Timoshenko Beam with Tuned Mass Dampers to Moving Loads
Publication: Journal of Bridge Engineering
Volume 9, Issue 2
Abstract
The structural analysis of a Timoshenko beam system with tuned mass dampers (TMDs) under moving-load excitation is presented. A proposed simplified two-degrees-of freedom system based on the first mode of the Timoshenko beam is employed for the design of TMDs. The dynamic characteristics of a Timoshenko beam, such as the structural-resonant and phase-resonant velocities, and the effectiveness of a TMD for vibrational control are especially emphasized. A practical example of an elevated railway subjected to the Japanese Shinkansen (SKS) high-speed bullet train is included.
Get full access to this article
View all available purchase options and get full access to this article.
References
Abe, M., and Fujino, Y.(1994). “Dynamic characterization of multiple tuned mass dampers and some design formulas.” Earthquake Eng. Struct. Dyn., 23, 813–835.
Ayorinde, E. O., and Warburton, G. B.(1980). “Minimizing structural vibrations with absorbers.” Earthquake Eng. Struct. Dyn., 8, 219–236.
Chen, Y.-H.(1987). “General dynamic-stiffness matrix of a Timoshenko beam for transverse vibration.” Earthquake Eng. Struct. Dyn., 15, 391–402.
Chen, Y.-H.(1988). “General dynamic shape function and stiffness matrix and their application to structural-borne noise on ships.” J. Ship Res., 32(3), 177–185.
Chen, Y.-H., and Bertran, I. M.(1990). “Parametric study of ship-hull vibration.” Int. Shipbuilding Prog., 37(410), 151–163.
Chen, Y.-H., and Huang, Y. H.(2000). “Dynamic stiffness of infinite Timoshenko beam on viscoelastic foundation in moving coordinate.” Int. J. Numer. Methods Eng., 48, 1–18.
Chen, Y.-H., and Huang, Y. H.(2003). “Dynamic characteristics of infinite and finite railways to moving loads.” J. Eng. Mech., 129(9), 987–995.
Chen, Y.-H., Huang, Y. H., and Shih, C. T.(2001). “Response of an infinite Timoshenko beam on a viscoelastic foundation to a harmonic moving load.” J. Sound Vib., 241(5), 809–824.
Chen, Y.-H., and Li, C.-Y., (2000). “Dynamic response of elevated high-speed railway.” J. Bridge Eng., 5(2), 124–130.
Chen, Y.-H., and Lin, C.-Y.(1998). “Structural analysis and optimal design of a dynamic absorbing beam.” J. Sound Vib., 212(5), 759–769.
Chen, Y.-H., and Sheu, J. T.(1993). “Axially-loaded damped Timoshenko beam on viscoelastic foundation.” Int. J. Numer. Methods Eng., 36, 1013–1027.
Chen, Y.-H., and Sheu, J. T.(1994). “Dynamic characteristics of layered beam with flexible core.” J. Vibr. Acoust., 116, 350–356.
Chen, Y.-H., and Sheu, J. T.(1995). “Beam on viscoelastic foundation and layered beam.” J. Eng. Mech., 121(2), 340–344.
Chen, Y.-H., and Sheu, J. T.(1996). “Beam length and dynamic stiffness.” Comput. Methods Appl. Mech. Eng., 129, 311–318.
Den Hartog, J. P. (1962). Mechanical vibrations, 4th Ed., McGraw-Hill, New York.
Jacquot, R. G.(1978). “Optimal dynamic vibration absorbers for general beam systems.” J. Sound Vib., 60(4), 535–542.
Jacquot, R. G., and Hoppe, D. L.(1973). “Optimal random vibration absorbers.” J. Eng. Mech. Div., 99(3), 612–616.
Klasztorny, M.(1995). “Reduction of steady-state forced vibrations of structures with dynamic absorber.” Earthquake Eng. Struct. Dyn., 24, 1155–1172.
Korenev, B. G., and Reznikov, L. M. (1983). Dynamic vibration absorbers: Theory and technical applications, Wiley, New York.
Kwon, H. C., Kim, M. C., and Lee, I. W.(1998). “Vibration control of bridges under moving loads.” Comput. Struct., 66(4), 473–480.
Randal, S. E., Halsted, D. M., and Taylor, D. L.(1981). “Optimal vibration absorbers for linear damped system.” ASME J. Mech. Des., 103, 908–913.
Snowdon, J. C. (1968). Vibration and shock in damped mechanical system, Wiley, New York.
Snowdon, J. C.(1975). “Vibration of simply supported rectangular and square plate to which lumped masses and dynamic vibration absorbers are attached.” J. Acoust. Soc. Am., 57, 646–654.
Soom, A., and Lee, M.(1983). “Optimal design of linear and nonlinear vibration absorber for damped system.” J. Eng. Ind., 105, 112–119.
Warburton, G. B.(1975). “Reduction of harmonic responses of cylindrical shell.” J. Eng. Ind., 97, 1371–1377.
Warburton, G. B.(1981). “Optimum absorber parameters for minimizing vibration responses.” Earthquake Eng. Struct. Dyn., 9, 251–262.
Warburton, G. B.(1982). “Optimal absorber parameters for various combinations of response and excitation parameters.” Earthquake Eng. Struct. Dyn., 10, 381–401.
Information & Authors
Information
Published In
Copyright
Copyright © 2004 American Society of Civil Engineers.
History
Received: Jan 3, 2002
Accepted: Dec 6, 2002
Published online: Feb 19, 2004
Published in print: Mar 2004
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.