Identification of multi-degree of freedom systems with nonproportional damping using the resonant decay method

Journal of Vibration and Acoustics

Volumn 126, Issue 2, 2004, Pages 298-306

  Naylor, Steven ^a   Platten, Michael F ^b   Wright, Jan R ^b   Cooper, Jonathan E ^b  

^a ARVINMERITOR INC   (United States)

^b UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DEGREES OF FREEDOM (MECHANICS); MATHEMATICAL MODELS; MODAL ANALYSIS; NATURAL FREQUENCIES; PLATES (STRUCTURAL COMPONENTS); REGRESSION ANALYSIS; STIFFNESS MATRIX;

DAMPING COUPLING EFFECT; MODAL DAMPING MATRIX; NONPROPORTIONAL DAMPING; RESONANT DECAY METHOD;

DAMPING;

EID: 3943071119     PISSN: 10489002     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1687395     Document Type: Article

References (21)

1. Hasselman, T. K., 1976, "Modal Coupling in Lightly Damped Systems," AIAA J., 14(11), pp. 1627-1628.
2. Park, S., Park, I., and Fai, M., 1992, "Decoupling Approximations of Nonclassically Damped Systems," AIAA J., 30(9), pp. 2348-2351.
3. Caravani, P., and Thomson, W. T, 1974, "Identification of Damping Coefficients in Multidimensional Linear Systems," ASME J. Appl. Mech., 41, pp. 379-382.
4. Hanagud, S., Meyuppa, M., Cheng, Y. P., and Craig, J. I., 1984, "Identification of Structural Dynamic Systems with Non-proportional Damping," Proceedings of the 25th SDM Conference, Palm Springs, pp. 283-291.
5. Fritzen, C.-P., 1986, "Identification of Mass, Damping and Stiffness Matrices of Mechanical Systems," ASME J. Vibr. Acoust., 108, pp. 9-16.
6. Minas, C., and Inman, D. J., 1991, "Identification of Non-proportional Damping Matrix from Incomplete Information," ASME J. Vibr. Acoust., 113, pp. 219-224.
7. Mohammad, K. S., Worden, K., and Tomlinson, G. R., 1992, "Direct Parameter Estimation for Linear and Non-linear Systems," J. Sound Vib., 152(3), pp. 471-499.
8. Pilkey, D. F., and Inman, D. J., 1997, "An Iterative Approach to Viscous Damping Matrix Identification," Proceedings of the 15th International Modal Analysis Conference, pp. 1152-1157.
9. Hasselman, T. K., 1972, "Method of Constructing a Full Modal Damping Matrix from Experimental Measurements," AIAA J., 10(4), pp. 526-527.
10. Hasselman, T. K., and Chrostowski, J. D., 1993, "Estimation of Full Modal Damping Matrices from Complex Test Modes," AIAA Paper, Paper 93-1668-CP.
11. Vold, H., Melo, A., and Sergent, P., 1992, "Phase Errors in Component Mode Synthesis," Proceedings of the 10th International Modal Analysis Conference, pp. 1132-1134.
12. Zhang, Q., and Lallement, G., 1985, "Simultaneous Determination of Normal Eigenmodes and Generalized Damping Matrix from Complex Eigenmodes," Proceedings of the 2nd International Symposium on Aeroelasticity and Structural Dynamics, pp. 529-535.
13. Placidi, F., Poggi, F., and Sestieri, A., 1991, "Real Modes Computation from Identified Modal Parameters with Estimate of Generalized Damping," Proceedings of the 9th International Modal Analysis Conference, pp. 572-579.
14. Alvin, K. F., Park K. C., and Peterson, L. D., 1993, "Extraction of Undamped Normal Modes and Non-diagonal Damping Matrix from Damped System Realization Parameters," AIAA Paper 93-1653-CP.
15. Nash, M., 1991, "A Modification of the Multivariate Mode Indicator Function employing Principal Force Vectors," Proceedings of the 9th International Modal Analysis Conference, pp.688-693.
16. Rades, M., 1981, "On Modal Analysis of Systems with Non-proportional Damping," Rev. Roumaine Sci. Tech. Sér. Méc. Appl., 26(4), pp. 605-622.
17. Naylor, S., 1988, "Identification of Non-proportionally Damped Systems using a Force Appropriation Technique," PhD Thesis, University of Manchester, UK.
18. Naylor, S., Cooper, J. E., and Wright, J. R., 1997, "On the Estimation of Modal Matrices with Non-proportional Damping," Proceedings of the 15th International Modal Analysis Conference, pp. 1371-1378.
19. Naylor, S., Wright, J. R., and Cooper, J. E., 1998, "Identification of Non-proportionally Damped Systems using a Force Appropriation Technique," Proceedings of the 23rd International Seminar on Modal Analysis, pp. 481-488.
20. Naylor, S., Wright, J. R., and Cooper, J. E., 1999, "Identification of a Non-proportionally Damped Truss System," International Forum on Aeroelasticity and Structural Dynamics, pp. 847-856.
21. Golub, G. H., and Van Loan, C. F., 1989, Matrix Computations 2nd Edition, Johns Hopkins University Press, Baltimore.