Noise-influenced response of duffing oscillator

Abstract

Noise is unavoidable and present in a range of engineering systems, and it can play a significant role in influencing system dynamics. In the present study, a combination of experimental and numerical studies are undertaken to understand the responses of Duffing oscillators with hardening and softening spring characteristics. To serve as a prototype for hardening type and softening type oscillators, a cantilever structure with a magnet at the free end is considered. This tip magnet is located in the magnetic field of another magnet that is fixed in position. In the presence of harmonic excitations, the complex motions of this system are examined through experimental and numerical means. The influence of noise on the system response is studied, and it is shown that with an appropriate level of noise, the chaotic behavior of a harmonically forced oscillator can be significantly influenced. The present work provides a glimpse into the possibilities for noise-influenced responses.

Publication Title

ASME International Mechanical Engineering Congress and Exposition Proceedings Imece

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