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Dynamic Responses of Beams with a Flexible Support Under a Constant Speed Moving Load

Published online by Cambridge University Press:  05 May 2011

H.-P. Lin
H.-P. Lin*
Affiliation:
Department of Mechanical and Automation Engineering, Da-Yeh University, Changhua, Taiwan 51505, R.O.C.
*
*Professor
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Abstract

This paper deals with the linear dynamic responses of beams with a flexible support under a moving load with a constant speed. The entire system is modeled as a two-span beam and each span of the continuous beams is assumed to obey the Euler-Bernoulli beam theory. Considering the compatibility requirements on the flexible constraint, the relationships between two segments can be obtained. By using a transfer matrix method, the characteristic equation of the entire system can then be determined. The forced responses of the system under a moving load can then be obtained through modal expansion theory. Some numerical results are presented to the effects of support stiffness and the different speeds of the moving load.

Keywords

Beam structureEigenvalueEigensolutionTransfer matrixFlexible supportMoving load.
Type
Articles
Information
Journal of Mechanics , Volume 24 , Issue 2 , June 2008 , pp. 195 - 204
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2008

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References

1.Hilal, M. A. and Zibdeh, H. S., “Vibration Analysis of Beams with General Boundary Conditions Traversed by a Moving Force,” J. Sound and Vibration, 229, pp. 377–388 (2000).CrossRefGoogle Scholar
2.Fryba, L., Vibration of Solids and Structures Under Moving Loads, Noordhoff International Publishing, The Netherlands (1972).Google Scholar
3.Fryba, L., Dynamics of Railway Bridges, Thomas Telford Services Ltd., Prague (1996).Google Scholar
4.Timoshenko, S. P., “On the Forced Vibration of Bridges,” Philosophical Magazine, 6, p. 1018 (1922).Google Scholar
5.Lee, H. P., “Transverse Vibration of a Timoshenko Beam Acted on by an Accelerating Mass,” Applied Acoustics, 47, pp. 319–330 (1996).CrossRefGoogle Scholar
6.Cai, Y, Chen, S. S., Rote, D. M. and Coffey, H. T., “Vehicle/Guide Interaction for High Speed Vehicles on Flexible Guideway,” J. Sound and Vibration, 175, pp. 625–646 (1994).Google Scholar
7.Muscolino, G., Benfratello, S. and Sidoti, A., “Dynamics Analysis of Distributed Parameter System Subjected to a Moving Oscillator with Random Mass, Velocity and Acceleration,” Probabilistic Engineering Mechanics, 17, pp. 63–72 (2002).CrossRefGoogle Scholar
8.Lee, H. P., “Dynamic Response of a Beam with Intermediate Point Constraints Subject to a Moving Load,” J. Sound and Vibration, 171, pp. 361–368 (1994).CrossRefGoogle Scholar
9.Wang, R. T., “Vibration of Multi-Span Timoshenko Beams to a Moving Force,” J. Sound and Vibration, 207, pp. 731–742(1997).CrossRefGoogle Scholar
10.Yang, Y. B., Liao, S. S. and Lin, B. H., “Impact Formulas for Vehicle Moving Over Simple and Continuous Beams,” J. of Structural Engineering, American Society of Civil Engineers, 121, pp. 1644–1650(1995).Google Scholar
11.Chatterjee, P. K., Datta, T. K. and Surana, C. S., “Vibration of Continuous Bridges Under Moving Vehicle,” J. Sound and Vibration, 169, pp. 619–632 (1994).CrossRefGoogle Scholar
12.Ichikawa, M., Miyakawa, Y. and Matsuda, A., “Vibration Analysis of the Continuous Beam Subjected to a Moving Mass,” J. Sound and Vibration, 230, pp. 493–506 (2000).CrossRefGoogle Scholar
13.Lin, H. P. and Chang, S. C., “Free Vibration Analysis of Multi-Span Beams with Intermediate Flexible Constraints,” J. Sound and Vibration, 281, pp. 155–169 (2005).CrossRefGoogle Scholar
14.Shames, I. H. and Dym, C. L., Energy and Finite Element Methods in Structural Mechanics, McGraw-Hill, New York (1985).Google Scholar
15.Lin, H. P. and Chen, C. K., “Analysis of Cracked Beams by Transfer Matrix Method,” The 25th National Conference on Theoretical and Applied Mechanics, Taiwan, pp. 3123–3132 (2001).Google Scholar
16.Lin, H. P. and Perkins, N. C., “Free Vibration of Complex Cable/Mass System, Theory and Experiment,” J.Sound and Vibration, 179, pp. 131–149 (1995).CrossRefGoogle Scholar
17.Tsai, T. C. and Wang, Y. Z., “Vibration Analysis and Diagnosis of a Cracked Shaft,” J. Sound and Vibration, 192, pp. 607–620(1996).Google Scholar
18.Chondros, T. G., Dimarogonas, A. D. and Yao, J., “A Continuous Cracked Beam Vibration Theory,” J. Sound and Vibration, 215, pp. 17–34 (1998).CrossRefGoogle Scholar