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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
10 Nonlinear and Stochastic Dynamic Models
Section 10.0.2: Examples of Nonlinear Vibration
10.1. Figure 10.1 compares sin θ versus θ, showing the effect of the nonlinearity as θ increases. Find the
values of θ for which the error is 5%, 10%, and 15%. The percent error can be defined as
% error =
θ sin θ
sin θ
×100%.
Solution: The percent error equation can be rearranged to be a function of θ such that we can solve for it
given a particular error.
Let err be the percent error, then
100
θ sin θ
sin θ
= err.
The figure below shows θ vs. % error, where we can estimate the values of θ for which the error is 5%, 10%,
and 15%.
Percent error as a function of θ.
The
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Publisher Resources

ISBN: 9781439849897