Conference proceeding
Damped Transition of a Strongly Nonlinear System of Coupled Oscillators Into a State of Continuous Resonance Scattering
Volume 4: 8th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A and B, Vol.4, pp.839-845
ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Washington, DC, USA, Aug. 28 - 31, 2011
01/01/2011
DOI: 10.1115/DETC2011-47950
Abstract
We examine analytically and experimentally a new phenomenon of ‘continuous resonance scattering’ in an impulsively excited, two-mass oscillating system. This system consists of a grounded damped linear oscillator with a light, strongly nonlinear attachment. Previous numerical simulations revealed that for certain levels of initial excitation, the system engages in a special type of response that appears to track a solution branch formed by the so-called ‘impulsive orbits’ of this system. By this term we denote the periodic (under conditions of resonance) or quasi-periodic (under conditions of non-resonance) responses of the system when a single impulse is applied to the linear oscillator with the system being initially at rest. By varying the magnitude of the impulse we obtain a manifold of impulsive orbits in the frequency-energy plane. It appears that the considered damped system is capable of entering into a state of continuous resonance scattering, whereby it tracks the impulsive orbit manifold with decreasing energy. Through analytical treatment of the equations of motion, a direct relationship is established between the frequency of the nonlinear attachment and the amplitude of the linear oscillator response, and a prediction of the system response during continuous scattering resonance is provided. Experimental results confirm the analytical predictions.
Details
- Title: Subtitle
- Damped Transition of a Strongly Nonlinear System of Coupled Oscillators Into a State of Continuous Resonance Scattering
- Creators
- David Andersen - University of Illinois Urbana-ChampaignXingyuan Wang - University of Illinois at Urbana–ChampaignYuli Starosvetsky - University of Illinois at Urbana–ChampaignKevin Remick - University of Illinois at Urbana–ChampaignAlexander Vakakis - University of Illinois at Urbana–ChampaignMercedes Mane - University of Illinois at Urbana–ChampaignSean Hubbard - University of Illinois at Urbana–ChampaignLawrence Bergman - University of Illinois at Urbana–Champaign
- Resource Type
- Conference proceeding
- Publication Details
- Volume 4: 8th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A and B, Vol.4, pp.839-845
- Conference
- ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Washington, DC, USA, Aug. 28 - 31, 2011
- DOI
- 10.1115/DETC2011-47950
- Publisher
- ASMEDC
- Language
- English
- Date published
- 01/01/2011
- Academic Unit
- Electrical and Computer Engineering; Physics and Astronomy
- Record Identifier
- 9984197178202771
Metrics
9 Record Views