TY - JOUR
T1 - Practical formula for determining peak acceleration of footbridge under walking considering human-structure interaction
AU - Cao, Liang
AU - Zhou, Hailei
AU - Frank Chen, Y.
N1 - Funding Information:
Fundamental Research Funds for the Central Universities (Grant No. 531118010784).
Funding Information:
The authors are grateful for the financial support provided by the National Natural Science Foundation of China (Grant No. 51908084, 52278175), and the • Under the single pedestrian condition, the closer to the midspan of the footbridge, the stronger the HSI effect. • As the walking frequency nears the fundamental natural frequency of the footbridge, the β ratio (i.e., the HSI effect) gradually approaches its maximum value. • The HSI effect tends to decrease with the increasing damping ratio ξp and human frequency fp, and increase slightly with the increasing sprung mass ma. • The HSI effect ( ratio) increases with the increasing footbridge mass mf and length L, but decreases with the increasing footbridge stiffness kf. • Under the condition of multi pedestrians, the superposition principle is not suitable for analyzing the HSI problem. • The synergistic effect of pedestrians increases the walking load. • The peak acceleration with the HSI may be determined by the following simplified formula: pwjg
Publisher Copyright:
Copyright © 2022 Techno-Press, Ltd.
PY - 2022/9/25
Y1 - 2022/9/25
N2 - In this paper, an analytical formulation is proposed to predict the vertical vibration response due to the pedestrian walking on a footbridge considering the human-structure interaction, where the footbridge and pedestrian are represented by the Euler beam and linear oscillator model, respectively. The derived coupled equation of motion is a nonlinear fourth-order partial differential equation. An uncoupled solution strategy based on the combined weighted residual and perturbation method) is proposed to reduce the tedious computation, which allows the separate integration between the bridge and pedestrian subsystems. The theoretical study demonstrates that the pedestrian subsystem can be treated as a structural system with added mass, damping, and stiffness. The analysis procedure is then applied to a case study under the conditions of single pedestrian and multi pedestrians, and the results are validated and compared numerically. For convenient vibration design of a footbridge, the simplified peak acceleration formula and the idea of decoupling problem are thus proposed.
AB - In this paper, an analytical formulation is proposed to predict the vertical vibration response due to the pedestrian walking on a footbridge considering the human-structure interaction, where the footbridge and pedestrian are represented by the Euler beam and linear oscillator model, respectively. The derived coupled equation of motion is a nonlinear fourth-order partial differential equation. An uncoupled solution strategy based on the combined weighted residual and perturbation method) is proposed to reduce the tedious computation, which allows the separate integration between the bridge and pedestrian subsystems. The theoretical study demonstrates that the pedestrian subsystem can be treated as a structural system with added mass, damping, and stiffness. The analysis procedure is then applied to a case study under the conditions of single pedestrian and multi pedestrians, and the results are validated and compared numerically. For convenient vibration design of a footbridge, the simplified peak acceleration formula and the idea of decoupling problem are thus proposed.
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U2 - 10.12989/sem.2022.83.6.729
DO - 10.12989/sem.2022.83.6.729
M3 - Article
AN - SCOPUS:85140219103
SN - 1225-4568
VL - 83
SP - 729
EP - 744
JO - Structural Engineering and Mechanics
JF - Structural Engineering and Mechanics
IS - 6
ER -