Dynamic Coupling Effects in Frictional Geomaterials—Stochastic Resonance
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 128, Issue 11
Abstract
Nonlinear, dynamic coupling effects and the manifestation of stochastic resonance are explored in the context of frictional geomaterials. The first experiment is designed to study a single interface between two mineral surfaces. Results demonstrate that as the amplitude of the driving signal approaches the threshold of static frictional resistance, the noise level required to cause slippage decreases and the peak output signal-to-noise ratio increases, inducing stochastic resonance. The second experimental study is conducted with sand specimens. While the classical signature of stochastic resonance is not observed in these multiinterface systems, nonlinear energy coupling effects appear. The effect of signal interaction through the nonlinear behavior of the medium is further studied by simultaneously exciting the specimen with two sinusoidal signals of different frequencies. The output response at the frequency of the primary driving signal increases as the amplitude of the secondary “noise” signal increases. Coupling increases as the driving signal brings the specimen to its nonlinear regime. The results highlight the interaction between friction and vibration in geomaterials, and suggest potential implications to experimental studies, construction operations, and dynamic phenomena such as seismic response and landslides.
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References
Ambraseys, N. N., and Menu, J. M.(1988). “Earthquake-induced ground displacements.” Earthquake Eng. Struct. Dyn., 16, 985–1006.
Belarbi, H., Haouzi, A., Giuntini, J. C., Zanchetta, J. V., Niezette, J., and Vanderschueren, J.(1997). “Interpretation of orientation polarization in homoionic dry montmorillonite.” Clay Miner., 32, 13–20.
Benzi, R., Parisi, G., Sutera, A., and Vulpiani, A.(1982).“Stochastic resonance in climatic change.” Tellus, 34, 10–16.
Benzi, R., Sutera, A., and Vulpiani, A.(1981). “The mechanism of stochastic resonance.” J. Phys. A, 14, L453–L457.
Bhushan, B., Israelachvili, J. N., and Landman, U.(1995). “Nanotribology: Friction, wear, and lubrication at the atomic scale.” Nature (London), 374, 607–616.
Bishop, A. W.(1950). “Discussion to ‘Measurement of the shear strength of soils’ by Skempton and Bishop.” Géotechnique, 36, 65–78.
Bowden, F. P., and Tabor, D. (1982). Friction—An introduction to tribology, Reprint Ed., Krieger, New York.
Braiman, Y., Hentschel, H. G. E., Family, F., Mak, C., and Krim, J.(1999). “Tuning friction with noise and disorder.” Phys. Rev. E, 59, R4737–R4740.
Casagrande, A. (1936). “Characteristics of cohesionless soils affecting the stability of slopes and earth fills.” J. Boston Society of Civil Engineers, January; reprinted in Contributions to soil mechanics (1925–1940), the Boston Society of Civil Engineers, 1948, 257–276.
Cascante, G., Santamarina, J. C., and Yassir, N.(1998). “Flexural excitation in a standard torsional–resonant column device.” Can. Geotech. J., 35, 478–490.
Collins, J. J., Imhoff, T. T., and Grigg, P.(1996). “Noise-enhanced tactile sensation.” Nature (London), 383, 770–770.
Cordo, P., Inglis, J. T., Verschueren, S., Collins, J. J., Merfeld, D. M., Rosenblum, S., Buckley, S., and Moss, F.(1996). “Noise in human muscle spindles.” Nature (London), 383, 769–770.
Dieterich, J. H.(1978). “Time-dependent friction and the mechanics of stick–slip.” Pure Appl. Geophys., 116, 790–806.
Dobry, R., Ladd, R. S., Yokel, F. Y., Chung, R. M., and Powell, D. (1982). Prediction of pore water pressure buildup and liquefaction of sands during earthquakes by the cyclic strain method, National Bureau of Standards Building Science Series 138, U.S. Government Printing Office, Washington, D.C.
Douglass, J. K., Wilkens, L., Pantazelou, E., and Moss, F.(1993). “Noise enhancement of information transfer in crayfish mechanoreceptors by stochastic resonance.” Nature (London), 365, 337–340.
Duran, J. (2000). Sands, powders, and grains—An introduction to the physics of granular materials, Springer, New York.
Feeny, B., Guran, A., Hinrichs, N., and Popp, K.(1998). “A historical review on dry friction and stick–slip phenomena.” Appl. Mech. Rev., 51, 321–341.
Gao, J., Luedtke, W. D., and Landman, U.(1998). “Friction control in thin-film lubrication.” J. Phys. Chem. B, 102, 5033–5037.
