0
TECHNICAL PAPERS

Identification of Multi-Degree of Freedom Systems With Nonproportional Damping Using the Resonant Decay Method

[+] Author and Article Information
Steven Naylor

ArvinMeritor Inc., Warton Technical Center, Hillock Lane, Warton, Preston, Lancashire, PR4 1TP UKe-mail: steven.naylor@arvinmeritor.com

Michael F. Platten, Jan R. Wright, Jonathan E. Cooper

School of Engineering, University of Manchester, Oxford Road, Manchester, M13 9PL, UK

J. Vib. Acoust 126(2), 298-306 (May 04, 2004) (9 pages) doi:10.1115/1.1687395 History: Received April 01, 2002; Revised August 01, 2003; Online May 04, 2004
Copyright © 2004 by ASME
Topics: Force , Damping , Stiffness , Errors , Shapes
Your Session has timed out. Please sign back in to continue.

References

Hasselman,  T. K., 1976, “Modal Coupling in Lightly Damped Systems,” AIAA J., 14(11), pp. 1627–1628.
Park,  S., Park,  I., and Fai,  M., 1992, “Decoupling Approximations of Nonclassically Damped Systems,” AIAA J., 30(9), pp. 2348–2351.
Caravani,  P., and Thomson,  W. T., 1974, “Identification of Damping Coefficients in Multidimensional Linear Systems,” ASME J. Appl. Mech., 41, pp. 379–382.
Hanagud, S., Meyuppa, M., Cheng, Y. P., and Craig, J. I., 1984, “Identification of Structural Dynamic Systems with Non-proportional Damping,” Proceedings of the 25thSDM Conference, Palm Springs, pp. 283–291.
Fritzen,  C.-P., 1986, “Identification of Mass, Damping and Stiffness Matrices of Mechanical Systems,” ASME J. Vibr. Acoust., 108, pp. 9–16.
Minas,  C., and Inman,  D. J., 1991, “Identification of Non-proportional Damping Matrix from Incomplete Information,” ASME J. Vibr. Acoust., 113, pp. 219–224.
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.
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.
Hasselman,  T. K., 1972, “Method of Constructing a Full Modal Damping Matrix from Experimental Measurements,” AIAA J., 10(4), pp. 526–527.
Hasselman, T. K., and Chrostowski, J. D., 1993, “Estimation of Full Modal Damping Matrices from Complex Test Modes,” AIAA Paper, Paper 93-1668-CP.
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.
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.
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.
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.
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.
Rades,  M., 1981, “On Modal Analysis of Systems with Non-proportional Damping,” Rev. Roumaine Sci. Tech. Sér. Méc. Appl., 26(4), pp. 605–622.
Naylor, S., 1988, “Identification of Non-proportionally Damped Systems using a Force Appropriation Technique,” PhD Thesis, University of Manchester, UK.
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.
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.
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.
Golub, G. H., and Van Loan, C. F., 1989, Matrix Computations 2nd Edition, Johns Hopkins University Press, Baltimore.

Figures

Grahic Jump Location
Plate model dimensions and measurement positions
Grahic Jump Location
Modal forces and responses for the burst appropriation of mode 2 (Case A—no error)
Grahic Jump Location
Modal forces and responses for the burst appropriation of mode 3 (Case A—no error)
Grahic Jump Location
Modal forces and responses for the burst appropriation of mode 5 (Case A—no error)
Grahic Jump Location
Modal forces and responses for the burst appropriation of mode 1 (Case D—appropriation error)
Grahic Jump Location
Modal forces and responses for the burst appropriation of mode 2 (Case F—mode shape error)
Grahic Jump Location
Modified MMIF eigenvalues for two exciters and non-proportional damping (Case A)

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In