An extension of force appropriation to the identification of non-linear multi-degree of freedom systems

Journal of Sound and Vibration

Volumn 237, Issue 1, 2000, Pages 23-43

  Atkins, P A ^a,c   Wright, J R ^a   Worden, K ^b  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

^b UNIVERSITY OF SHEFFIELD   (United Kingdom)

^c RICARDO UK LTD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CURVE FITTING; DEGREES OF FREEDOM (MECHANICS); HARMONIC ANALYSIS; MATHEMATICAL MODELS; MODAL ANALYSIS; OPTIMIZATION; VECTORS;

FORCE APPROPRIATION METHODS; RESTORING FORCE METHOD;

STRUCTURAL ANALYSIS;

EID: 0034298305     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.2000.3033     Document Type: Article

References (26)

1. D. J. EWINS 1995 Modal Testing Theory and Practice. Research Studies Press.
2. R. WILLIAMS, J. CROWLEY and H. VOLD 1986 Proceedings of 3rd International Modal Analysis Conference, 66-70. The multivariate mode indicator function in modal analysis.
3. K. ALEXIOU and J. R. WRIGHT 1993 International Journal of Analytical and Experimental Modal Analysis 8, 119-136. Comparison of some direct multi-point force appropriation methods.
4. M. J. HAMILTON, J. E. COOPER and J. R. WRIGHT 1985 International Journal of Experimental and Analytical Modal Analysis, 10, 118-130. Experimental evaluation of various normal mode force appropriation methods.
5. K. WORDEN, P. K. STANSBY, G. R. TOMLINSON and S. A. BILLINGS 1994 Journal of Fluids and Structures, 8, 19-71. Identification of non-linear wave forces.
6. S. A. BILLINGS, K. M. TSANG and G. R TOMLINSON, 1988 Proceedings of 6th International Modal Analysis Conference. Application of the NARMAX method to non-linear frequency response estimation.
7. M. WEILAND and M. LINK 1996 Proceedings of 14th International Modal Analysis Conference, Dearborn, 525-531. A direct parameter estimation method for weak non-linear systems.
8. Y. BEN-HAIM 1993 ASME Journal of Vibration and Acoustics, 115, 246-255. Identification of certain polynomial non-linear structures by adaptive selectively-sensitive excitation.
9. S. W. SHAW and C. PIERRE 1993 Journal of Sound and Vibration 164, 85-124. Normal modes for non-linear vibratory systems.
10. A. F. VAKAKIS, L. I. MANEVITCH, Y. V. MIKHLIN, V. N. PILIPCHUK and A. A. ZEVIN 1996 Series in Non-linear Science. New York: John Wiley. Normal modes and localisation in non-linear systems.
11. S. F. MASRI and T. K. CAUGHEY 1979 ASME Journal of Applied Mechanics 46, 433-447. A non-parametric identification technique for non-linear dynamic problems.
12. E. F. CRAWLEY and A. C. AUBERT 1986 AIAA Journal 24, 155-162. Identification of non-linear structural elements by force-state-mapping.
13. M. A. AL-HADID and J. R. WRIGHT 1990 Mechanical Systems and Signal Processing 4, 463-482. Application of the force-state mapping approach to the identification of non-linear systems.
14. K. WORDEN, J. R. WRIGHT, M. A. AL-HADID and K. S. MOHAMMAD 1994 Modal Analysis: the International Journal of Analytical and Experimental Modal Analysis 9, 35-55. Experimental identification of multi-degree of freedom non-linear systems using restoring force methods.
15. M. A. AL-HADID and J. R. WRIGHT 1989 Mechanical Systems and Signal Processing 3, 269-290. 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.
16. K. WORDEN and G. R. TOMLINSON 1989 Proceedings of 7th International Modal Analysis Conference, 1347-1355. Application of the restoring force method to non-linear elements.
17. P. A. ATKINS 1997 Ph.D. Thesis, University of Manchester. Extension of force appropriation to the identification of non-linear systems.
18. P. A. ATKINS and J. R. WRIGHT 1996 Proceedings of the 21st International Seminar on Modal Analysis, Leuven. An extension of force appropriation for non-linear systems.
19. P. A. ATKINS and J. R. WRIGHT 1997 Proceedings of the 6th International Conference on Recent Advances in Structural Dynamics, Southampton, July. Estimating the behaviour of a non-linear experimental multi degree of freedom system using a force appropriation approach.
20. M. SCHETZEN 1980 The volterra and Wiener Theories of Non-linear systems. New York: John Wiley Interscience Publications.
21. J. GUCKENHEIMER and P. HOLMES 1983 Non-linear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. Berlin: Springer Verlag.
22. K. WORDEN 1992 Structural Identification: Dynamic Methods and Diagnostics. ISMES. Characterisation of non-linear systems using time data, Bergamo, Italy.
23. W. H. PRESS, W. T. VETTERING, S. A. TEULOSKY and B. P. FLANNERY 1992 Numerical Recipes in FORTRAN. Cambridge University Press.
24. D. E. GOLDBERG 1989 Genetic Algorithms in Search, Optimisation and Machine Learning. Reading, MA: Addison-Wesley Publishing Company Inc.
25. K. WORDEN 1990 Mechanical Systems and Signal Processing 4, 321-344. Data processing and experiment design for the restoring force surface method. Part II: choice of excitation signal.
26. E. KREYSZIG 1988 Advanced Engineering Mathematics. New York: John Wiley & Sons Inc, 6th edition.