Intrinsic Damping: Modeling Techniques for Engineering Systems
Publication: Journal of Structural Engineering
Volume 135, Issue 3
Abstract
Mathematical models for capturing the effects of intrinsic damping are based upon a multitude of simplifying assumptions. In this work, common equivalent linear models are reviewed, and their implementations for modeling energy dissipation on the system and material scales are compared in simple, representative examples. It is shown that several independent methodologies result in approximately the same predicted responses for systems with uniform dissipative characteristics if certain assumptions are made regarding the frequency dependence of intrinsic damping. However, these assumptions result in divergences of predicted responses when extended to composite systems with nonuniform dissipative characteristics. As no analytical or validated numerical solutions for the dynamic response of composite systems with nonuniform dissipative characteristics exist, it is unclear as to which methodologies most closely predict composite system behavior. Further work in developing models to capture nonuniform intrinsic damping characteristics must be performed to generate a fully robust means for capturing energy dissipation across all levels of complexity in engineering systems.
Get full access to this article
View all available purchase options and get full access to this article.
References
ASTM International. (2000). Standard test methods for modulus and damping of soils by the resonant column method, Designation D 4015-92, Philadelphia.
Bathe, K. (1996). Finite element procedures, Prentice-Hall, Upper Saddle River, N.J.
Behura, J., Batzle, M., Hofmann, R., and Dorgan, J. (2007). “Heavy oils: Their shear story.” Geophysics, 72(5), 175–183.
Bergman, L. A., and Hannibal, A. J. (1976). “An alternate approach to modal damping as applied to seismic-sensitive equipment.” Shock Vib. Bull., 46, 69–82.
Bert, C. W. (1973). “Material damping: An introductory review of mathematical measures and experimental techniques.” J. Sound Vib., 29(2), 129–153.
Bishop, R. E. D. (1955). “The treatment of damping forces in vibration theory.” J. R. Aeronaut. Soc., 59, 738–742.
Chopra, A. K. (2001). Dynamics of structures: Theory and applications to earthquake engineering, Prentice-Hall, Upper Saddle River, N.J.
Clough, R. W., and Penzien, J. P. (1993). Dynamics of Structures, McGraw-Hill, New York.
Crandall, S. H. (1970). “The role of damping in vibration theory.” J. Sound Vib., 11(1), 3–18.
Dobry, R., Whitman, R. V., and Roesset, J. M. (1971). “Soil properties and the one-dimensional theory of earthquake amplification.” Progress Rep. No. 14: Effect of Local Soil Conditions Upon Earthquake Damage, Research Rep. No. R71-18, Massachusetts Institute of Technology, Cambridge, Mass.
Feriani, A., and Perotti, F. (1996). “The formation of viscous damping matrices for the dynamic analysis of MDOF systems.” Earthquake Eng. Struct. Dyn., 25, 689–709.
Gasparini, D. A., DebChaudhury, A., and Curry, L. W. (1980). “Damping of frames with constrained viscoelastic layers.” J. Struct. Div., 106, 115–131.
Hardin, B. O. (1965). “The nature of damping in sands.” J. Soil Mech. and Found. Div., 91, 63–175.
Hardin, B. O., and Black, W. L. (1968). “Vibration modulus of normally consolidated clay.” J. Soil Mech. and Found. Div., 94, 353–369.
Inaudi, J. A., and Kelly, J. M. (1995). “Linear hysteretic damping and the Hilbert transform.” J. Eng. Mech., 121(5), 626–632.
Jones, D. I. G. (2001). Handbook of viscoelastic vibration damping, John Wiley, Chichester.
Kramer, S. L. (1995). Geotechnical earthquake engineering, Prentice-Hall, Englewood Cliffs, N.J.
Lai, C. G., and Rix, G. J. (1998). Simultaneous inversion of Rayleigh phase velocity and attenuation for near-surface site characterization, Georgia Institute of Technology Press, Atlanta.
Lazan, B. J. (1968). Damping of materials and members in structural mechanics, Pergamon, New York.
Michaels, P. (2008). “Water, intertial damping, and the complex shear modulus.” Proc., Geotechnical Earthquake Engineering and Soil Dynamics IV, GSP, 181, D. Zeng, M. T. Manzari, and D. R. Hiltunen, eds., ASCE Geo-Institute, Sacramento, Calif.
Phillips, C., and Hashash, Y. M. A. (2008). “A simplified constitutive model to simultaneously match modulus reducation and damping soil curves for nonlinear site response analysis.” Proc., Geotechnical Earthquake Engineering and Soil Dynamics IV, GSP, 181, D. Zeng, M. T. Manzari, and D. R. Hiltunen, eds., ASCE Geo-Institute, Sacramento, Calif.
Roesset, J. M., Whitman, R. V., and Dobry, R. (1973). “Modal analysis for structures with foundation interaction.” J. Struct. Div., 99, 399–416.
Scanlan, R. H. (1970). “Linear damping models and causality in vibrations.” J. Sound Vib., 13(4), 499–509.
Scanlan, R. H., and Mendelson, A. (1963). “Structural damping.” AIAA J., 1, 938–939.
Soroka, W. W. (1949). “Note on the relations between viscous and structural damping coefficients.” J. Aeronaut. Sci., 409–410, 448.
Ungar, E. E. (1992). “Damping of panels.” Noise and vibration control engineering: Principles and applications, L. L. Beranek, ed., Wiley, New York, 434–475.
Wang, Z. L., Chang, C. Y., and Chin, C. C. (2008). “Hysteretic damping correction and its effect on non-linear site response analyses.” Proc., Geotechnical Earthquake Engineering and Soil Dynamics, GSP, 181, D. Zeng, M. T. Manzari, and D. R. Hiltunen, eds., ASCE Geo-Institute, Sacramento, Calif.
Whitman, R. V. (1970a) “Evaluation of soil properties for site evaluation and dynamic analysis of nuclear plants.” Seismic design for nuclear power plants, R. J. Hansen, ed., M.I.T. Press, Cambridge, Mass.
Whitman, R. V. (1970b). “Soil-structure interaction.” Seismic design for nuclear power plants, R. J. Hansen, ed., M.I.T. Press, Cambridge, Mass.
Zinoviev, P. A., and Ermakov, Y. N. (1994). Energy dissipation in composite materials, Technomic, Lancaster, Pa.
Information & Authors
Information
Published In
Copyright
© 2009 ASCE.
History
Received: Dec 17, 2007
Accepted: Oct 6, 2008
Published online: Mar 1, 2009
Published in print: Mar 2009
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.