Updating Time-Variant Dimension for Complex Traffic Flows in Analysis of Vehicle–Bridge Dynamic Interaction
Publication: Journal of Aerospace Engineering
Volume 31, Issue 4
Abstract
A rational simulation of the interactions between random traffic and bridges is significant for evaluating existing bridges’ performance. In this paper, an innovative time-variant dimension updating method (TVDUM) for random traffic and bridges is proposed for coupled vehicle and bridge dynamic interactions. A detailed procedure for the TVDUM is provided based on the traditional fully coupled vehicle–bridge dynamic system. Starting from introducing the random traffic flow simulation and establishing a typical vehicle dynamic model database, the implementation process of the TVDUM and important treatment strategies of the integrated coupled dynamic system are described in detail. The numerical case study on an existing bridge indicates that the new method has better calculation efficiency and can avoid the iterative calculation in a time step and uncertainty of computing time compared with the classic iterative method, especially for short-span and medium-span bridges.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The authors greatly appreciate the financial support provided by the National Science Foundation of China (Grant No. 51108132). The contents of the paper reflect only the views of the authors.
References
Blejwas, T. E., C. C. Feng, and R. S. Ayre. 1979. “Dynamic interaction of moving vehicles and structures.” J. Sound Vib. 67 (4): 513–521. https://doi.org/10.1016/0022-460X(79)90442-5.
Broquet, C., S. F. Bailey, M. Fafard, and E. Bruhwiler. 2004. “Dynamic behavior of deck slabs of concrete road bridges.” J. Bridge Eng. 9 (2): 137–146. https://doi.org/10.1061/(ASCE)1084-0702(2004)9:2(137).
Cai, C. S., and S. R. Chen. 2004. “Framework of vehicle-bridge-wind dynamic analysis.” J. Wind Eng. Ind. Aerodyn. 92 (7–8): 579–607. https://doi.org/10.1016/j.jweia.2004.03.007.
Calcada, R., A. Cunha, and R. Delgado. 2005. “Analysis of traffic-induced vibrations in a cable-stayed bridge. I: Experimental assessment.” J. Bridge Eng. 10 (4): 370–385. https://doi.org/10.1061/(ASCE)1084-0702(2005)10:4(370).
Chen, S. R., and J. Wu. 2010. “Dynamic performance simulation of long-span bridge under combined loads of stochastic traffic and wind.” J. Bridge Eng. 15 (3): 219–230. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000078.
Chen, S. R., and J. Wu. 2011. “Modeling stochastic live load for long-span bridge based on microscopic traffic flow simulation.” Comput. Struct. 89 (9–10): 813–824. https://doi.org/10.1016/j.compstruc.2010.12.017.
Chen, Y. B., and M. Q. Feng. 2006. “Modeling of traffic excitation for system identification of bridge structures.” Comput.-Aided Civ. Infrastruct. Eng. 21 (1): 57–66. https://doi.org/10.1111/j.1467-8667.2005.00416.x.
Deng, L., and C. S. Cai. 2010. “Development of dynamic impact factor for performance evaluation of existing multi-girder concrete bridges.” Eng. Struct. 32 (1): 21–31. https://doi.org/10.1016/j.engstruct.2009.08.013.
Deng, L., Y. Yu, Q. L. Zou, and C. S. Cai. 2015. “State-of-the-art review on dynamic impact factors of highway bridges.” J. Bridge Eng. 20 (5): 0401408. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000672.
Ditlevsen, O. 1994. “Traffic loads on large bridges modeled as white-noise fields.” J. Eng. Mech. 120 (4): 681–694. https://doi.org/10.1061/(ASCE)0733-9399(1994)120:4(681).
Dodds, C. J., and J. D. Robson. 1973. “The description of road surface roughness.” J. Sound Vib. 31 (2): 175–183. https://doi.org/10.1016/S0022-460X(73)80373-6.
Dubbs, N. C., and F. L. Moon. 2016. “Assessment of long-span bridge performance issues through an iterative approach to ambient vibration-based structural identification.” J. Perform. Constr. Facil. 30 (5): 04016029. https://doi.org/10.1061/(ASCE)CF.1943-5509.0000877.
Guo, W. H., and Y. L. Xu. 2001. “Fully computerized approach to study cable-stayed bridge-vehicle interaction.” J. Sound Vib. 248 (4): 745–761. https://doi.org/10.1006/jsvi.2001.3828.
Han, W., L. Ma, B. Wang, S. Yuan, and J. Wu. 2013. “Refinement analysis and dynamic visualization of traffic-bridge coupling vibration system.” China J. Highway Transp. 26 (4): 78–87.
Huang, D., and T. L. Wang. 1992. “Impact analysis of cable-stayed bridges.” Comput. Struct. 43 (5): 897–908. https://doi.org/10.1016/0045-7949(92)90304-I.
ISO. 1995. Mechanical vibration-road surface profiles—Reporting of measured data. ISO 8068: (E). Geneva: ISO.
Li, H., H. Xia, M. Soliman, and D. M. Frangopol. 2015. “Bridge stress calculation based on the dynamic response of coupled train-bridge system.” Eng. Struct. 99 (9): 334–345. https://doi.org/10.1016/j.engstruct.2015.04.014.
