Theoretical Analysis of Human–Structure Interaction on Steel-Concrete Composite Floors
Publication: Journal of Engineering Mechanics
Volume 146, Issue 4
Abstract
An accurate determination on the acceleration response of a long-span and lightweight steel-concrete composite floor is essential for assessing the floor’s human-induced vibration serviceability, in which the interaction between human and structure should be considered. In the theoretical analysis, the human and floor subsystem are idealized as the linear oscillator model and anisotropic rectangular plate, respectively. This paper presents an analytical approach to determine the acceleration response induced by the walking activity on a steel-concrete composite floor with two opposite edges simply supported and the other two edges clamped. The proposed approach is based on the combined weighted residual and perturbation method. Implementation of this method is simple and avoids cumbersome mathematical calculations. The theoretical solution is validated with experimental results. A sensitivity study using the analytical solution was also conducted to investigate the effects of walking path, damping ratio, and walking frequency on the peak acceleration.
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Data Availability Statement
The data that support the findings of this study are openly available in “Vibration performance of composite steel-bar truss slab with steel girder” at https://doi.org/10.12989/scs.2019.30.6.577.
Acknowledgments
The authors are grateful for the financial support provided by the National Natural Science Foundation of China (Grant No. 51908084).
References
Al-Foqaha’a, A. A. 1997. Design criterion for wood floor vibrations via finite element and reliability analyses. Pullman, Washington, DC: Washington State Univ.
Bertram, J. E. A., and A. Ruina. 2001. “Multiple walking speed-frequency relations are predicted by constrained optimization.” J. Theor. Biol. 209 (4): 445–453. https://doi.org/10.1006/jtbi.2001.2279.
Bruno, L., and F. Venuti. 2009. “Crowd-structure interaction in footbridges: Modelling, application to a real case-study and sensitivity analyses.” J. Sound Vib. 323 (1–2): 475–493. https://doi.org/10.1016/j.jsv.2008.12.015.
Cacho-Pérez, M., and A. Lorenzana. 2017. “Walking model to simulate interaction effects between pedestrians and lively structures.” J. Eng. Mech. 143 (9): 04017109. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001326.
Cao, L., J. P. Liu, and Y. F. Chen. 2018. “Vibration performance of arch prestressed concrete truss girder under impulse excitation.” Eng. Struct. 165 (Jun): 386–395. https://doi.org/10.1016/j.engstruct.2018.03.050.
China Architecture and Building Press. 2010. Code for design of concrete structures. GB 50010. Beijing: China Architecture and Building Press.
Harrison, R. E., S. Yao, J. R. Wright, A. Pavic, and P. Reynolds. 2008. “Human jumping and bobbing forces on flexible structures: Effect of structural properties.” J. Eng. Mech. 134 (8): 663–675. https://doi.org/10.1061/(ASCE)0733-9399(2008)134:8(663).
He, X. T., L. Cao, J. Y. Sun, and Z. L. Zheng. 2014. “Application of a biparametric perturbation method to large-deflection circular plate problems with a bimodular effect under combined loads.” J. Math. Anal. Appl. 420 (1): 48–65. https://doi.org/10.1016/j.jmaa.2014.05.016.
Jimenez-Alonso, J. F., A. Saez, E. Caetano, and A. Cunha. 2014. “Proposal and calibration of an human-structure interaction biomechanical model by the resolution of the inverse dynamic problem.” In Proc., 9th Int. Conf. on Structural Dynamic. Porto, Portugal: European Association for Structural Dynamics.
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.
Jones, C. A., P. Reynolds, and A. Pavic. 2011. “Vibration serviceability of stadia structures subjected to dynamic crowd loads: A literature review.” J. Sound Vib. 330 (8): 1531–1566. https://doi.org/10.1016/j.jsv.2010.10.032.
Kiran, R., L. Li, and K. Khandelwal. 2017. “Complex perturbation method for sensitivity analysis of nonlinear trusses.” J. Eng. Mech. 143 (1): 04016154. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001619.
Kuo, A. D. 2001. “A simple model of bipedal walking predicts the preferred speed-step length relationship.” J. Biomech. Eng. 123 (3): 264–269. https://doi.org/10.1115/1.1372322.
Li, D. J., T. Li, Q. G. Li, T. Liu, and J. G. Yi. 2016. “A simple model for predicting walking energetics with elastically-suspended backpack.” J. Biomech. 49 (16): 4150–4153. https://doi.org/10.1016/j.jbiomech.2016.10.037.
Liu, J. P., L. Cao, and Y. F. Chen. 2019a. “Analytical solution for free vibration of multi-span continuous anisotropic plates by the perturbation method.” Struct. Eng. Mech. 5 (3): 283–295. https://doi.org/10.12989/sem.1997.5.3.283.
