PARAMETRIC IDENTIFICATION OF AN EXPERIMENTAL MAGNETO-ELASTIC OSCILLATOR

The identification of parameters in an experimental two-well chaotic system is presented. The method involves the extraction of periodic orbits from a chaotic set. The form of the differential-equation model is assumed, with unknown coefficients appearing linearly on the terms in the model. The harm...

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Bibliographic Details
Published in:Journal of sound and vibration 2001-11, Vol.247 (5), p.785-806
Main Authors: FEENY, B.F., YUAN, C.-M., CUSUMANO, J.P.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Nonlinear dynamics and nonlinear dynamical systems
Physics
Solid mechanics
Static elasticity (thermoelasticity...)
Statistical physics, thermodynamics, and nonlinear dynamical systems
Structural and continuum mechanics
Thermoelasticity and electromagnetic elasticity (electroelasticity, magnetoelasticity)
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Summary:The identification of parameters in an experimental two-well chaotic system is presented. The method involves the extraction of periodic orbits from a chaotic set. The form of the differential-equation model is assumed, with unknown coefficients appearing linearly on the terms in the model. The harmonic-balance method is applied to these periodic orbits, resulting in a linear set of equations in the unknown parameters, which can then be solved in the least-squares sense. The identification process reveals the non-linear force–displacement characteristic of the oscillator. The results are cross-checked with various sets of extracted periodic orbits. The model is validated by comparing the linearized characteristics, examining simulated responses, and evaluating the vector field.
ISSN:0022-460X
1095-8568
DOI:10.1006/jsvi.2001.3694