Nonlinear Stochastic Analysis for Lateral Vibration of Footbridge under Pedestrian Narrowband Excitation

Jia, Bo; Yu, Xiaolin; Yan, Quansheng; Zheng, Yuehui

doi:10.1155/2017/5967491

Cited by 3 publications

(3 citation statements)

References 30 publications

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“…(5) The overall acceleration response shapes of the Eurocode loading has only one pulse, but in the actual human loading, this shape can be comprised of multi-pulse depending on the pedestrian speeds; Slow walking has two pulses, normal walking has five pulses and fast walking has three pulses. (6) The lateral accelerations of the bridge under the loading presented by the Eurocode are greater than the actual human loading. (7) The greatest amounts of acceleration responses to the actual human loadings are related to slow, normal and fast walking rates respectively.…”

Section: Resultsmentioning

confidence: 99%

“…Also, as a result of a study, it is found out that the dynamic excitations induced by people walking together are not periodic but are narrow-band random phenomena and varies significantly not only among different people but also for a single person who cannot repeat two identical steps [5]. Another study has been proposed a nonlinear stochastic model approach for modeling lateral vibration of footbridges taking into account for narrowband randomness caused by the variability between two subsequent walking steps [6]. These studies indicate that the determination of the dynamic interaction mechanisms between the pedestrians and the bridges has been of special concern in the past few years and have been studied a lot [7].…”

Section: Introductionmentioning

confidence: 99%

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Dynamic Analysis of Suspension Footbridges Using an Actual Pedestrian Load Model Compared with EUR23984 EN Requirements

Samadi

Ahari

2019

IJE

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A B S T R A C TThe suspension footbridges are very flexible due to their geometrical structure; hence they may face severe vibration problems induced mainly by natural forces and pedestrians crossing. By exceeding a certain limit, these vibrations can disturb the serviceability of the bridge as well as health and safety of the structure and pedestrians. Therefore, standard design guidelines are sets of recommendations to control the vibrations by applying restrictive design criteria. Because of the complexity of the exact simulation of the human-induced loads, these guidelines provide simplified methods to cover the frequency ranges of the human motion types in order to estimate the response of the structure without modeling the actual motion. As current paper, the simplified loading method proposed by EUR23984 EN code-as the main footbridge design standard was investigated. Its compliance with pedestrian's synchronization phenomenon was evaluated using the analysis results of a discontinuous type loading model proposed by authors. It was shown that the response of the footbridge strictly depends on the type and the speed of the pedestrian motion applied to the bridge, which is not included in the design parameters of the code. In this research work, a series of analysis is conducted on a suspension footbridge as a case study under both actual human loads and the simplified loads suggested by the code and the results were compared. It was found out that in the same crowd loading, the actual human loading creates greater vertical accelerations compare to EUR 23984 EN method results.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dynamic Analysis of Suspension Footbridges Using an Actual Pedestrian Load Model Compared with EUR23984 EN Requirements

Samadi

Ahari

2019

IJE

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“…Te results of the tests indicated that the fundamental frequency of the pedestrian bridge could be accurately refected by both the heel-drop and walking loads. However, the long duration and narrow bandwidth of the walking load generated multiple-order harmonics and high-frequency components in the frequency domain, making it challenging to distinguish the fundamental frequency of the bridge [29].…”

Section: Resultsmentioning

confidence: 99%

Vibration Analysis of Low Height-to-Span Ratio Pedestrian Bridge under Human-Induced Excitation

Wang

An²,

Huang

et al. 2023

Advances in Civil Engineering

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Driven by the aesthetic pursuit of the urban landscape, pedestrian bridges become longer, lighter, and slender, which may be susceptible to unacceptable vibrations induced by human activities. This paper presented on-site vibration tests of a pedestrian bridge with a very low height-to-span ratio (1/60). The vibration characteristics and dynamic responses were analyzed using environmental, heel-drop, and walking tests. Then, a verified finite model was established to investigate the effect of the height-to-span ratio and the concrete filling ranges of tree-like steel piers on the vibration characteristics and acceleration responses of this kind of pedestrian bridges. Moreover, the relationship between different peak accelerations under heel-drop and walking at various frequencies by the same person was detailed and studied experimentally and by computer simulation, after which the ratios of the peak acceleration during walking and the one under heel-drop were recommended. Finally, a method that demonstrates the feasibility of predicting the peak acceleration of pedestrian bridges of a small height-to-span ratio across a range of walking frequencies was proposed based on a simplified heel-drop load model developed according to 60 time-history records.

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Stability Reliability of the Lateral Vibration of Footbridges Based on the IEVIE-SA Method

Jia¹,

Mao²,

Yan³

et al. 2021

Computer Modeling in Engineering &Amp; Sciences

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Research on the lateral vibrational stability of footbridges has attracted increasing attention in recent years. However, this stability contains a series of complex mechanisms, such as nonlinear vibration, random excitation, and random stability. The Lyapunov method is regarded as an effective tool for analyzing random vibrational stability; however, it is a qualitative method and can only provide a binary judgment for stability. This study proposes a new method, IEVIE-SA, which combines the energy method based on the comparison between the input energy and the variation of intrinsic energy (IEVIE) and the stochastic averaging (SA) method. The improved Nakamura model was used to describe the lateral nonlinear stochastic vibration of a footbridge, whereby the IEVIE method was used to establish the criteria for judging the lateral vibrational stability. Additionally, the SA method was used to deduce the corresponding backward Kolmogorov equation. Subsequently, the backward Kolmogorov equation was combined with the stability criterion established by the IEVIE method to analyze the first passage stability. The proposed method is a semi-analytical, quantitative method that only requires a small calculation. By applying the proposed method to the Millennium Bridge, method effectiveness was verified by comparing it with the Monte Carlo and traditional Lyapunov methods.

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Nonlinear Stochastic Analysis for Lateral Vibration of Footbridge under Pedestrian Narrowband Excitation

Cited by 3 publications

References 30 publications

Dynamic Analysis of Suspension Footbridges Using an Actual Pedestrian Load Model Compared with EUR23984 EN Requirements

Dynamic Analysis of Suspension Footbridges Using an Actual Pedestrian Load Model Compared with EUR23984 EN Requirements

Vibration Analysis of Low Height-to-Span Ratio Pedestrian Bridge under Human-Induced Excitation

Stability Reliability of the Lateral Vibration of Footbridges Based on the IEVIE-SA Method

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