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Structural Engineering and Mechanics Volume 83, Number 6, September25 2022 , pages 729-744 DOI: https://doi.org/10.12989/sem.2022.83.6.729 |
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Practical formula for determining peak acceleration of footbridge under walking considering human-structure interaction |
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Liang Cao, Hailei Zhou and Y. Frank Chen
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| Abstract | ||
| 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. | ||
| Key Words | ||
| footbridge, human-structure interaction, perturbation method, vibration serviceability | ||
| Address | ||
| Liang Cao, Hailei Zhou: 1College of Civil Engineering, Hunan University, Changsha 410082, China; Key Laboratory for Damage Diagnosis of Engineering Structures of Hunan Province, Hunan University, Changsha 410082, China Y. Frank Chen: Department of Civil Engineering, The Pennsylvania State University, Middletown, PA, USA | ||