Question

Use the 1-DOF EOM at the right to complete this problem. The EOM describes a damped system that is being impacted by a force Fh 300N over a period of Δt-0.01s. Note that δ(t) represents the unit impulse function and z is measured in meters. a. Verify that the system is underdamped. b. For zero initial conditions (ro0), what is the total response (t)? Plot the response in MATLAB. c. For zo1 m and o 0, what is the total response r(t)?

Answer 1

(AN 睿U under damping

b Laplare lor O on botb sdeo S+0.55 ty J By par hal Rachon (s+0.25) +3.4375 8y applying Jnce xe): 0.76 ео-25. Sin 11.98 t) laplane 0.25t
MATLAB CODE :

clc;
clear all;
t=0:0.01:10
x=(0.76.*exp(-0.25.*t).*sin(1.98.*t));
plot(t,x)

PLOT :

0.8 0.4 0.2 0 0.2 0.4 -0.6し 0 1 234 5 6 78 9 10

00n both sido

1.5 .25 (3+0-25)+3-9375 S+025 8.9315 -o.25t
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