Figure 2 illustrates a simple mass-damper-spring system. Suppose the output response of the controlled system is the mass's displacement x(t) subject to the applied input force f(t). By appropriately selecting the parameters and showing all calculation steps, design the complete system such that the output response produces percentage overshoot of 3% and settling time of 3 seconds, subject to a unit step of applied force f(t) = u(t). x(1) K1 M f(1) Fixed wall В

Figure 2 illustrates a simple mass-damper-spring system. Suppose the output response of the controlled system is the mass's displacement x(t) subject to the applied input force f(t). By appropriately selecting the parameters and showing all calculation steps, design the complete system such that the output response produces percentage overshoot of 3% and settling time of 3 seconds, subject to a unit step of applied force f(t) = u(t). x(1) K1 M f(1) Fixed wall В

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

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Given the vibrating system below: K1 K3 K4 Find the following 1. Keq 2. Ceq 3. Natural angular velocity K2 m C1 C3 C5 C2 C4 4. Damped angular velocity 5. Type of Damping 6. Equation of motion x(t). Assume Initial conditions for displacement and velocity Graph 2 cycles of the vibrating system. You can use third party app for this. 7. M = 10 kg K1=100 N/m K2= 80 N/m K3=75 N/m K4= 120 N/m C1 = 20Ns/m C2= 40 Ns/m C3= 35Ns/m C4= 15 Ns/m C5= 10 Ns/m
Task 1 For the shown spring-mass-damper system. Let m =1 kg, b = 2 N.s/m, k =2 N/m and ft) = sin2t N. (a) Write the equation of motion. (b) Find the amplitude of the steady state oscillations. (c) In steady state, find the time delay in seconds between the mass position and At). (d) Find the steady state maximum acceleration.
For the shown spring-mass-damper system. Let m =1 kg, b = 2 N.s/m, k = 2 N/m and t) = sin2t N. (a) Write the equation of motion. (b) Find the amplitude of the steady state oscillations. (c) In steady state, find the time delay in seconds between the mass position and (t).
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