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TECHNICAL PAPERS

Linear Dynamics of an Elastic Beam Under Moving Loads

[+] Author and Article Information
G. Visweswara Rao

Engineering Mechanics Research Corp. Ltd., Bangalore 560 001, India

J. Vib. Acoust 122(3), 281-289 (Mar 01, 2000) (9 pages) doi:10.1115/1.1303822 History: Received November 01, 1998; Revised March 01, 2000
Copyright © 2000 by ASME
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References

Fryba, L., 1972, Vibration of Solids and Structures Under Moving Loads, Noordhoff, The Netherlands.
Ting,  E. C., and Yener,  M., 1983, “Vehicle-Structure Interactions in Bridge Dynamics,” Shock Vibr. Dig., 15, No. 12, pp. 3–9.
Olsson,  M., 1985, “Finite Element, Modal Co-ordinate Analysis of Structures subjected to Moving Loads,” J. Sound Vib., 99, No. 1, pp. 1–12.
Katz,  R., Lee,  C. W., Ulsoy,  A. G., and Scott,  R. A., 1987, “Dynamic Stability and Response of a Beam Subject to a Deflection Dependent Moving Load,” Trans. ASME, J. Vib., Acoust., Stress, Reliab. Des., 109, pp. 361–365.
Akin,  J. E., and Mofid,  M., 1989, “Numerical Solution for Response of Beams with Moving Mass,” J. Struct. Eng., 115, No. 1, pp. 120–131.
Duffy,  D. G., 1990, “The Response of an Infinite Railroad Track to a Moving, Vibrating Mass,” ASME J. Appl. Mech., 57, pp. 66–73.
Paultre,  P., Proulx,  J., and Talbot,  M., 1995, “Dynamic Testing Procedures for Highway Bridges Using Traffic Loads,” J. Struct. Eng., 121, No. 2, pp. 362–375.
Gbadeyan,  J. A., and Oni,  S. T., 1995, “Dynamic Behavior of Beams and Rectangular Plates under Moving Loads,” J. Sound Vib., 182, No. 5, pp. 677–695.
Lee,  H. P., 1996, “Dynamic Response of a Beam with a Moving Mass,” J. Sound Vib., 191, No. 2, pp. 289–294.
Bolotin, V. V., 1964, The Dynamic Stability of Elastic Systems, Holden Day, San Francisco.
Nelson,  H. D., and Conover,  R. A., 1971, “Dynamic Stability of a Beam Carrying Moving Masses,” ASME J. Appl. Mech., 38, pp. 1003–1006.
Nayfeh, A. H., and Mook, D. T., 1979, Nonlinear Oscillations, Wiley, New York.
Rao,  G. V., and Iyengar,  R. N., 1991, “Internal Resonance and Non-Linear Response of a Cable under Periodic Excitation,” J. Sound Vib., 149, No. 1, pp. 25–41.

Figures

Grahic Jump Location
Maximum beam transient response plot for time τ=1. ε=0.3. No internal resonance.
Grahic Jump Location
Maximum steady state beam response for v in the range of 10–100 m/sec. ε=0.3.
Grahic Jump Location
Stable and unstable beam responses in 20 cycles of integration time. ε=0.3.
Grahic Jump Location
Maximum beam response in time τ=1 with Internal Resonance. ε=0.3.
Grahic Jump Location
Effect of mass parameter ε on maximum beam response in time τ=1 at (a) X=0.5 and (b) X=0.25
Grahic Jump Location
Two moving loads. Effect of time lag (τ2−τ1) on maximum response at (a) X=0.5 and (b) X=0.25. ε=0.3.

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