Dynamic Response of a Slightly Curved Bridges Under Moving Mass Loads

Authors

  • Murat Reis Uludağ University, Engineering Faculty, Görükle, 16059 Bursa, Turkey
  • Yaşar Pala Uludağ University, Engineering Faculty, Görükle, 16059 Bursa, Turkey

DOI:

https://doi.org/10.3846/1822-427X.2009.4.143-148

Keywords:

bridge, beam, curved, moving mass, response

Abstract

In this research, the dynamic response of a slightly curved bridges under moving mass load is studied using an analytical approach. A solution method similar to the method of successive approximation has been used. The method has been exemplified for the special values of the variables. The effects of some variables have been specifically investigated. The results reveal that the inertial, centripetal and Coriolis forces must be involved in the analysis especially when the slightly curved bridges under moving loads with high speed are examined. Depending on the convexity and concavity of the initial curve, the effects of these forces become different. In a curved bridge, the moving mass affects the bridge more than that in a straight bridge with increasing the velocity of the moving mass. It has been observed that the forced vibration of the bridge is strongly influenced by the velocity of the moving mass. Many figures have been plotted to show clearly the effects of the variables.

References

Biggs, J. M.; Suer, H. S.; Kouw, J. M. 1959. Vibration on simplespan highway bridges, Transactions ASCE 124(2979): 291–318.

Esmailzadeh, E.; Ghorashi, M. 1992. Beams Carrying Uniform Partially Distributed Moving Masses. Technical Report of Mechanical Engineering Dept, Sharif University of Technology, Tehran.

Esmailzadeh, E.; Ghorashi, M. 1995. Analysis of a beam traversed by uniform partially distributed moving masses, Journal of Sound and Vibration 184(1): 9–17. DOI: 10.1006/jsvi.1995.0301

Fertis, D. G. 1987. Safety of long-span highway bridges based on dynamic response, in Proc of Bridge and Transmission Line Structures Congress. Ed. by L. Tall. Aug 17–20, 1987, Miami, FL, 449–468.

Grigorjeva, T.; Juozapaitis, A.; Kamaitis, Z. 2006. Simplified engineering method of suspension bridges with rigid cables under action of symmetrical and asymmetrical loads, The Baltic Journal of Road and Bridge Engineering 1(1): 11–20.

Hillerborg, A. 1948. A study of dynamic influences of moving on girders, in 3rd Congress of International Association for Bridge and Structural Engineering, Preliminary Publ., 661–667.

Idnurm, J. 2006. Discrete analysis method for suspension bridges, The Baltic Journal of Road and Bridge Engineering 1(2): 115–119.

Inglis, C. E. 1934. A Mathematical Treatise on Vibration in Railway Bridges. Cambridge University Press, Cambridge.

Karaolides, Ch. K.; Kounadis, A. N. 1983. Forced motion of a simple frame subjected to a moving force, Journal of Sound and Vibration 88(1): 37–45. DOI: 10.1016/0022-460X(83)90677-6

Kolousek, V. 1956a. Dynamics of Civil Engineering Structures. Part II: Continuous Beams and Frame Systems, 2nd edition, SNTL, Prague.

Kolousek, V. 1956b. Dynamics of Civil Engineering Structures. Part III: Selected Topics, SNTL, Prague.

Kolousek, V. 1967. Dynamics of Civil Engineering Structures. Part I: General Problems, 2nd edition, SNTL, Prague.

Kounadis, A. N. 1992. An efficient and simple approximate technique for solving nonlinear initial and boundary-value problems, Computational Mechanics 9(3): 221–231. DOI: 10.1007/BF00350188

Kriloff, A. 1905. Über die erzwungenen Schwingungen von gleichförmigen elastischen Stäben, Mathematische Annalen 61(2): 211–234. DOI: 10.1007/BF01457563

Matsagar, V. A; Jangid, R. S. 2005. Viscoelastic damper connected to adjacent structures involving seismic isolation, Journal of Civil Engineering and Management 11(4): 309–322.

Michaltsos, G. T.; Kounadis, A. N. 2001. The effects of centripetal and Coriolis forces on the dynamic response of light bridges under moving loads, Journal of Vibration and Control 7(3): 315–326. DOI: 10.1177/107754630100700301

Reis, M.; Pala, Y.; Karadere, G. 2008. Dynamic analysis of a bridge supported with many vertical supports under moving load, The Baltic Journal of Road and Bridge Engineering 3(1): 14–20. DOI: 10.3846/1822-427X.2008.3.14-20

Reis, M.; Pala, Y.; Karadere, G. 2008. Dynamic analysis of supported finite beams of small curvature under moving loads, Journal of Solid Mechanics and Materials Engineering 2(2): 176–187. DOI: 10.1299/jmmp.2.176

Stanišić, M. M.; Hardin, J. C. 1969. On response of beams to an arbitrary number of moving masses, Journal of the Franklin Institute 287(2): 115–123. DOI: 10.1016/0016-0032(69)90120-3

Timoshenko, S. 1927. Vibration of bridges, Transactions of the American Society of Mechanical Engineers 53: 53–61.

Timoshenko, S. P. 1911. Erzwungene Schwingungen der prismatischer Stäbe, Zeitsch. f. Mathematik u. Physik. 59(2): 163–203.

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Published

27.09.2009

How to Cite

Reis, M., & Pala, Y. (2009). Dynamic Response of a Slightly Curved Bridges Under Moving Mass Loads. The Baltic Journal of Road and Bridge Engineering, 4(3), 143-148. https://doi.org/10.3846/1822-427X.2009.4.143-148