APPLICATION OF THE CONDITIONED REVERSE PATH METHOD
The conditioned reverse path (CRP) method has been applied to identify the non-linear behaviour of a beam-like structure, both ends clamped, one with a non-linear stiffness characteristic. The same method was already successfully applied to the identification of another COST benchmark, known as the...
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| Published in | Mechanical systems and signal processing Vol. 17; no. 1; pp. 227 - 235 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
2003
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| Online Access | Get full text |
| ISSN | 0888-3270 1096-1216 |
| DOI | 10.1006/mssp.2002.1564 |
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| Abstract | The conditioned reverse path (CRP) method has been applied to identify the non-linear behaviour of a beam-like structure, both ends clamped, one with a non-linear stiffness characteristic. The same method was already successfully applied to the identification of another COST benchmark, known as the VTT non-linear suspension.
This benchmark shows the enhancements of the technique, now applied to a real multi-degree-of-freedom (mdof) system, with single-point excitation subject to bending modes; the non-linearity is acting on one end of the beam in terms of displacements.
The CRP technique is based on the construction of a hierarchy of uncorrelated response components in the frequency domain, allowing the estimation of the coefficients of the non-linearities away from the location of the applied excitation and also the identification of the linear dynamic compliance matrix when the number of excitations is smaller than the number of response locations. |
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| AbstractList | The conditioned reverse path (CRP) method has been applied to identify the non-linear behaviour of a beam-like structure, both ends clamped, one with a non-linear stiffness characteristic. The same method was already successfully applied to the identification of another COST benchmark, known as the VTT non-linear suspension.
This benchmark shows the enhancements of the technique, now applied to a real multi-degree-of-freedom (mdof) system, with single-point excitation subject to bending modes; the non-linearity is acting on one end of the beam in terms of displacements.
The CRP technique is based on the construction of a hierarchy of uncorrelated response components in the frequency domain, allowing the estimation of the coefficients of the non-linearities away from the location of the applied excitation and also the identification of the linear dynamic compliance matrix when the number of excitations is smaller than the number of response locations. The conditioned reverse path (CRP) method has been applied to identify the non-linear behaviour of a beam-like structure, both ends clamped, one with a non-linear stiffness characteristic. The same method was already successfully applied to the identification of another COST benchmark, known as the VTT non-linear suspension. This benchmark shows the enhancements of the technique, now applied to a real multi-degree-of-freedom (mdof) system, with single-point excitation subject to bending modes; the non-linearity is acting on one end of the beam in terms of displacements. The CRP technique is based on the construction of a hierarchy of uncorrelated response components in the frequency domain, allowing the estimation of the coefficients of the non-linearities away from the location of the applied excitation and also the identification of the linear dynamic compliance matrix when the number of excitations is smaller than the number of response locations. |
| Author | GARIBALDI, L. |
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| Cites_doi | 10.1006/jsvi.1999.3005 10.1115/1.3162537 10.1006/jsvi.1998.1522 10.1006/mssp.2000.1292 10.1080/0020718508961129 10.1016/0888-3270(89)90053-8 10.1006/mssp.1998.0170 10.1155/1993/438416 |
