Forced Harmonic Vibration of an Asymmetric Duffing Oscillator
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Two nonlinear asymmetric systems are described in this chapter. The first is a pure cubic nonlinear oscillator with a constant and a harmonic force acting on it, associated with a vibration isolator. The second is a hanging cable which the asymmetry is caused by gravity. Both of these systems have a single-well potential. The equations of motion can be written in such a way that they include a quadratic and cubic nonlinearity, and only a harmonic forcing term. Different analytical and numerical approaches are used to study and illustrate the rich dynamics of the systems. © 2011 John Wiley & Sons, Ltd. All rights reserved.
How to cite this document
Kovacic, Ivana; Brennan, Michael J.. Forced Harmonic Vibration of an Asymmetric Duffing Oscillator. The Duffing Equation: Nonlinear Oscillators and their Behaviour, p. 277-322. Available at: <http://hdl.handle.net/11449/219947>.