The plot was changed? The phase margin or the gain margin were changed?