An experimental nonlinear oscillator subject to two-frequency excitation

This paper describes some interesting nonlinear behavior in the response of an experimental mechanical oscillator. The focusis on the characterization of nonlinear response (subharmonic, quasiperiodic and chaotic) of a discrete mechanical oscillator subject to two-frequency excitation. A variety of analysis tools are illustrated, including power spectra, time-lag embedding, dimension,and Poincaré sectioning. A key element in this study is whether the frequencies are commensurate or not. An excellent agreement is shown between experimental data and the output from numerical simulation.

Duke Scholars

Author Lawrence N. Virgin Thomas Lord Department of Mechanical Engineering and Materia ...