A Parametric Identification Method for Discrete Nonlinear Systems Incorporating Cubic Stiffness Elements

Y Benhafsi, JET Penny & MI Friswell (Aston University)

Modal Analysis: The International Journal of Analytical and Experimental Modal Analysis, Vol. 7, No. 3, 1992, pp. 179-195

Abstract

A procedure based on the use of the describing function is presented to identify the parameters of a nonlinear system incorporating cubic stiffness elements. The procedure uses frequency response data at resonance, obtained from different forcing levels, to identify both the linear and nonlinear parameters of the system. Under noisy conditions an effective variance method of solution is used which shows less sensitivity to noise than the classical weighted least squares method. Furthermore, the method gives encouraging results when used as a means for locating cubic elements within the system. Simulated experiments and results are included to illustrate the feasibility of the method under noisy measurement conditions.

Paper Availability

This material has been published in the Modal Analysis: The International Journal of Analytical and Experimental Modal Analysis, Vol. 7, No. 3, 1992, pp. 179-195, the only definitive repository of the content that has been certified and accepted after peer review. Copyright and all rights therein are retained by Society for Experimental Mechanics. The Society for Experimental Mechanics stopped publishing Modal Analysis at the end of 1996. Sage Science Publishers, Thousand Oaks, California, purchased the rights and incorporated Modal Analysis into its existing publication, The Journal of Vibration and Control.


Society for Experimental Mechanics