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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
273
© 2010 Taylor & Francis Group, LLC
Nonlinear Oscillations
Most oscillation systems are really nonlinear, and linear oscillations are the exceptions. If the
restoring force deviates from a linear dependence in the displacement or if the damping force is
nonlinear in the velocity, the motion about a point of stable equilibrium is no longer linear and the
motion is anharmonic or nonlinear. The general equation of motion for such a system is, for the one-
dimensional case, a nonlinear differential equation of the following form:
mx gx fx

++=
() ()
0
. (9.1)
Here, f(x), the restoring force, is not proportional to x;
gx()
, the damping term, is not ...
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Publisher Resources

ISBN: 9781466569980