Biomechanically inspired modelling of pedestrian-induced forces on laterally oscillating structures

Bocian, Mateusz; Macdonald, John H G; Burn, Jeremy F.

doi:10.1016/j.jsv.2012.03.023

Cited by 70 publications

(86 citation statements)

References 41 publications

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“…The simulation of vertical loads, based on the force to weight ratios relationships given by [2] is used. The lateral load model was developed using an inverted pendulum (IP) approach in which the pedestrian mass, half step width, lateral step frequency and the anthropometric characteristics of the pedestrian are considered [3,4]. This model is able to realistically represent the lateral loads imparted on the bridge at a particular time and location when the feet contact the ground according to pedestrian characteristics (gait, step width, anthropometric characteristic).…”

Section: Pedestrian Load Representationmentioning

confidence: 99%

Dynamic Response of Girder Footbridges with Supplemental Damping

García-Troncoso¹,

Ruiz-Teran²,

Stafford³

2017

Footbridge 2017 Berlin - Tell a Story: Conference Proceedings 6-8.9.2017 TU-Berlin

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SummaryPedestrian-induced vibration commonly governs serviceability criteria in footbridge design. Simplified approaches to assess these vibrations have resulted in undesirable levels of vibration in built footbridges, highlighting the need to develop more realistic representations of the pedestrian loads as well as approaches to mitigate their effects. To represent these types of loads in an accurate manner it is necessary to consider the anthropometric characteristics (inter-subject variability), the inability that pedestrians have to transmit the same force in each step (intra-subject variability), the interaction between pedestrians and the lock-in effect. It has been observed that some footbridges have experiences serviceability problems due to vibrations with excessive magnitudes. In some of these cases, the human-induced vibration cannot be controlled effectively by using conventional approaches so the use of supplemental damping devices was required. Evaluation of the dynamic response at the design stage under the most realistic representation of pedestrian is crucial to satisfying the comfort criteria. After this evaluation, in cases where the comfort criteria is not fulfilled, an option available to designers is to employ supplemental damping devices to mitigate the pedestrian-induced vibrations. This work presents a parametric study showing the high efficiency of damping devices to mitigate human-induced vibrations in girder footbridges under diverse pedestrian loading scenarios.

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Section: Pedestrian Load Representationmentioning

confidence: 99%

Dynamic Response of Girder Footbridges with Supplemental Damping

García-Troncoso¹,

Ruiz-Teran²,

Stafford³

2017

Footbridge 2017 Berlin - Tell a Story: Conference Proceedings 6-8.9.2017 TU-Berlin

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“…Furthermore, researchers (Abe and Fujino, 1992;Barker, 2002;Hof et al, 2007;Macdonald, 2009;Carroll et al, 2011) have studied an inverted pendulum model, inspired by the field of biomechanics. As indicated in by Macdonald (2009), the lateral displacement and velocity of the center of pedestrian's mass prior to the foot placement are the most important control parameters, while the pedestrians can be well represented by added damping and mass, rather than by external forces.…”

Section: Mu T Cu T Ku T F Tmentioning

confidence: 99%

“…Interesting studies have been presented by Bocian et al (2012;2013), in an attempt to identify the susceptibility of the resulting bridge response arising from the Macdonald's inverted pendulum model, in terms of added modal damping and mass. Particularly, the equivalent added damping, ∆C and mass, ∆M, are quantified for a wide range of bridge response frequency, taking into account variations of leg lengths and pedestrian walking frequency.…”

Section: Mu T Cu T Ku T F Tmentioning

confidence: 99%

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A Review of Human Induced Vibrations on Footbridges

Maraveas¹,

Fasoulakis²,

Tsavdaridis³

2015

American Journal of Engineering and Applied Sciences

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An extensive literature review of human induced vibrations that flexible footbridges experience is addressed in this study. Qualitative information is comprehensively included herein to provide common methods and code recommendations for the practicing engineers. The parameters affecting the dynamic response of footbridges excited by pedestrians are highlighted. In particular, the synchronous lateral excitation is addressed. This investigation can be valuable for the design criteria selection. In addition, this work contributes to the review of numerous case studies correlating important dynamic characteristics for various footbridge structural types, the variability of which confirms the complexity of the issue. Furthermore, vibration upgrading methods are described, focusing on applications of tuned mass dampers and remarkable conclusions are drawn.

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“…The representative deterministic models include the Fujino [1], Dallard [2], Nakamura [3], Ingólfsson [4,5], Macdonald [6,7], Roberts [8], Newland [9], Piccardo [10], Blekherman [11,12], and Strogatz [13] models. The Fujino model can be regarded as a linear direct resonance model where the lateral vibrations are caused by direct resonance; that is, the pedestrian walking frequency is in resonance with the natural frequency of one or more lateral vibration modes.…”

Section: Introductionmentioning

confidence: 99%

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

Jia

Yan

et al. 2017

Mathematical Problems in Engineering

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During the lateral vibration of footbridge, the pedestrian lateral load shows two distinct features: one is the vibration-dependency; another is the narrowband randomness caused by the variability between two subsequent walking steps. In this case, the lateral vibration of footbridge is actually a complicated, nonlinear stochastic system. In this paper, a novel nonlinear stochastic model for lateral vibration of footbridge is proposed, in which a velocity-dependent load model developed from Nakamura model is adopted to represent the pedestrian-bridge interaction and the narrowband stochastic characteristic is considered. The amplitude and phase involved Itô equations are established using the multiscale method. Based on the maximal Lyapunov exponent derived from these equations, the critical condition for triggering a large lateral vibration can be obtained by solving the stability problem. The validity of the proposed method is confirmed, based on performing the case studies of two bridges. Meanwhile, through parameter analysis, the influences of several crucial parameters on the stability of vibration are discussed.

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Biomechanically inspired modelling of pedestrian-induced forces on laterally oscillating structures

Cited by 70 publications

References 41 publications

Dynamic Response of Girder Footbridges with Supplemental Damping

Dynamic Response of Girder Footbridges with Supplemental Damping

A Review of Human Induced Vibrations on Footbridges

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

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