Heuberger, M., Drummond, C., and Israelachvili, J.(1998). “Coupling of normal and transverse motions during friction sliding.” J. Phys. Chem. B, 102, 5038–5041.
Hutchings, I. M. (1992). Tribology: friction and wear of engineering materials, CRC, Ann Arbor, Mich.
Isbrahim, R. A.(1994a). “Friction-induced vibration, chatter, squeal, and chaos. Part I: Mechanics of contact and friction.” Appl. Mech. Rev., 47, 209–226.
Isbrahim, R. A.(1994b). “Friction-induced vibration, chatter, squeal, and chaos. Part II: Dynamics and modeling.” Appl. Mech. Rev., 47, 227–253.
Ivanov, B. A.(1998). “Large impact crater formation: Thermal softening and acoustic fluidization.” Meteoritics Planetary Sci., 33, A76.
Jung, P., and Wiesenfeld, K.(1997). “Too quiet to hear a whisper.” Nature (London), 385, 291–291.
Kudinov, N. V., and Tolstoi, D. M. (2001). “Friction and oscillations.” Tribology—Lubrication, friction, and wear, I. V. Kragelsky and V. V. Alisin, eds., Professional Engineering, 473–489.
Lanzara, E., Mantegna, R. N., Spagnolo, B., and Zangara, R.(1997). “Experimental study of a nonlinear system in the presence of noise: The stochastic resonance.” Am. J. Phys., 65, 341–349.
Lipkin, R.(1996). “Digital noise sharpens vague image.” Sci. News (Washington, D. C.), 149, 196–196.
Melosh, H. J.(1986). “The physics of very large landslides.” Acta Mech., 64, 89–99.
Melosh, H. J.(1996). “Dynamical weakening of faults by acoustic fluidization.” Nature (London), 379, 601–606.
Moss, F. (1994). “Stochastic resonance: From the ice ages to the monkey’s ear.” Contemporary problems in statistical physics, G. H. Weiss, ed., Society for Industrial and Applied Mathematics, 205–253.
Nicolis, C., and Nicolis, G.(1981). “Stochastic aspects of climatic transitions—Additive fluctuations.” Tellus, 33, 325–234.
Rabinowicz, E. (1992). “Friction fluctuations.” Fundamentals of friction: macroscopic, and microscopic processes, I. L. Signer, and H. M. Pollock, eds., Kluwer Academic, Dordrecht, The Netherlands, 25–34.
Raloff, J.(1996). “Is noise a neural necessity?” Sci. News (Washington, D. C.), 150, 330–331.
Rymuza, Z.(1996). “Energy concept of the coefficient of friction.” Wear, 199, 187–196.
Santamarina, J. C., Klein, K., and Fam, M. (2001). Soils and waves, Wiley, New York.
Sornette, D., and Sornette, A.(2000). “Acoustic fluidization for earthquakes?” Bull. Seismol. Soc. Am., 90, 781–785.
Suh, N. P. (1986). Tribophysics, Prentice-Hall, Englewood Cliffs, N.J.
Taylor, D. (1948). Fundamentals of soil mechanics, Wiley, New York.
Tolstoi, D. M.(1967). “Significance of the normal degree of freedom and natural normal vibrations in contact friction.” Wear, 10, 199–213.
Torres, J. L., and Trainor, L.(1997). “Stochastic resonance and computation.” J. Appl. Phys., 82, 2702–2703.
Tovstopyat-Nelip, I., and Hentschel, H. G. E.(2000). “Friction and noise-induced coherent structures in boundary lubrication.” Phys. Rev. E, 61, 3318–3324.
Umbanhowar, P. B.(1997). “Patterns in the sands.” Nature (London), 389, 541–542.
Umbanhowar, P. B., and Swinney, H. L.(2000). “Wavelength scaling and square/stripe and grain mobility transitions in vertically oscillated granular layers.” Physica A, 288, 344–362.
Wiesenfeld, K., and Moss, F.(1995). “Stochastic resonance and the benefits of noise—From ice ages to crayfish and SQUIDs.” Nature (London), 373, 33–36.
Williams, J. A. (1994). Engineering tribology, Oxford Science, New York.
Zik, O., Stavans, J., and Rabin, Y.(1992). “Mobility of a sphere in vibrated granular media.” Europhys. Lett., 17, 315–319.
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Published In
Journal of Geotechnical and Geoenvironmental Engineering
Volume 128 • Issue 11 • November 2002
Pages: 952 - 962
Copyright
Copyright © 2002 American Society of Civil Engineers.
History
Received: Sep 11, 2000
Accepted: Jan 8, 2002
Published online: Oct 15, 2002
Published in print: Nov 2002
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