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Classical Mechanics, Second Edition, 2nd Edition
book

Classical Mechanics, Second Edition, 2nd Edition

by Tai L. Chow
May 2013
Intermediate to advanced content levelIntermediate to advanced
639 pages
23h 12m
English
CRC Press
Content preview from Classical Mechanics, Second Edition, 2nd Edition
283Nonlinear Oscillations
© 2010 Taylor & Francis Group, LLC
9.3 FOURIER SERIES EXPANSIONS
The Fourier series method is quite versatile and applies in any situation where the motion is peri-
odic. As an example of application to nonlinear oscillations, we consider a free oscillation with
nonlinear restoring forces, where the potential energy is an arbitrary function of x, V = V(x). There is
no loss in generality by setting V(0) = 0 at the equilibrium position x = 0. We further limit ourselves
to a stable equilibrium where
V(x) > 0 for x ≠ 0 and dV(0)/dx = 0.
Then Taylor’s expansion of V(x), for small oscillations, at the equilibrium position ...
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Publisher Resources

ISBN: 9781466569980