Li, X. G., B. Jia, Z. Y. Gao, and R. Jiang. 2006. “A realistic two-lane cellular automata traffic model considering aggressive lane-changing behavior of fast vehicle.” Phys. A. 367 (7): 479–486. https://doi.org/10.1016/j.physa.2005.11.016.
Li, Y., W. Bao, X. Guo, and X. Y. Cheng. 1997. Structural reliability for highway bridges and probability based limit state design. Beijing: China Communications Press.
Li, Y., C. S. Cai, Y. Liu, Y. Chen, and J. Liu. 2016. “Dynamic analysis of a large span specially shaped hybrid girder bridge with concrete-filled steel tube arches.” Eng. Struct 106 (1): 243–260. https://doi.org/10.1016/j.engstruct.2015.10.026.
Liu, J. 2014. “Dynamic response analysis of highway concrete simply supported beam bridges with damage under moving vehicles.” M.S. dissertation, Dept. of Bridge and Tunnel Engineering, Harbin Institute of Technology.
Mullard, J. A., and M. G. Stewart. 2009. “Stochastic assessment of timing and efficiency of maintenance for corroding RC structures.” J. Struct. Eng. 135 (8): 887–895. https://doi.org/10.1061/(ASCE)0733-9445(2009)135:8(887).
Nagel, K., and M. Schreckenberg. 1992. “A cellular automaton model for freeway traffic.” J. de Physique I 2 (12): 2221–2229. https://doi.org/10.1051/jp1:1992277.
Obrien, E. J., D. Cantero, B. Enright, and A. González. 2010. “Characteristic dynamic increment for extreme traffic loading events on short and medium span highway bridges.” Eng. Struct. 32 (12): 3827–3835. https://doi.org/10.1016/j.engstruct.2010.08.018.
Oh, B. H., Y. Lew, and Y. C. Choil. 2007. “Realistic assessment for safety and service life of reinforced concrete decks in girder bridges.” J. Bridge Eng. 12 (4): 410–418. https://doi.org/10.1061/(ASCE)1084-0702(2007)12:4(410).
Rickert, M., K. Nagel, M. Schreckenberg, and A. Latour. 1996. “Two lane traffic simulations using cellular automata.” Phys. A. 231 (4): 534–550. https://doi.org/10.1016/0378-4371(95)00442-4.
Timoshenko, S., D. H. Young, and W. Weaver. 1974. Vibration problems in engineering. New York: Wiley.
Wang, D., Y. Liu, and P. Huang. 2009. “Research on vehicle-bridge coupled vibration for two-way curved arch bridge under random traffic flow.” [In Chinese.] China J. Highway Transp. 22 (6): 67–73.
Wang, W., L. Deng, and X. Shao. 2016. “Number of stress cycles for fatigue design of simply-supported steel I-girder bridges considering the dynamic effect of vehicle loading.” Eng. Struct. 110 (3): 70–78. https://doi.org/10.1016/j.engstruct.2015.11.054.
Wu, Z. 2016. “Research on fatigue life analysis method of RC bridge deck under random traffic loads.” M.S. dissertation, Dept. of Bridge and Tunnel Engineering, Harbin Institute of Technology.
Xu, Y. L., Q. Li, D. J. Wu, and Z. W. Chen. 2010. “Stress and acceleration analysis of coupled vehicle and long-span bridge systems using the mode superposition method.” Eng. Struct. 32 (5): 1356–1368. https://doi.org/10.1016/j.engstruct.2010.01.013.
Yin, X., Z. Fang, C. S. Cai, and L. Deng. 2010. “Non-stationary random vibration of bridges under vehicles with variable speed.” Eng. Struct. 32 (8): 2166–2174. https://doi.org/10.1016/j.engstruct.2010.03.019.
Yin, X. F., and L. Deng. 2015. “Impact factor analysis of bridges under random traffic loads.” [In Chinese.] J. Hunan Univ. 42 (9): 68–75.
Yu, Y., L. Deng, W. Wang, and C. S. Cai. 2016. “Local impact analysis for deck slabs of prestressed concrete box-girder bridges subject to vehicle loading.” J. Vibr. Control 23 (1): 31–45. https://doi.org/10.1177/1077546315575434.
Zhang, W., and C. S. Cai. 2013. “Reliability based dynamic amplification factor on stress ranges for fatigue design of existing bridges.” J. Bridge Eng. 18 (6): 538–552. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000387.
Zhang, X. 2014. Study on vehicle load standard of highway bridge. Beijing: China Communications Press.
Zou, Q., L. Deng, T. Guo, and X. Yin. 2016. “Comparative study of different numerical models for vehicle-bridge interaction analysis.” Int. J. Struct. Stability Dyn. 16 (9): 1550057 https://doi.org/10.1142/S0219455415500571.
Information & Authors
Information
Published In
Copyright
©2018 American Society of Civil Engineers.
History
Received: Aug 15, 2017
Accepted: Dec 27, 2017
Published online: Apr 27, 2018
Published in print: Jul 1, 2018
Discussion open until: Sep 27, 2018
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.