Analytical Modeling of Traffic-Induced Ground Vibrations
Publication: Journal of Engineering Mechanics
Volume 124, Issue 8
Abstract
This paper presents an analytical method to estimate the power spectral densities (PSDs) of traffic-induced ground vibrations. Random vibration method is used in the analysis. Ground vibrations are assumed to consist of primarily Rayleigh waves induced by moving forces and propagating along the surface of an elastic homogeneous half-space. The moving forces are generated by vehicles traveling on rough road surfaces. Using a single-axle two-degrees-of-freedom vehicle model and the theoretical solution derived by Lamb for wave propagation on the surface of an elastic half-space, a closed-form solution is derived for ground vibration PSDs at various locations from the roads. To validate the analytical formulas, vertical accelerations at ground surface induced by moving vehicles at three sites with different soil conditions are measured. The surface roughness on adjacent roads of the three sites are also measured to minimize the uncertainties involved in analytical calculations. The measured ground vibration PSDs are compared with the theoretical results and close agreements are observed.
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References
1.
Barneich, J. A. (1985). “Vehicle induced ground motion.”Vibration problems in geotechnical engineering. G. Gazetas and E. T. Selig, eds., Am. Soc. of Civ. Engrs., New York, 187–201.
2.
Bell, F. G. (1987). Ground engineer's reference book. Butterworth's, London.
3.
Cebon, D. (1985). “The dynamic interaction between wheeled vehicle and road surfaces,” PhD thesis, Cambridge, Univ. Engrg. Dept., June.
4.
Hall, J. R., and Richart, F. E.(1963). “Dissipation of elastic wave energy in granular soils.”J. Soil Mech. and Found. Div., ASCE, 89(6), 27–55.
5.
Hanazato, T., and Ugai, K.(1983). “Analysis of traffic-induced vibrations by FEM.”J. Japan. Soc. of Soil Mech. and Found. Engrg., 23(1), 144–150.
6.
Hao, H., and Ang, T. C. (1997). “Study of traffic-induced ground vibrations.”Appl. Res. Proj. RP 57/93 Rep., School of Civ. and Struct. Engrg., Nanyang Technol. Univ., Singapore.
7.
Hunt, H. E. M. (1988). “Measurement and modeling of traffic-induced ground vibration,” PhD thesis, Cambridge Univ. Engrg. Dept., July.
8.
Hunt, H. E. M.(1991). “Stochastic modeling of traffic-induced ground vibration.”J. Sound and Vibration, 144(1), 53–70.
9.
Irie, Y., and Terasaka, Y. (1996). “Wave propagation in soils and wooden houses due to moving traffic excitations.”Proc., 11th World Conf. on Earthquake Engrg., Paper 155, Elsevier Science Ltd.
10.
ISO. (1972). “Proposals for generalized road inputs to vehicles.”ISO/TC-108/WG2, Int. Standard Org., June.
11.
Jian, J. P. (1984). Vibration analysis and isolation design. China Constr. Industry Publishing House (in Chinese).
12.
Lamb, H. (1904). “On the propagation of tremors over the surface of an elastic solid.”Philosophical Trans. Royal Soc., Ser. A, 203, London, 1–42.
13.
Langefors, U., and Kihlstrom, B. (1978). The modern techniques of rock blasting, 3rd Ed., Halsted Press, New York.
14.
Liu, T. K., Kinner, E. B., and Yegian, M. K.(1974). “Ground vibrations.”J. Sound and Vibration, 8(10), 26–32.
15.
Miller, G. F., and Pursey, H. (1955). “On the partition of energy between elastic waves in a semi-infinite solid.”Philosophical Trans. Royal Soc., Ser. A, 233, London, 55–69.
16.
Novak, M., and Kim, T. C.(1981). “Resonant column technique for dynamic testing of cohesive soils.”Can. Geotech., 18, 448–455.
17.
Page, J. (1973). “Dynamic behavior of a single axle vehicle suspension system: A theoretical study.”Rep. LR 581, Transport and Road Res. Labs., U.K.
18.
Page, J. (1974). “Dynamic behavior of a two axle vehicle suspension system: A theoretical and experimental study.”Supplementary Rep. 119UC, Transport and Road Res. Labs., U.K.
19.
PWD. (1976). “The geology of the Republic of Singapore.” Public Works Dept., Singapore.
20.
Reynolds, C. E., and Steedman, J. C. (1981). Reinforced concrete designer's handbook. A viewpoint Publication, London.
21.
Sayers, M. W., and Karamihas, S. M. (1995). “The little book of profiling.” Univ. of Michigan Transp. Res. Inst., Mich.
22.
Whiffen, A. C., and Leonard, D. R. (1971). “A survey of traffic induced vibrations.”Rep. LR 418, Transport and Road Res. Labs., U.K.
23.
Wiss, J. F.(1981). “Construction vibrations: state-of-the-art.”J. Geotech. Engrg., ASCE, 107(2), 167–181.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 124 • Issue 8 • August 1998
Pages: 921 - 928
Copyright
Copyright © 1998 American Society of Civil Engineers.
History
Published online: Aug 1, 1998
Published in print: Aug 1998
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