The Choice of Orthogonal Polynomials in the Rational Fraction Polynomial Method
MI Friswell & JET Penny (Aston University)
Modal Analysis: The International Journal of Analytical and Experimental Modal Analysis, Vol. 8, No. 3, 1993, pp. 257-262
This technical note gives a variation of the rational fraction polynomial method which allows easy global estimation of natural frequencies and damping ratios. Only one set of orthogonal polynomials is used rather than expressing the denominator in terms of a different set of orthogonal polynomials for each FRF, as in the standard method. Using different sets of orthogonal polynomials in the standard method leads to difficulties in combining information from different FRFs to produce global estimates of frequency and damping. The method described in this note avoids these difficulties.
This material has been published in the Modal Analysis: The International Journal of Analytical and Experimental Modal Analysis, Vol. 8, No. 3, 1993, pp. 257-262, 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