Question

Consider a mass-spring-dashpot system as shown in Figure. The mathematical model for this system is represented by $m\ddot{x} + b\dot{x} + kx = f(t)$ where m is the equivalent mass of the system, b is the damping ratio (or viscous friction coefficient), k is the spring stiffness, and $f(t)$ is the forcing function in the x-direction. Use MATLAB/SIMULINK to simulate the response of this system to unit step input. a. Model the SIMULINK block diagram for representing the equation of motion (the above second order differential equation). b. Show the step response with given values from a scope in the SIMULINK workspace window. Send the output to the workspace and plot time (tout) vs. simout. c. Assume that $m = 2.0 \text{ kg}$, $b = 0.7 \text{ N} \cdot \text{s}/\text{m}$, $k = 1 \text{ N}/\text{m}$, and running time $t = 30$ seconds.

          Consider a mass-spring-dashpot system as shown in Figure. The mathematical model for this
system is represented by
$m\ddot{x} + b\dot{x} + kx = f(t)$
where m is the equivalent mass of the system, b is the damping ratio (or viscous friction
coefficient), k is the spring stiffness, and $f(t)$ is the forcing function in the x-direction.
Use MATLAB/SIMULINK to simulate the
response of this system to unit step input.
a. Model the SIMULINK block diagram for
representing the equation of motion (the above
second order differential equation).
b. Show the step response with given values from
a scope in the SIMULINK workspace window.
Send the output to the workspace and plot time
(tout) vs. simout.
c.
Assume that $m = 2.0 \text{ kg}$, $b = 0.7 \text{ N} \cdot \text{s}/\text{m}$,
$k = 1 \text{ N}/\text{m}$, and running time $t = 30$ seconds.

Consider a mass-spring-dashpot system as shown in Figure. The mathematical model for this
system is represented by
mẍ + bẋ + kx = f(t)
where m is the equivalent mass of the system, b is the damping ratio (or viscous friction
coefficient), k is the spring stiffness, and f(t) is the forcing function in the x-direction.
Use MATLAB/SIMULINK to simulate the
response of this system to unit step input.
a. Model the SIMULINK block diagram for
representing the equation of motion (the above
second order differential equation).
b. Show the step response with given values from
a scope in the SIMULINK workspace window.
Send the output to the workspace and plot time
(tout) vs. simout.
c.
Assume that m = 2.0 kg, b = 0.7 N·s/m,
k = 1 N/m, and running time t = 30 seconds.

Added by John C.

Question

Please give Ace some feedback