A Fourier series model and parametric study for single person three-way continuous walking load

Authors

  • Ping Li

DOI:

https://doi.org/10.62051/a32pct74

Keywords:

three-way continuous walking load; walking load characteristics; Fourier series model; dynamic load factor; phase angle.

Abstract

The characteristics and mathematical model of the walking load is the basis for studying   human-induced vibration in large-span flexible structures. In this paper, 2842 sets of effective walking load datum were collected by three-way force plate test. The correlation analysis shows that the correlations between the vertical component, the horizontal component and the longitudinal component of the walking load are weak, the Fourier series models of the three directional components of the walking load are established. The model parameters of the dynamic loading factor, the phase angle and the walking frequency function with respect to walking frequency are analyzed statistically, and the function of dynamic load factor and phase angle with respect to walking frequency are obtained respectively. Compared with the existing walking load model, it shows that there are some differences from the former models.

Downloads

Download data is not yet available.

References

CJJ 69-1996. Technical specification for urban footbridges and pedestrian tunnels [S]. Beijing: China Construction Industry Press, 1996.

Fujino Y, Pacheco BM, Nakamura SI. Synchronization of human walking observed during lateral vibration of a congested pedestrian bridge[J]. Earthquake Engineering and Structural Dynamics, 1993, 22(9): 741-758. DOI: https://doi.org/10.1002/eqe.4290220902

Dallard P, Fitzpatrick T, Flint A. London millennium bridge: pedestrian-induced lateral vibration[J]. Journal of Bridge Engineering, 2001, 6(6): 412-417. DOI: https://doi.org/10.1061/(ASCE)1084-0702(2001)6:6(412)

Racic V, Pavic A, Brownjohn JMW. Experimental identification and analytical modelling of human walking forces: literature review[J]. Journal of Sound and Vibration, 2009, 326(1): 1-49. DOI: https://doi.org/10.1016/j.jsv.2009.04.020

Živanović S, Pavic A, Reynolds P. Vibration serviceability of footbridges under human-induced excitation: a literature review[J]. Journal of Sound and Vibration, 2005, 279(1): 1-74. DOI: https://doi.org/10.1016/j.jsv.2004.01.019

Young P. Improved floor vibration prediction methodologies[C]// Arup vibration seminar. London: 2001.

Chen Zhenqing. Vibration and Dynamic Design of Pedestrian Bridges [M]. Beijing: People's Transportation Press, 2009.

Chen J. Human-induced loads and human-induced structural vibration [M]. Beijing: Science Press, 2016.

Chen J, Wang J, Brownjohn JMW. Power Spectral-Density Model for Pedestrian Walking Load[J]. Journal of Structural Engineering, 2019, 145(2): 1-13. DOI: https://doi.org/10.1061/(ASCE)ST.1943-541X.0002248

FAN Jiansheng, CHEN Yu, NIE Jianguo. Construction and validation of standard pedestrian excitation loads for pedestrian bridges[J]. Journal of Computational Mechanics, 2012, 29(4): 538-544.

Ebrahimpour A, Hamam A, Sack RL. Measuring and modelling dynamic loads imposed by moving crowds[J]. Journal of Structural Engineering, 1996, 122(12): 1468-1474. DOI: https://doi.org/10.1061/(ASCE)0733-9445(1996)122:12(1468)

Jia, J.-P. Statistics [M]. Beijing: Tsinghua University Press, 2006.

Blanco CM, Bouillard P, Bodarwé E. Structural dynamic design of a footbridge under pedestrian loading[C]// 9th samtech users conference. 2005.

Zhao Dingsu, Chen Jun. Study on load correlation and modelling of single person three-way continuous walking[J]. Vibration and Shock, 2019, 38(11): 166-172.

CHEN Jun, WANG Haoqi, PENG Yixin. Experimental study of Fourier series model of travelling excitation and its parameters[J]. Vibration and Shock, 2014, 33(8): 11-15.

CHEN Jun, PENG Yixin, WANG Ling. Modelling of three-way single-leg drop load curve test based on gait analysis technique[J]. Journal of Civil Engineering, 2014, 43(3): 79-87.

Shen Xuanzhao. Study on the comfort of large-span beam-slab structures subjected to human induced vibration [D]. Harbin: Harbin Institute of Technology, 2013.

Ingólfsson ET, Georgakis CT, Ricciardelli F. Experimental identification of pedestrian-induced lateral forces on footbridges[J]. Journal of Sound and Vibration, 2011, 330(6): 1265-1284. DOI: https://doi.org/10.1016/j.jsv.2010.09.034

Bachmann H, Pretlove AJ, Rainer JH. Dynamic forces from rhythmical human body motions[J]. Medical Engineering and Physics, 1991, 12(2): 40-48.

Downloads

Published

20-06-2024

How to Cite

Li, P. (2024) “A Fourier series model and parametric study for single person three-way continuous walking load”, Transactions on Computer Science and Intelligent Systems Research, 4, pp. 172–180. doi:10.62051/a32pct74.