Answered: Ships at sea undergo motion about their…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Concept explainers

Question

Ships at sea undergo motion about their roll axis, as shown in Fig. The stabilizers can be positioned by a closed-loop roll control system that consists of components, such as fin actuators and sensors, as well as the ship's roll dynamics. Assume the roll dynamics, which relates the roll-angle output, θ(s), to a disturbance-torque input, TD(s)

Find the natural frequency, damping ratio, peak time and percent overshoot.

Question 5 options:

ωn=2.8 rad/s, ξ=0.5Peak time 5.12sOvershoot 69.26%

ωn=0.5 rad/s, ξ=2.25Peak time 4.16sOvershoot 49.1%

ωn=2.25 rad/s, ξ=0.5Peak time 3.45sOvershoot 30.85%

Ships at sea undergo motion about their roll axis, as shown in Fig. The stabilizers can be positioned by a closed-
loop roll control system that consists of components, such as fin actuators and sensors, as well as the ship's roll
dynamics. Assume the roll dynamics, which relates the roll-angle output, 0(s), to a disturbance-torque input,
TD(s),
0 (s)
2.25
TD (s) (s² +0.5s +2.25)
Find the natural frequency, damping ratio, peak time and percent overshoot.
Own
Roll axis.
wn = 2.8 rad/s, = 0.5
§
Peak time 5.12s
Overshoot 69.26%
-
Tp(t) 0(t)
CCC
Oooo
0.5 rad/s, § = 2.25
&
Peak time 4. 16s
Overshoot 49.1%
wn = 2.25 rad/s, = 0.5
Peak time 3. 45s
Overshoot 30.85%
wn = 1.5 rad/s, § = 0.167
Peak time 2. 124s
Overshoot 59.6%

Expert Solution

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions