On the orthogonalised reverse path method for nonlinear system identification

Journal of Sound and Vibration

Volumn 331, Issue 20, 2012, Pages 4488-4503

  Muhamad, P ^a   Sims, N D ^a   Worden, K ^a  

^a UNIVERSITY OF SHEFFIELD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ANTI-RESONANCE; CONDITIONED REVERSE PATH METHOD; DECORRELATIONS; LINEAR DYNAMIC COMPLIANCE MATRIX; MULTI-DEGREE-OF-FREEDOM; NONLINEAR COEFFICIENT; NONLINEAR TERMS; PARAMETER ESTIMATE; REVERSE PATH; SINGLE-DEGREE-OF-FREEDOM; TIME DOMAIN;

EQUATIONS OF MOTION; LINEAR SYSTEMS; NONLINEAR SYSTEMS; PARAMETER ESTIMATION; SPECTRUM ANALYSIS;

TIME DOMAIN ANALYSIS;

EID: 84862884169     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2012.04.034     Document Type: Article

References (16)

1. G. Duffing Errzwuhgen Schwingungen bei veranderderlicher Eigenfrequenz [Forced Oscillations in the Presence of Variable Eigenfrequencies] 1918 Vieweg Braunschweig
2. G. Kerschen, K. Worden, A.F. Vakakis, and J.-C. Golinval Past, present and future of nonlinear system identification in structural dynamics Mechanical Systems and Signal Processing 20 3 2006 505 592 (Pubitemid 41766672)
3. R.J. Allemang, and D.L. Brown A unified matrix polynomial approach to modal identification Journal Sound and Vibration 211 1998 301 322
4. H.R. Busby, C. Nopporn, and R. Singh Experimental modal analysis of nonlinear system: a feasibility study Journal of Sound and Vibration 180 1986 415 427 (Pubitemid 16612338)
5. D.J. Ewins Modal Testing: Theory, Practice, and Application 2000 Research Studies Press Baldock
6. K. Worden, and G.R. Tomlinson Nonlinearity in Structural Dynamics: Detection, Identification, and Modelling 2000 Institute of Physics Bristol
7. M. Schetzen The Volterra and Wiener Theories of Nonlinear Systems 1980 John Wiley and Sons New York
8. H.J. Rice, and J.A. Fitzpatrick A generalised technique for spectral analysis of non-linear systems Mechanical Systems and Signal Processing 2 2 1988 195 207
9. D.M. Storer, and G.R. Tomlinson Recent developments in the measurement and interpretation of higher order transfer functions from non-linear structures Mechanical Systems and Signal Processing 7 2 1993 173 189
10. D.E. Adams, and R.J. Allemang A frequency domain method for estimating the parameters of a non-linear structural dynamic model through feedback Mechanical Systems and Signal Processing 14 4 2000 637 656
11. J.S. Bendat Nonlinear System Analysis and Identification from Random Data 1990 A Wiley-Interscience Publication, John Wiley & Sons Los Angeles, CA
12. C.M. Richards, and R. Singh Identification of multi-degree-of-freedom non-linear systems under random excitation by the reverse path spectral method Journal of Sound and Vibration 213 4 1998 673 708
13. G. Kerschen, and J.C. Golinval Generation of accurate finite element models of nonlinear systems-application to an aeroplane-like structure Nonlinear Dynamics 39 2005 129 142 (Pubitemid 40536363)
14. S. Marchesiello Application of the conditioned reverse path method Mechanical Systems and Signal Processing 17 1 2003 183 188
15. G. Kerschen, V. Lenaerts, and J.C. Golinval Identificatin of a continuous structure with a geometrical nonlinearity, Part 1: conditioned reverse path method Journal of Sound and Vibration 262 2003 889 906
16. W. Hoffmann Iterative algorithms for Gram-Schmidt orthogonalization Computing 41 Number 4/December 1989 335 348