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, ÏD(s), 0 (s) 2.25 TD (s) (s² +0.5s +2.25) Find the natural frequency, damping ratio, peak time and percent overshoot. =
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, ÏD(s), 0 (s) 2.25 TD (s) (s² +0.5s +2.25) Find the natural frequency, damping ratio, peak time and percent overshoot. =
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter6: Forced Convection Over Exterior Surfaces
Section: Chapter Questions
Problem 6.32P
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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% |
|
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