Closed-form solution for the mode superposition analysis of the vibration in multi-span beam bridges caused by concentrated moving loads

Computers and Structures

Volumn 119, Issue , 2013, Pages 85-94

  Johansson, C ^a,b   Pacoste, C ^a,b   Karoumi, R ^a  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

^b ELU Konsult AB   (Sweden)

Author keywords

Dynamic; High speed train; Moving load; Multi span beam; Railway bridge; Vibration

Indexed keywords

HIGH SPEED TRAINS; MOVING LOAD; MULTI-SPAN BEAMS; RAILWAY BRIDGES; VIBRATION;

BOUNDARY CONDITIONS; DYNAMICS; LAPLACE TRANSFORMS;

OFFSHORE PIPELINES;

EID: 84873620203     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2013.01.003     Document Type: Article

References (29)

1. P. Museros, M.L. Romero, A. Poy, and E. Alarcon Advances in the analysis of short span railway bridges for high-speed lines Comput Struct 80 2002 27 30
2. European Rail Research Institute (ERRI) D-214 Committee. Rail bridges for speeds over 200 km/h. RP 9, Final report, Utretch, The Netherlands; 1999.
3. European Committee for Standardization (CEN), Eurocode 1: actions on structures-part 2: traffic loads on bridges, Final draft prEN 1991-2; 2002.
4. R.S. Ayre, G. Ford, and L.S. Jacobson Transverse vibration of a two-span bridge under action of a moving constant force J Appl Mech 72 1950 283 290
5. E. Saibel, and W.F.Z. Lee Vibration of a continuous beam under a constant moving force J Franklin Inst 254 1952 499 516
6. L. Fryba Vibration of solids and structures under moving loads 1972 Noordhoff International Publishing The Netherlands
7. R. Hamada Dynamic analysis of a beam under a moving force: a double laplace transform solution J Sound Vib 74 2 1952 221 233
8. A.S. Dmitriev Transverse vibrations of three-span beam under moving load Prikl Mekh 10 2 1974 131 135
9. A.S. Dmitriev Transverse vibrations of two-span beam on elastic support at center under moving concentrated load Prikl Mekh 13 2 1977 131 135
10. A.S. Dmitriev Dynamics of continuous multispan beam under a moving force Sov Appl Mech 18 1982 179 186 (Pubitemid 13510070)
11. C.W. Cai, Y.K. Cheung, and H.C. Chan Dynamic response of infinite continuous beams subjected to a moving force J Sound Vib 123 1988 461 472 (Pubitemid 18648270)
12. R.T. Wang Vibration of multi-span timoshenko beams to a moving force J Sound Vib 207 1997 731 742
13. D.Y. Zheng, Y.K. Cheung, F.T.K. Au, and Y.S. Cheng Vibration of multi-span on uniform beams under moving loads by using modified beam vibration functions J Sound Vib 212 1998 455 467 (Pubitemid 128373659)
14. Y.K. Cheung, F.T.K. Au, D.Y. Zheng, and Y.S. Cheng Vibration of multi-span non-uniform bridges under moving vehicles and trains by using modified beam vibration functions J Sound Vib 228 3 1999 611 628 (Pubitemid 129533158)
15. Y.A. Dugush, and M. Eisenberger Vibrations of non-uniform continuous beams under moving loads J Sound Vib 254 2002 911 926 (Pubitemid 35220910)
16. A.E. Martinez-Castro, P. Museros, and A. Castello-Linares Semi-analytic solution in the time domain for non-uniform multi-span Bernoulli-Euler beams traversed by moving loads J Sound Vib 294 2006 278 297
17. H. Xu, and W. Li Dynamic behavior of multi span bridges under moving loads with focusing on the effect of the coupling conditions between spans J Sound Vib 312 2008 736 753
18. V.D. Salvo, G. Muscolino, and A. Palmeri A substructure approach tailored to the dynamic analysis of multi-span continuous beams under moving loads J Sound Vib 329 2010 3101 3120
19. H.P. Lee Dynamic response of a beam with intermediate point constraints subject to a moving load J Sound Vib 171 1994 361 368
20. P.K. Chatterjee, T.K. Datta, and C.S. Surana Vibration of continuous bridges under moving vehicle J Sound Vib 169 1994 619 632
21. Y.B. Yang, S.S. Liao, and B. Lin Impact formulas for vehicle moving over simple and continuous beams J Struct Eng 121 1995 1644 1650
22. H.P. Lee Dynamic response of a beam on multiple supports with a moving mass Struct Eng Mech 4 1996 303 312 (Pubitemid 126557012)
23. K. Henchi, M. Fafard, G. Dhatt, and M. Talbot Dynamic behaviour of multi-span beams under moving loads J Sound Vib 199 1 1997 33 50 (Pubitemid 127402952)
24. M. Ichikawa, Y. Miyakawa, and A. Matsuda Vibration analysis of the continuous beam subjected to a moving mass J Sound Vib 230 2000 493 506
25. T. Hayashikawa, and N. Watanabe Dynamic behavior of continuous beams with moving load J Eng Mech Div 107 1981 229 246 (Pubitemid 11450338)
26. J.L. Humar Dynamics of structures 2012 CRC Press Boca Raton, FL
27. S.S. Rao Vibration of continuous system 2007 John Wiley Sons, Inc Coral Gables, Florida
28. D. Systèmes, Abaqus 6.10: Analysis user's manual, Providence, RI: Dassault Systèmes Simulia Corp.
29. K. Bathe Finite element procedures vol. 2 1996 Prentice hall Englewood Cliffs, NJ