Dynamic Analysis of Infinite Beam on Modified Vlasov Subgrade
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Volume 121, Issue 5
Abstract
Analysis of pavement-subgrade system under traffic load has been traditionally done by static method, such as multilayer elastic theory. Although, in some instances, the static analysis method is sufficient and conservative for the daily practice, truly dynamic analysis is needed in some special cases, such as shallow bedrock with high vehicle speed. Furthermore, interpretation of nondestructive testing data from falling-weight deflectometer (FWD) and Dynaflect tests requires the use of more rigorous dynamic back-calculation techniques. Presented in this paper is an efficient dynamic analysis procedure for the interaction behavior of an infinite beam on a modified Vlasov subgrade. A complete description of the dynamic analysis procedure is given, followed by a comprehensive parametric study to investigate the effects of subgrade depth, the material stiffness and damping ratio, and vehicle speed, on the calculated beam response. The analysis results indicate that the subgrade depth exerts significant influence on the beam response. Increasing vehicle speed only causes a small amount increase in dynamic displacement under the load. An efficient back-calculation algorithm based on the derived dynamic compliance function is also developed in this paper. Two case studies are given at the end of this paper to illustrate the accuracy and convergence rate of the developed back-calculation algorithm. The developed dynamic analysis procedures (both forward and back-calculation) are implemented into personal computer (PC) based computer program for field application.
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References
1.
Cebon, D. (1985). “An investigation of the dynamic interaction between wheeled vehicles and road surfaces,” PhD dissertation, Univ. of Cambridge, Cambridge, England.
2.
Chatti, K. (1992). “Dynamic analysis of jointed concrete pavements subjected to moving transient loads,” PhD dissertation, Univ. of California, Berkeley.
3.
Chatti, K., Lysmer, J., and Monismith, C. L. (1994). “Dynamic model for analysis of concrete pavements.”Proc., Struct. Congress XII, N. C. Baker and B. J. Goodno, eds., ASCE, New York, N.Y., 984–989.
4.
Chen, S. S. (1987). “The response of multi-layered systems to dynamic surface loads,” PhD dissertation, Univ. of California, Berkeley.
5.
Davies, T. G., and Mamlouk, M. S. (1985). “Theoretical response of multilayer pavement systems to dynamic non-destructive testing.”Transp. Res. Record 1022, Washington, D.C., 1–7.
6.
Filonenko-Borodich, M. M. (1940). “Some approximate theories of the elastic foundation.”Mekanika, Moscow, Russia, (46), 3–18 (in Russian).
7.
Hanazato, T., Ugai, K., Mori, M., and Sakaguchi, R.(1991). “Three-dimensional analysis of traffic-induced ground vibrations.”J. Geotech. Engrg., ASCE, 117(8), 1133–1151.
8.
Hardy, M. S. A., and Cebon, D.(1993). “Response of continuous pavements to moving dynamic loads.”J. Engrg. Mech., ASCE, 119(9), 1762–1780.
9.
Hetenyi, M. (1950). “A general solution for the bending of beams on an elastic foundation of arbitrary continuity.”J. Appl. Physics, Vol. 21, 55–58.
10.
Kausel, E., and Peck, R.(1982). “Dynamic loads in the interior of a layered stratum: an explicit solution.”Bull. Seismological Soc. of Am., 72(5), 1459–1481.
11.
Kausel, E., and Roesset, J. M.(1981). “Stiffness matrices for layered soils.”Bull. Seismological Soc. of Am., 71(6), 1743–1761.
12.
Kazanovich, L., and Ioannides, A. M. (1993). “Finite element analysis of slabs-on-grade using higher order subgrade soil models.”Proc., Airport Pavement Innovation, Theory to Practice, ASCE, New York, N.Y., 16–30.
13.
Keer, A. D.(1985). “On the determination of foundation model parameters.”J. Geotech. Engrg., ASCE, 111(11), 1334–1340.
14.
Keer, A. D. (1993). “Mathematical modeling of airport pavements.”Proc., Airport Pavement Innovation, Theory to Practice, ASCE, New York, N.Y., 31–45.
15.
Keer, A. D. (1965). “A study of a new foundation model.”Acta Mechanica, I(2), 135–147.
16.
Kenney, J. T.(1954). “Steady-state vibrations of beam on plastic foundation for moving load.”J. Appl. Mech., 21(6), 359–364.
17.
Kukreti, A. R., Taheri, M. R., and Ledesma, R. H.(1992). “Dynamic analysis of rigid airport pavements with discontinuities.”J. Transp. Engrg., ASCE, 118(3), 341–360.
18.
Luco, J. E., and Wong, H. L.(1992). “Identification of soil properties from foundation impedance functions.”J. Geotech. Engrg., ASCE, 118(5), 780–795.
19.
Magnuson, A. H., Lytton, R. L., and Briggs, R. C. (1991). “Comparison of computer predictions and field data for dynamic analysis of falling weight deflectometer data.”Transp. Res. Record 1293, Washington, D.C., 61–71.
20.
Pasternak, P. L. (1954). “On a new method of analysis of an elastic foundation by means of two foundation constants.”Gos. Izd. Literaturi po Stroitelstvu i Arkitekture, Moscow, U.S.S.R. (in Russian).
21.
Reissner, E. (1967). “Note on the formulation of the problem of the plate on elastic foundation.”Acta Mechanica, IV(1), 88–91.
22.
Reissner, E. (1958). “A note on deflections of plates on a viscoelastic foundation.”J. Appl. Mech., Vol. 25, 144–145.
23.
Roesset, J. M., and Shao, K. (1985). “Dynamic interpretation of dynaflect and falling weight deflectometer tests.”Transp. Res. Record 1022, Washington, D.C., 8–17.
24.
Tassoulas, J. L., and Kausel, E. (1981). “Elements for the numerical analysis of wave motion in layered media.”Rep. R81-2, Dept. of Civ. Engrg., M.I.T., Cambridge, Mass.
25.
Trochanis, A. M., Chelliah, R., and Bielak, J.(1987). “Unified approach for beams on elastic foundations under moving loads.”J. Geotech. Engrg., ASCE, 113(8), 879–895.
26.
Uzan, J.(1994). “Dynamic linear backcalculation of pavement material parameters.”J. Transp. Engrg., ASCE, 120(1), 109–125.
27.
Vallabhan, C. V. G., and Das, Y. C. (1988). “A parametric study of beams on elastic foundations.”J. Engrg. Mech., ASCE, 114(12).
28.
Vallabhan, C. V. G., and Das, Y. C.(1991). “Modified Vlasov model for beams on elastic foundations.”J. Geotech. Engrg., ASCE, 117(6), 956–966.
29.
Vlasov, V. Z., and Leont'ev, N. N. (1960). Beams, plates and shells on elastic foundations . Israel Program for Scientific Translations, Jerusalem, Israel.
30.
Winkler, E. (1867). Die Lehre von der Elasticitaet und Festigkeit . Dominieus, Prague, Czechoslovakia.
31.
Zaman, M., Alvappillai, A., and Taheri, M. (1993). “Dynamic analysis of concrete pavements resting on a two-parameter medium.”Int. J. for Numerical Methods in Engrg., Vol. 36, 1465–1486.
32.
Zaman, M., Taheri, M. R., and Alvapillai, A. (1991). “Dynamic response of a thick plate on viscoelastic foundation to moving loads.”Int. J. Numer. and Analytical Meth. in Geomech., Vol. 15, 627–647.
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Copyright © 1995 American Society of Civil Engineers.
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Published online: Sep 1, 1995
Published in print: Sep 1995
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