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TECHNICAL PAPERS

Vehicle Moving Along an Infinite Beam With Random Surface Irregularities on a Kelvin Foundation

[+] Author and Article Information
L. Andersen, S. R. K. Nielsen

Department of Civil Engineering, Aalborg University, Sohngaardsholmsvej 57, 9000 Aalborg, Denmark

R. Iwankiewicz

School of Mechanical Engineering, University of the Witwatersrand, Johannesburg, Private Bag 3, Wits, 2050, South Africae-mail: radiwank@hertz.mech.wits.ac.za

J. Appl. Mech 69(1), 69-75 (Jun 12, 2001) (7 pages) doi:10.1115/1.1427339 History: Received November 17, 2000; Revised June 12, 2001
Copyright © 2002 by ASME
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References

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Iwankiewicz,  R., and Śniady,  P., 1984, “Vibration of a Beam Under a Random Stream of Moving Forces,” J. Struct. Mech., 12, No. 1, pp. 13–26.
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Zibdeh,  H. S., and Rackwitz,  R., 1995, “Response Moments of an Elastic Beam Subjected to Poissonian Moving Loads,” J. Sound Vib., 188, No. 4, pp. 479–495.
Śniady,  P., Biernat,  S., Sieniawska,  R., and Żukowski,  S., 2001, “Vibrations of the Beam due to a Load Moving With Stochastic Velocity,” Prob. Eng. Mech., 16, pp. 53–59.
Yoshimura,  T., Hino,  J., Kamata,  T., and Ananthanarayana,  N., 1988, “Random Vibration of a Non-linear Beam Subjected to a Moving Load: A Finite Element Analysis,” J. Sound Vib., 122, No. 2, pp. 317–329.
Frýba,  L., Nakagiri,  S., and Yoshikawa,  N., 1993, “Stochastic Finite Elements for a Beam on a Random Foundation With Uncertain Damping Under a Moving Force,” J. Sound Vib., 163, No. 1, pp. 31–45.
Chang,  T.-P., and Liu,  Y.-N., 1996, “Dynamic Finite Element Analysis of a Nonlinear Beam Subjected to a Moving Load,” Int. J. Solids Struct., 33, No. 12, pp. 1673–1680.
Lombaert,  G., Degrande,  G., and Clouteau,  D., 2000, “Numerical Modelling of Free Field Traffic-Induced Vibrations,” Soil Dyn. Earthquake Eng., 19, No. 7, pp. 473–488.
Cebon, D., (1993), “Interaction Between Heavy Vehicles and Roads,” Technical report, Cambridge University Engineering Department, Cambridge, UK.
Metrikine,  A., and Vrouwenvelder,  A. C. W. M., 2000, “Surface Ground Vibrations due to a Moving Train in a Tunnel: Two-Dimensional Model,” J. Sound Vib., 234, No. 1, pp. 43–66.
Dieterman,  H. A., and Metrikine,  A., 1996, “The Equivalent Stiffness of a Half-Space Interacting With a Beam: Critical Velocities of a Moving Load Along the Beam,” Eur. J. Mech., A/Solids, 15, No. 1, pp. 67–90.
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Andersen,  L., Nielsen,  S. R. K., and Kirkegaard,  P. H., 2001, “Finite Element Modelling of Infinite Euler Beams on Kelvin Foundations Exposed to Moving Loads in Convected Co-ordinates,” J. Sound Vib., 241, No. 4, pp. 587–604.
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Figures

Grahic Jump Location
Single-degree-of-freedom vehicle moving along a Bernoulli-Euler beam with irregular surface on a Kelvin foundation
Grahic Jump Location
Dynamic amplification of vehicle mass response (   ) and beam response (–) at χ=0. The dashed lines indicate the response when interaction between vehicle and beam is neglected. m0=100 kg,ω0=2π s−1,μ=100 kg/m,ζ0=1 and ζc=0.1.
Grahic Jump Location
Dynamic amplification of vehicle mass response (   ) and beam response (–) at χ=0. The dashed lines indicate the response when interaction between vehicle and beam is neglected. m0=1000 kg,ω0=2π s−1,μ=100 kg/m,ζ0=1 and ζc=0.1.
Grahic Jump Location
Dynamic amplification of vehicle mass response (   ) and beam response (–) at χ=0. The dashed lines indicate the response when interaction between vehicle and beam is neglected. m0=10,000 kg,ω0=2π s−1,μ=100 kg/m,ζ0=1 and ζc=0.1.
Grahic Jump Location
Dynamic amplification of vehicle mass response (   ) and beam response (–) at χ=0. The dashed lines indicate the response when interaction between vehicle and beam is neglected. m0=1000 kg,ω0=2π s−1,μ=100 kg/m,Ωc=10 and Lc=10 m.

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