Technical Papers
Jan 6, 2021

Pedestrian-Induced Load Identification from Structural Responses Using Genetic Algorithm with Numerical and Experimental Validation

Publication: Journal of Bridge Engineering
Volume 26, Issue 3

Abstract

A reliable pedestrian load model is a prerequisite for the accurate calculation of human-induced structural vibration. In recent years, many researchers have proposed pedestrian load models based on direct force measurements, such as force plates. However, direct measurement techniques often suffer from incapability when applied to real structures in operation and can hardly be used to measure crowd loads. In this paper, an inverse load identification method is proposed to extract pedestrian vertical load from structural responses. Through a genetic algorithm, the pedestrian’s pacing frequency, dynamic load factors, and phase angles in the Fourier-series model are identified from structural acceleration responses. The proposed algorithm is further investigated for the identification of multiple-pedestrian load parameters, where structural displacement responses are used to give an equivalent number of pedestrians. Numerical examples demonstrate that the pedestrian load parameters are estimated with high accuracy and robustness against noise and modeling errors. A sensitivity analysis is given to explain the different estimation accuracies among the parameters. Finally, the proposed method is validated through an experimental test, showing its practicality for identifying pedestrian loads in real structures.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The authors would like to acknowledge the financial support provided by the National Natural Science Foundation of China (U1711264 and 51778465), the State Key Laboratory for Disaster Reduction of Civil Engineering (SLDRCE19-B-22), and the Shanghai Sailing Project (20YF1451300).

