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Analysis of Coupled Electromechanical Oscillators by a Band-Pass, Reduced Complexity, Volterra Method

[+] Author Affiliations
Nikolaos I. Xiros, Ioannis T. Georgiou

National Technical University of Athens

Paper No. IMECE2005-81487, pp. 215-224; 10 pages
doi:10.1115/IMECE2005-81487
From:
  • ASME 2005 International Mechanical Engineering Congress and Exposition
  • Applied Mechanics
  • Orlando, Florida, USA, November 5 – 11, 2005
  • Conference Sponsors: Applied Mechanics Division
  • ISBN: 0-7918-4212-6 | eISBN: 0-7918-3769-6
  • Copyright © 2005 by ASME

abstract

Nonlinear analysis of a typical electromechanical coupled oscillator is approached by using Volterra polynomial series representation for nonlinear systems. The problem is formulated in a band-pass framework, allowing the study of transmission of power and information over the same line from the excitation voltage source to the final electromagnetic transducer stage. An input-output, black-box, monochromatic identification technique is applied, in order to obtain a simple, yet nonlinear, small-signal model for the low-pass modulating envelope of the excitation. The small-signal model consists of a low-order static polynomial nonlinearity intermitted between two linear MA filters. The procedure is carried completely in the frequency domain. The most important of the advantages, offered by the proposed methodology, is that identification is performed by employing only the fundamental harmonic component of the response to single sinusoidal inputs of various frequencies and amplitudes that sweep the band and range of interest.

Copyright © 2005 by ASME

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