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| References | BENDAT (RF1) 1990 S. MARCHESIELLO, L. GARIBALDI, J. R. WRIGHT, J. E. COOPER, 2000, Proceedings of the European COST F3 Conference on System Identification & Structural Health Monitoring, E.T.S.I. Aeronáuticas, Universidad Politécnica de Madrid, Applications of the conditioned reverse path method to multi-degree-of-freedom non-linear systems FITZPATRICK, RICE (RF16) 2000; 237 RICHARDS, SINGH (RF13) 1998; 213 WORDEN, TOMLINSON (RF8) 1989; 2 ADAMS, ALLEMANG (RF14) 2000; 14 MASRI, SASSI, CAUGHEY (RF7) 1982; 49 AL-HADID, WRIGHT (RF9) 1989; 3 LEONTARITIS, BILLINGS (RF6) 1985; 41 BELLIZZI, BOUC, DEFILIPPI (RF10) 1998; 12 BENDAT, PIERSOL (RF17) 1986 K. WORDEN, 1989, Heriot-Watt University, Edinburgh, U.K. Parametric and non-parametric identification of non-linearity in structural dynamics S. A. BILLINGS, K. M. TSANG, G. R. TOMLINSON, 1988, Proceedings of the 6th International Modal Analysis Conference, Application of Narmax method to non-linear frequency response estimation S. MARCHESIELLO, L. GARIBALDI, A. FASANA, 2001, Proceedings of the International Conference on Structural System Identification, CRP application to the non-linear beam benchmark of the COST F3 Action G. R. TOMLINSON, 1985, University of Manchester, U.K. Short course notes: vibration analysis and identification of non-linear structures BENDAT (RF15) 1993; 1 S. J. GIFFORD, 1989, Heriot-Watt University, Edinburgh, U.K. Volterra series analysis of nonlinear Structures SCHETZEN (RF4) 1980 G. R. TOMLINSON, 1986, Proceedings of the 4th International Modal Analysis Conference, 837, 843, Detection, identification and quantification of nonlinearity in modal analysis—a review S. MARCHESIELLO, 1999, Scientific Report of Short-Term Scientific Mission COST, June 1999, Identification of multi-degree-of-freedom non-linear systems by reverse path and conditioned reverse path methods 10.1006/mssp.2002.1564_RF5 10.1006/mssp.2002.1564_RF3 MASRI (10.1006/mssp.2002.1564_RF7) 1982; 49 BENDAT (10.1006/mssp.2002.1564_RF1) 1990 SCHETZEN (10.1006/mssp.2002.1564_RF4) 1980 RICHARDS (10.1006/mssp.2002.1564_RF13) 1998; 213 BELLIZZI (10.1006/mssp.2002.1564_RF10) 1998; 12 BENDAT (10.1006/mssp.2002.1564_RF15) 1993; 1 FITZPATRICK (10.1006/mssp.2002.1564_RF16) 2000; 237 10.1006/mssp.2002.1564_RF18 ADAMS (10.1006/mssp.2002.1564_RF14) 2000; 14 10.1006/mssp.2002.1564_RF19 10.1006/mssp.2002.1564_RF12 LEONTARITIS (10.1006/mssp.2002.1564_RF6) 1985; 41 10.1006/mssp.2002.1564_RF2 10.1006/mssp.2002.1564_RF20 WORDEN (10.1006/mssp.2002.1564_RF8) 1989; 2 BENDAT (10.1006/mssp.2002.1564_RF17) 1986 AL-HADID (10.1006/mssp.2002.1564_RF9) 1989; 3 10.1006/mssp.2002.1564_RF11 |
| References_xml | – volume: 41 start-page: 303 year: 1985 end-page: 328 ident: RF6 article-title: Input–output parametric models for nonlinear systems: Part I–deterministic nonlinear systems publication-title: International Journal of Control – volume: 12 start-page: 693 year: 1998 end-page: 711 ident: RF10 article-title: Response spectral densities and identification of a randomly excited non-linear squeeze film oscillator publication-title: Mechanical Systems and Signal Processing – reference: S. MARCHESIELLO, L. GARIBALDI, J. R. WRIGHT, J. E. COOPER, 2000, Proceedings of the European COST F3 Conference on System Identification & Structural Health Monitoring, E.T.S.I. Aeronáuticas, Universidad Politécnica de Madrid, Applications of the conditioned reverse path method to multi-degree-of-freedom non-linear systems – volume: 237 start-page: 357 year: 2000 end-page: 360 ident: RF16 article-title: Comments on ‘Identification of multi-degree-of-freedom non-linear systems under random excitations by the ‘reverse path’ spectral method’ publication-title: Journal of Sound and Vibration – reference: S. MARCHESIELLO, 1999, Scientific Report of Short-Term Scientific Mission COST, June 1999, Identification of multi-degree-of-freedom non-linear systems by reverse path and conditioned reverse path methods – volume: 3 start-page: 269 year: 1989 end-page: 290 ident: RF9 article-title: Developments in the force-state mapping technique for non-linear systems and the extension to the location of non-linear elements in a lumped-parameter system publication-title: Mechanical Systems and Signal Processing – reference: S. A. BILLINGS, K. M. TSANG, G. R. 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FASANA, 2001, Proceedings of the International Conference on Structural System Identification, CRP application to the non-linear beam benchmark of the COST F3 Action – reference: G. R. TOMLINSON, 1986, Proceedings of the 4th International Modal Analysis Conference, 837, 843, Detection, identification and quantification of nonlinearity in modal analysis—a review – year: 1980 ident: RF4 publication-title: The Volterra and Wiener Theories of Non-linear Systems – reference: G. R. TOMLINSON, 1985, University of Manchester, U.K. Short course notes: vibration analysis and identification of non-linear structures – reference: K. 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