Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

We can model the rolling motion of a ship as a simple second order system, where

ID: 2084159 • Letter: W

Question

We can model the rolling motion of a ship as a simple second order system, where the effect of wave the ship can be expressed in normalized torque units (ntu), where 1 unit of normalized torque is defined to be the torque required to hold the ship at a steady deflection of 1 radian (see figure figure 1) Roll angle is then related to wave motion as shown in figure 3. where G(s) = omega^2/s^2 + 2 zeta omega + omega^2 One method of reducing roll is to use a roll stabilization system which generates a counteracting torque by manipulating projecting fins as shown in figure 2. A simple model of fin action is that the fin actuation generates a torque (expressible in ntu), which is linearly proportional to fin deflection. An appropriate block diagram for such a roll stabilization system is shown in figure 2. Explain why the roll rate sensor is necessary. If the fin actuator constant is given by K = 4 ntu/volt and given that zeta = 0.1 and omega_R. = 2 rad/sec, choose roll-sensor and roll-rate-sensor constants K_omega and K_omega to get a closed loop rolling motion with a (closed loop) undamped natural frequency of 6 rad/sec and a damping ratio of 0.6. Suppose that, with these values for the feedback system parameters, an input wave disturbance is applied, modeled by w (t) = 0.1 Sin ntu. F the corresponding steady state roll amplitude, and compare it with the steady state roll amplitude, which would have resulted if no feedback system were used

Explanation / Answer

Ans : a ) It is an active safety system for passenger vehicles. It uses a roll rate sensor together with the information from the conventional electronic stability control hardware to detect a vehicle's roll condition associated with a potential rollover and executes proper brake control and engine torque reduction in response to the detected roll condition so as to mitigate a vehicular rollover.

Hire Me For All Your Tutoring Needs
Integrity-first tutoring: clear explanations, guidance, and feedback.
Drop an Email at
drjack9650@gmail.com
Chat Now And Get Quote