| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1890111 | Chaos, Solitons & Fractals | 2009 | 7 Pages |
Abstract
An analytical method of finding the amplitude frequency and phase frequency characteristics of a forced oscillator with non-linear restoring force is proposed. The non-linear restoring force is simply fitted by a linear one with varying stiffness. The analytical expression of amplitude frequency characteristics predicts the jump or bifurcation points; and keeps highly consistent with the numerical results. This method can be used to both smooth and piecewise linear restoring force.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
S. Wang, M. Wiercigroch,