Vehicle-Bridge Interaction Element for Dynamic Analysis
This article has been corrected.
VIEW CORRECTIONPublication: Journal of Structural Engineering
Volume 123, Issue 11
Abstract
The objective of this study is to develop an element that is both accurate and efficient for modeling the vehicle-bridge interaction (VBI) in analysis of railway bridges carrying high-speed trains, which may consist of a number of cars in connection. In this study, a train is modeled as a series of sprung masses lumped at the bogie positions and a bridge with track irregularities by beam elements. Two sets of equations of motion that are coupled can be written, one for the bridge and the other for each of the sprung masses. To resolve the problem of coupling, the sprung mass equation is first discretized using Newmark's finite difference formulas and then condensed to that of the bridge element in contact. The element derived is referred to as the vehicle-bridge interaction element, which has the same number of degrees of freedom (DOF) as the parent element, while possessing the properties of symmetry and bandedness in element matrices. For this reason, conventional assembly procedures can be employed to forming the structure equations. The applicability of the VBI element is demonstrated in the numerical studies.
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References
1.
Akin, J. E., and Mofid, M.(1989). “Numerical solution for response of beams with moving mass.”J. Struct. Engrg., ASCE, 115(1), 120–131.
2.
Ayre, R. S., Ford, G., and Jacobsen, L. S.(1950). “Transverse vibration of a two-span beam under action of a moving constant force.”J. Appl. Mech., 17(1), 1–12.
3.
Ayre, R. S., and Jacobsen, L. S.(1950). “Transverse vibration of a two-span beam under the action of a moving alternating force.”J. Appl. Mech., 17(3), 283–290.
4.
Biggs, J. M. (1964). Introduction to structural dynamics. McGraw-Hill, Inc., New York, N.Y.
5.
Chatterjee, P. K., Datta, T. K., and Surana, C. S.(1994). “Vibration of suspension bridges under vehicular movement.”J. Struct. Engrg., ASCE, 120(3), 681–701.
6.
Chu, K. H., Garg, V. K., and Dhar, C. L.(1979). “Railway-bridge impact: simplified train and bridge model,”J. Struct. Div., ASCE, 105(9), 1823–1844.
7.
Clough, R. W., and Penzien, J. (1993). Dynamics of structures, 2nd Ed., McGraw-Hill, Inc., New York, N.Y.
8.
Diana, G., and Cheli, F.(1989). “Dynamic interaction of railway systems with large bridges.”Vehicle System Dynamics, 18, 71–106.
9.
Frýba, L. (1972). Vibration of solids and structures under moving loads. Noordhoff International Publishing, Groningen, The Netherlands.
10.
Garg, V. K., and Dukkipati, R. V. (1984). Dynamics of railway vehicle systems. Academic Press, Inc., Canada.
11.
Green, M. F., and Cebon, D.(1994). “Dynamic response of highway bridges to heavy vehicle loads: theory and experimental validation.”J. Sound Vib., 170(1), 51–78.
12.
Hwang, E. S., and Nowak, A. S.(1991). “Simulation of dynamic load for bridges.”J. Struct. Engrg., ASCE, 117(5), 1413–1434.
13.
Jeffcott, H. H.(1929). “On the vibration of beams under the action of moving loads.”Philosophical Mag., Ser. 7, 8(48), 66–97.
14.
Lowan, A. N.(1935). “On transverse oscillations of beams under the action of moving variable loads.”Philosophical Mag., Ser. 7, 19(127), 708–715.
15.
Paz, M. (1986). Microcomputer-aided engineering: structural dynamics. Van Nostrand Reinhold, New York, N.Y.
16.
Sadiku, S., and Leipholz, H. H. E.(1987). “On the dynamics of elastic systems with moving concentrated masses.”Ingenieur-Archiv, 57, 223–242.
17.
Stabušić, M. M.(1985). “On a new theory of the dynamic behavior of the structures carrying moving masses.”Ingenieur-Archiv, 55, 176–185.
18.
Stokes, G. G.(1849). “Discussion of a differential equation relating to the breaking of railway bridges.”Trans. Cambridge Phil. Soc., 8(5), 707–735.
19.
Timoshenko, S. P.(1922). “On the forced vibrations of bridges.”Philosophical Mag., Ser. 6, 43, 1018–1019.
20.
Veletsos, A. S., and Huang, T.(1970). “Analysis of dynamic response of highway bridges.”J. Engrg. Mech. Div., ASCE, 96(5), 593–620.
21.
Willis, R. (1849). “Report of commissioners appointed to inquire the application of iron to railway structures, Appendix B.” His Majesty's Stationary Office, London, England.
22.
Yang, F., and Fonder, G. A.(1996). “An iterative solution method for dynamic response of bridge-vehicles systems.”Earthquake Engrg. and Struct. Dynamics, 25, 195–215.
23.
Yang, Y. B., and Kuo, S. R. (1994). Theory and analysis of nonlinear framed structures. Prentice-Hall, Inc., Singapore.
24.
Yang, Y. B., Lee, T. Y., and Tsai, I. C.(1990). “Response of multi-degree-of-freedom structures with sliding supports.”Earthquake Engrg. Struct. Dynamics, 19, 739–752.
25.
Yang, Y. B., and Lin, B. H.(1995). “Vehicle-bridge interaction analysis by dynamic condensation method.”J. Struct. Engrg., ASCE, 121(11), 1636–1643.
26.
Yang, Y. B., and Yau, J. D. (1996). “A review of researches on vehicle-bridge interactions with emphasis on high speed bridges.”Proc., 20th Nat. Conf. Theoretical and App. Mech., Nat. Taiwan Inst. Technol., Taipei, Taiwan, People's Republic of China.
27.
Yang, Y. B., Yau, J. D., and Hsu, L. C. (1996). “Vibration of simple beams due to trains moving at high speeds.” accepted for publication in Engrg. Struct.
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Copyright © 1997 American Society of Civil Engineers.
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Published online: Nov 1, 1997
Published in print: Nov 1997
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