Vibration Analysis of a Flexibly Connected Double Span Beam Traversed by Uniformly Distributed Moving Load

Abstract:

Considering the engineering background of high speed transportation systems such as maglev, vertical vibration of a flexibly connected double span beam is studied. The beam can be taken as two Euler-Bernoulli beams flexibly connected by an elastic joint and the model of it bearing moving distributed load with constant speed is then established. Duhamel integral as well as mode superposition method is applied to solve the dynamic responses of the beam. Numerical analysis base on different parameters such as the length of the train, the span of the beam and the velocity of the train are compared. The following conclusions are made:(1) the left span and right span’s dynamic responses is different so that each span should be analyzed separately; (2)the dynamic response of the beam is tied up with the factors such as the frequency of the beam, the moving frequency of the load and the relative bending stiffness of the joint.

• Periodical: Applied Mechanics and Materials (Volumes 71-78)
• Pages: 375-378
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.71-78.375
• Online since: July 2011
• Authors: Yu Yang, Yun Fang Yang, Qi Mao Cai
• Keywords: Flexibly Connected Double Span Beam, High Speed Transportation, Uniformly Distributed Moving Load, Vibration Analysis (VA)

References

[1] V. D. Salvo, G. Muscolino, A. Palmeri: A substructure approach tailored to the dynamic analysis of multi-span continuous beams under moving loads, JSV, Vol. 329 (2010) , pp.3101-3120.

DOI: 10.1016/j.jsv.2010.02.016

[2] M. Ichikawa, Y. Miyakawa, A. Matsuda: Vibration analysis of the continuous beam subjected to a moving mass, JSV, Vol. 230 (2000), pp.493-506.

DOI: 10.1006/jsvi.1999.2625

[3] R. Meisinger: Control systems for flexible maglev vehicles riding over flexible guideways, Proceedings of IUTAM Symposium, 1975 August, pp.18-22.

DOI: 10.1080/00423117508968493

[4] Y. Cai, S.S. Chen, D. M. Rote, H.T. Coffey: Vehicle/guideway interaction for high speed vehicles on a flexible guideway, JSV, Vol. 175(5) (1994), pp.625-646.

DOI: 10.1006/jsvi.1994.1350

[5] Y. Song, C.J. Hartwigsen, D.M. McFarland, A.F. Vakakisb L.A. Bergman: Simulation of dynamics of beam structures with bolted joints using adjusted Iwan beam elements. JSV, Vol. 273 (2004), pp.249-276.

DOI: 10.1016/s0022-460x(03)00499-1

[6] R.W. Clough, J. Penzien: Dynamics of structures, McGraw-Hill, New York, (1975).

[7] Zhai Wan-ming, Zhao Chun-fa, Cai Cheng-biao, On the Comparison of Dynamic Effects on Bridges of Maglev Trains with High-Speed Wheel/Rail Trains, Journal of Traffic and Transportation Engineering, Vol. 1(1)(2001), pp.7-12.