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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
(c) Find the general solution for P
k
, k ¼1, 2, 3, . . . when
(i) d
k
¼
0, k ¼ 0
D, k ¼ 1, 2, 3, ...
(ii) d
k
¼
0, k ¼ 0, 2, 4, ...
D, k ¼ 1, 3, 5, ...
(iii) d
k
¼
0, k ¼ 0
2D, k ¼ 1, 3, 5, ...
D, k ¼ 2, 4, 6, ...
(
4.68 Figure E4.68 shows the relationship between acceleration, velocity, and position of a particle
moving along a straight line.
A(s) V(s) X(s)
1
s
1
s
0
t
v(t)=
a(t΄) dt΄
0
t
x(t)=
ν(t΄) dt΄
FIGURE E4.68
(a) Write the differential equations relating v(t) and a(t), x(t) and v(t), and x(t) and a(t).
(b) Use trapezoidal integration to approximate the three differential equations. That is, nd
the difference equations relating v
k
and a
k
, x
k
and v
k
, and x
k
and a
k
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Publisher Resources

ISBN: 9781439836736