PARAMETRIC IDENTIFICATION OF AN EXPERIMENTAL MAGNETO-ELASTIC OSCILLATOR

✍ Scribed by B.F. FEENY; C.-M. YUAN; J.P. CUSUMANO

• Book ID: 102975594
• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 506 KB
• Volume: 247
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.2001.3694

✦ Synopsis

The identi"cation 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 di!erential-equation model is assumed, with unknown coe$cients 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 identi"cation 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 "eld.