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Probabilistic Models for Dynamical Systems, 2nd Edition
book

Probabilistic Models for Dynamical Systems, 2nd Edition

by Haym Benaroya, Seon Mi Han, Mark Nagurka
May 2013
Intermediate to advanced content levelIntermediate to advanced
764 pages
6h 43m
English
CRC Press
Content preview from Probabilistic Models for Dynamical Systems, 2nd Edition
8.11. Plot the solution y(x, t) of Equation 8.30 using a one-term (η
1
Y
1
), a two-term (η
1
Y
1
+ η
2
Y
2
), and
a three-term (η
1
Y
1
+ η
2
Y
2
+η
3
Y
3
) approximation. What conclusions can be drawn?
Solution: Figure 34 shows the response at the free end using one, two and three term approximations. There
is almost no difference between the two and three term approximations, and the two term approximation
can yield fairly accurate results.
Figure 34: One, two, and three term approximation to the response y (L, t) for Problem 10.
243
Section 8.4: Random Vibration of Co
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Publisher Resources

ISBN: 9781439849897