References

Bachmann, H., and W. Ammann. 1987. Vibrations in structures induced by man and machines. 3rd ed. Zurich, Switzerland: International Association for Bridge and Structural Engineering.
Bobbert, M. F., H. C. Schamhardt, and B. M. Nigg. 1991. “Calculation of vertical ground reaction force estimates during running from positional data.” J. Biomech. 24 (12): 1095–1105. https://doi.org/10.1016/0021-9290(91)90002-5.
Brownjohn, J. M. W., M. Bocian, D. Hester, A. Quattrone, W. Hudson, D. Moore, S. Goh, and M. S. Lim. 2016. “Footbridge system identification using wireless inertial measurement units for force and response measurements.” J. Sound Vib. 384: 339–355. https://doi.org/10.1016/j.jsv.2016.08.008.
CEN (Comité Européen de Normalisation). 1995. Design of timber structuresPart 2: Bridges. Eurocode 5. Brussels, Belgium: CEN.
Chen, J., H. Tan, and Z. Pan. 2016. “Experimental validation of smartphones for measuring human-induced loads.” Smart Struct. Syst. 18 (3): 625–642. https://doi.org/10.12989/sss.2016.18.3.625.
Chen, J., H. Wang, and Y. Peng. 2014. “Experimental investigation on Fourier-series model of walking load and its coefficients.” [In Chinese.] J. Vib. Shock 33 (8): 11–15.
Comer, A. J., A. Blakeborough, and M. S. Williams. 2013. “Rhythmic crowd bobbing on a grandstand simulator.” J. Sound Vib. 332 (2): 442–454. https://doi.org/10.1016/j.jsv.2012.08.012.
Dallard, P., A. J. Fitzpatrick, A. Flint, S. Le Bourva, A. Low, R. M. Ridsdill Smith, and M. Willford. 2001. “The London millennium footbridge.” Struct. Eng. 79 (22): 17–21.
De Brito, V. L., and R. L. Pimentel. 2009. “Cases of collapse of demountable grandstands.” J. Perform. Constr. Facil 23 (3): 151–159. https://doi.org/10.1061/(ASCE)CF.1943-5509.0000006.
Deng, L., and C. S. Cai. 2010. “Bridge model updating using response surface method and genetic algorithm.” J. Bridge Eng. 15 (5): 553–564. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000092.
Dey, P., A. Sychterz, S. Narasimhan, and S. Walbridge. 2016. “Performance of pedestrian-load models through experimental studies on lightweight aluminum bridges.” J. Bridge Eng. 21 (8): C4015005. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000824, C4015005.
Ebrahimpour, A., A. Hamam, R. L. Sack, and W. N. Patten. 1996. “Measuring and modeling dynamic loads imposed by moving crowds.” J. Struct. Eng. 122 (12): 1468–1474. https://doi.org/10.1061/(ASCE)0733-9445(1996)122:12(1468).
Eriksson, P. 1994. “Vibration of low-frequency floors-Dynamic forces and response prediction.” Ph.D. thesis, Unit of Dynamics in Design, Chalmers Univ. of Technology.
Fu, K.-C., Y. Zhai, and S. Zhou. 2005. “Optimum design of welded steel plate girder bridges using a genetic algorithm with elitism.” J. Bridge Eng. 10 (3): 291–301. https://doi.org/10.1061/(ASCE)1084-0702(2005)10:3(291).
Fujino, Y., B. M. Pacheco, S.-I. Nakamura, and P. Warnitchai. 1993. “Synchronization of human walking observed during lateral vibration of a congested pedestrian bridge.” Earthquake Eng. Struct. Dyn. 22: 741–758. https://doi.org/10.1002/eqe.4290220902.
Galbraith, F. W., and M. V. Barton. 1970. “Ground loading from footsteps.” J. Acoust. Soc. Am. 48 (5B): 1288–1292. https://doi.org/10.1121/1.1912271.
Haji Agha Mohammad Zarbaf, S. E., M. Norouzi, R. J. Allemang, V. J. Hunt, A. Helmicki, and D. K. Nims. 2017. “Stay force estimation in cable-stayed bridges using stochastic subspace identification methods.” J. Bridge Eng. 22 (9): 04017055. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001091.
Harper, F. C., W. J. Warlow, and B. L. Clarke. 1961. The force applied to the floor by the foot in walking. I: Walking on a level surface. National Building Studies Research Paper 32. London: Her Majesty's Stationary Office.
Holland, J. H. 1975. Adaptation in natural and artificial systems: An introductory analysis with applications to biology, control, and artificial intelligence, 439–444. Ann Arbor, MI: Univ. of Michigan Press.
Jiménez-Alonso, J. F., A. Sáez, E. Caetano, and Á. Cunha. 2019. “Lateral crowd-structure interaction model to analyse the change of the modal properties of footbridges.” Struct. Control Health Monit. 26 (6): e2356. https://doi.org/10.1002/stc.2356.
Jimenez-Alonso, J. F., A. Saez, E. Caetano, and F. Magalhaes. 2016. “Vertical crowd-Structure interaction model to analyze the change of the modal properties of a footbridge.” J. Bridge Eng. 21 (8): C4015004. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000828.
Kerr, S. C., and N. W. M. Bishop. 2001. “Human induced loading on flexible staircases.” Eng. Struct. 23 (1): 37–45. https://doi.org/10.1016/S0141-0296(00)00020-1.
Koopman, B., H. J. Grootenboer, and H. J. de Jongh. 1995. “An inverse dynamics model for the analysis, reconstruction and prediction of bipedal walking.” J. Biomech. 28 (11): 1369–1376. https://doi.org/10.1016/0021-9290(94)00185-7.
Lee, S.-H., K.-K. Lee, S.-S. Woo, and S.-H. Cho. 2013. “Global vertical mode vibrations due to human group rhythmic movement in a 39 story building structure.” Eng. Struct. 57: 296–305. https://doi.org/10.1016/j.engstruct.2013.09.035.
Lu, Z. R., and S. S. Law. 2007. “Features of dynamic response sensitivity and its application in damage detection.” J. Sound Vib. 303: 305–329. https://doi.org/10.1016/j.jsv.2007.01.021.
Obata, T., and Y. Miyamori. 2006. “Identification of a human walking force model based on dynamic monitoring data from pedestrian bridges.” Comput. Struct. 84 (8–9): 541–548. https://doi.org/10.1016/j.compstruc.2005.11.003.
Racic, V., and J. M. W. Brownjohn. 2011. “Stochastic model of near-periodic vertical loads due to humans walking.” Adv. Eng. Inform. 25 (2): 259–275. https://doi.org/10.1016/j.aei.2010.07.004.
Racic, V., J. M. W. Brownjohn, and A. Pavic. 2010. “Reproduction and application of human bouncing and jumping forces from visual marker data.” J. Sound Vib. 329 (16): 3397–3416. https://doi.org/10.1016/j.jsv.2010.02.021.
Racic, V., A. Pavic, and J. M. W. Brownjohn. 2009. “Experimental identification and analytical modelling of human walking forces: Literature review.” J. Sound Vib. 326 (1–2): 1–49. https://doi.org/10.1016/j.jsv.2009.04.020.
Said, Y. H. 2005. “On genetic algorithms and their applications.” Handb. Stat. 24: 359–390. https://doi.org/10.1016/S0169-7161(04)24013-5.
Schott, J. R. 1995. Fault tolerant design using single and multicriteria genetic algorithm optimization. Wright-Patterson, OH: Air Force Inst of Tech.
Van Nimmen, K., K. Maes, P. Van Den Broeck, G. De Roeck, and G. Lombaert. 2016. “Inverse identification of pedestrian-induced loads.” In Proc., 27th Int. Conf. Noise and Vibration Engineering (ISMA 2016), 643–654. Leuven, Belgium: Katholieke Universiteit.
Wang, H., J. Chen, and J. M. W. Brownjohn. 2017b. “Parameter identification of pedestrian’s spring-mass-damper model by ground reaction force records through a particle filter approach.” J. Sound Vib. 411: 409–421. https://doi.org/10.1016/j.jsv.2017.09.020.
Wang, H., J. Chen, and T. Nagayama. 2019. “Parameter identification of spring-mass-damper model for bouncing people.” J. Sound Vib. 456: 13–29. https://doi.org/10.1016/j.jsv.2019.05.034.
Wang, H., T. Nagayama, B. Zhao, and D. Su. 2017a. “Identification of moving vehicle parameters using bridge responses and estimated bridge pavement roughness.” Eng. Struct. 153: 57–70. https://doi.org/10.1016/j.engstruct.2017.10.006.

Information & Authors

Information

Published In

Go to Journal of Bridge Engineering
Journal of Bridge Engineering
Volume 26Issue 3March 2021

History

Received: Apr 8, 2020
Accepted: Oct 1, 2020
Published online: Jan 6, 2021
Published in print: Mar 1, 2021
Discussion open until: Jun 6, 2021

Permissions

Request permissions for this article.

Authors

Affiliations

Professor, Dept. of Structural Engineering, Tongji Univ., Shanghai 200092, P.R. China. Email: [email protected]
Ph.D. Candidate, Dept. of Structural Engineering, Tongji Univ., Shanghai 200092, P.R. China. ORCID: https://orcid.org/0000-0002-3943-5656. Email: [email protected]
Assistant Professor, Dept. of Structural Engineering, Tongji Univ., Shanghai 200092, P.R. China (corresponding author). Email: [email protected]

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share