Liu, J. P., L. Cao, and Y. F. Chen. 2019b. “Vibration performance of composite steel-bar truss slab with steel girder.” Steel Compos. Struct. 30 (6): 577–589. https://doi.org/10.12989/scs.2019.30.6.577.
Maca, J., and M. Valasek. 2011. “Interaction of human gait and footbridges.” In Proc., 8th Int. Conf. on Structural Dynamics. Ghent: Ghent Univ.
Matsumoto, Y., and M. J. Griffin. 2003. “Mathematical models for the apparent masses of standing subjects exposed to vertical whole-body vibration.” J. Sound Vib. 260 (3): 431–451. https://doi.org/10.1016/S0022-460X(02)00941-0.
Mirshekari, M., S. J. Pan, J. Fagert, E. M. Schooler, P. Zhang, and H. Y. Noh. 2018. “Occupant localization using footstep-induced structural vibration.” Mech. Syst. Signal Process 112: 77–97. https://doi.org/10.1016/j.ymssp.2018.04.026.
Murray, T. M., D. E. Allen, E. E. Ungar, and D. B. Davis. 2016. Vibrations of steel-framed structural due to human activity. 2nd ed. Chicago: AISC.
Pagliara, R., M. Snaterse, and J. M. Donelan. 2014. “Fast and slow processes underlie the selection of both step frequency and walking speed.” J. Exp. Biol. 217 (16): 2939–2946. https://doi.org/10.1242/jeb.105270.
Pan, S. J., T. Yu, M. Mirshekari, J. Fagert, A. Bonde, O. J. Mengshoel, H. Y. Noh, and P. Zhang. 2017. “Footprintid: Indoor pedestrian identification through ambient structural vibration sensing.” In Proc., ACM on Interactive, Mobile, Wearable and Ubiquitous Technologies. 1 (3): 89. https://doi.org/10.1145/3130954.
Papadimitriou, C., J. L. Beck, and L. S. Katafygiotis. 1997. “Asymptotic expansions for reliability and moments of uncertain systems.” J. Eng. Mech. 123 (12): 1219–1229. https://doi.org/10.1061/(ASCE)0733-9399(1997)123:12(1219).
Poston, J. D. 2018. ILoViT: Indoor localization via vibration tracking. Blacksburg, VA: Virginia Polytechnic Institute and State Univ.
Qin, J. W., S. S. Law, Q. S. Yang, and N. Yang. 2014. “Finite element analysis of pedestrian-bridge dynamic interaction.” J. Appl. Mech. 81 (4): 041001. https://doi.org/10.1115/1.4024991.
Reuland, Y., S. G. S. Pai, S. Drira, and I. F. C. Smith. 2017. “Vibration-based occupant detection using a multiple-model approach.” In Vol. 2 of Dynamics of civil structures. Cham, Switzerland: Springer.
Shahabpoor, E., A. Pavic, and V. Racic. 2013. “Using MSD model to simulate human-structure interaction during walking.” In Vol. 4 of Topics in dynamics of civil structures. New York: Springer.
Smith, A. L., S. J. Hicks, and P. J. Devine. 2009. Design of floors for vibration: A new approach. Ascot, UK: Steel Construction Institute.
Timoshenko, S., and S. Woinowsky-Krieger. 1959. Theory of plates and shells. New York: McGraw-Hill.
Tubino, F. 2018. “Probabilistic assessment of the dynamic interaction between multiple pedestrians and vertical vibrations of footbridges.” J. Sound Vib. 417 (Mar): 80–96. https://doi.org/10.1016/j.jsv.2017.11.057.
Zhang, S. G., L. Xu, and J. W. Qin. 2017. “Vibration of lightweight steel floor systems with occupants: Modelling, formulation and dynamic properties.” Eng. Struct. 147 (Sep): 652–665. https://doi.org/10.1016/j.engstruct.2017.06.008.
Zhen, B., W. K. Wong, J. Xu, and W. P. Xie. 2013. “Application of Nakamura’s model to describe the delayed increase in lateral vibration of footbridges.” J. Eng. Mech. 139 (12): 1708–1713. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000579.
Zhou, X. H., L. Cao, Y. F. Chen, J. P. Liu, and J. Li. 2016. “Acceleration response of prestressed cable RC truss floor system subjected to heel-drop loading.” J. Perform. Constr. Facil. 30 (5): 04016014. https://doi.org/10.1061/(ASCE)CF.1943-5509.0000864.
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Published In
Journal of Engineering Mechanics
Volume 146 • Issue 4 • April 2020
Copyright
©2020 American Society of Civil Engineers.
History
Received: Dec 2, 2018
Accepted: Sep 20, 2019
Published online: Jan 20, 2020
Published in print: Apr 1, 2020
Discussion open until: Jun 20, 2020
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