TECHNICAL NOTES
May 15, 2009

Mechanical Model Parameters for Viscoelastic Dampers

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Publication: Journal of Engineering Mechanics
Volume 135, Issue 6

Abstract

Models of varying complexities are being used to represent the frequency-dependent dynamic force deformation characteristics of viscoelastic dampers. More sophisticated models with real or complex fractional derivatives can definitely capture the frequency-dependent properties better. However, since these advanced models add complexity in the analysis of structures, the use of two classical models—a Kelvin chain and a Maxwell ladder—consisting of usual dashpots and springs is suggested. In this technical note, we provide explicit steps and necessary formulas to calculate the parameters of these two proposed models to provide desired frequency-dependent characteristics represented by the storage and loss moduli.

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Acknowledgments

This research is sponsored by the National Science Foundation through Grant Nos. NSFCMS-9987469 and NSFCMS0201475. This support is gratefully acknowledged.

References

Baumgaertel, M., and Winter, H. H. (1989). “Determination of discrete relaxation and retardation time spectra from dynamic mechanical data.” Rheol. Acta, 28, 511–519.
Chang, T.-S. (2002). “Seismic response of structures with added viscoelastic dampers.” Ph.D. thesis, Dept. of Engineering Science and Mechanics, Virginia Tech., Blacksburg, Va.
Ferry, J. D. (1980). Viscoelastic properties of polymers, 2nd Ed., Wiley, New York.
Flugge, W. (1975). Viscoelasticity, 2nd Ed., Springer, New York.
Gross, B. (1953). Mathematical structure of the theories of viscoelasticity, Hermann and Cie, Paris.
Makris, N., and Constantinou, M. C. (1993). “Models of viscoelasticity with complex-order derivatives.” J. Eng. Mech., 119(7), 1453–1464.
Singh, M. P., and Chang, T. S. (2009). “Seismic analysis of structures with viscoelastic dampers.” J. Eng. Mech., 135(6), 571–580.
Wolfram, S. (1996). The mathematica, 3rd Ed., Cambridge University Press, New York.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 135Issue 6June 2009
Pages: 581 - 584

History

Received: Sep 19, 2006
Accepted: Nov 14, 2008
Published online: May 15, 2009
Published in print: Jun 2009

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Notes

Note. Associate Editor: Andrew W. Smyth

Authors

Affiliations

T.-S. Chang
Instructor, Dept. of Physics, Virginia Tech, Blacksburg, VA 24061.
M. P. Singh, F.ASCE
Preston Wade Professor, Dept. of Engineering Science and Mechanics, Virginia Tech, Blacksburg, VA 24061.

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