Characterization of Nonlinear Vibrating Systems Using Internal Feedback and Frequency Response Modulation

Author:

Adams D. E.1,Allemang R. J.1

Affiliation:

1. Structural Dynamics Research Laboratory (UC-SDRL), University of Cincinnati, PO Box 210072, Cincinnati, OH 45221-0072

Abstract

The authors have developed a general frequency response function formulation in a previous article that relates the frequency responses of linear and nonlinear systems. This formulation is based on a spatial perspective of the nonlinearity as an internal feedback force. The present article gives a general interpretation of both the feedback perspective and the previously derived modulation frequency response relationships. A new method of characterizing nonlinear structural dynamic systems that is based on the frequency response relationships is then introduced.

Publisher

ASME International

Subject

General Engineering

Reference9 articles.

1. Adams, D. E., and Allemang, R. J., 1998, “Survey of Nonlinear Detection and Identification Techniques for Experimental Vibrations,” Proceedings of the 1998 International Conference on Noise and Vibration Engineerings, Vol. 1, pp. 269–281.

2. Adams, D. E., and Allemang, R. J., 1999, “Demonstration of Multiple Degree of Freedom Nonlinear System Identification Using Time and Frequency Domain Methods,” Proceedings of the International Modal Analysis Conference XVII, Vol. I, pp. 315–322.

3. Adams, D. E., and Allemang, R. J., 1999, “A Spatial Method of Characterizing Nonlinearities in Multiple Degree of Freedom Vibrating Systems,” Proceedings of the International Modal Analysis Conference XVII, Vol. II, pp. 1195–1202.

4. Adams, D. E., and Allemang, R. J., 1999, “A New Derivation of the Frequency Response Function Matrix for Vibrating Nonlinear Systems,” Accepted for publication in Journal of Sound and Vibration.

5. Adams, D. E., and Allemang, R. J, 1999, “A Frequency Domain Method for Estimating the Parameters of a Nonlinear Structural Dynamic Model through Feedback,” submitted for review to Mechanical Systems and Signal Processing.

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