Skip to Main Content
Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition
book

Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition

by Harold Klee, Randal Allen
April 2016
Intermediate to advanced content levelIntermediate to advanced
815 pages
31h 29m
English
CRC Press
Content preview from Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition
4.3.3 IMPULSE RESPONSE
The response of LTI systems to an impulse forcing function is of great interest. We shall see why
momentarily, but rst an example is presented illustrating the process of nding the response of a
simple system to an ‘‘impulse-like’’ input and comparing it with the true impulse response of the
system.
Example 4.8
A spring-mass-damper system is struck by a hammer resulting in a force f(t) like the one shown in
Figure 4.7.
(a) Find and graph the response x(t) for T ¼1, 0.5, 0.1, 0.01 s.
(b) Find and graph the impulse response.
(a) The differential equation model of the system is
m
x þ c
_
x þ kx ¼ f )
x þ 2
_
x þ 4x ¼
1
T
[
^
u(t)
^
u(t
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Start your free trial

You might also like

Digital Signal Processing with Examples in MATLAB, 2nd Edition

Digital Signal Processing with Examples in MATLAB, 2nd Edition

Samuel D. Stearns, Donald R. Hush

Publisher Resources

ISBN: 9781439836736