| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 758335 | Communications in Nonlinear Science and Numerical Simulation | 2013 | 8 Pages |
Abstract
In this work we propose a class of problems in nonlinear vibrations related to avoiding undesirable hysteresis and jump phenomena and offer sample conservative systems for which the backbone curve is a straight vertical line.
► The backbone curve is a feature of an unforced nonlinear conservative oscillator. ► The backbone curve describes its amplitude–frequency relationship. ► We present a variety of nonlinear oscillators with a straight vertical backbone curve. ► When forced, such oscillators do not exhibit unwanted hysteresis and jump phenomena. ► We derive an exact closed-form O.D.E. yielding a straight-line backbone curve.
Related Topics
Physical Sciences and Engineering
Engineering
Mechanical Engineering
Authors
Ivana Kovacic, Richard Rand,