Experimental identification of the behaviour of and lateral forces from freely-walking pedestrians on laterally oscillating structures in a virtual reality environment

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

doi:10.1016/j.engstruct.2015.09.043

Cited by 32 publications

(21 citation statements)

References 28 publications

(53 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Recently, under the IPM framework proposed by Macdonald, Carroll et al [28,29] rebuilt the experimental setup developed by Pizzimenti and Ricciardelli [22] and then utilized 3D motion capture equipment to analyze the features of the self-excited force caused by humanstructure interaction. Similarly, Bocian et al [30] conducted a treadmill test based on the IPM framework by using an interactive virtual reality technology to avoid the implications of artificiality and allow for unconstrained gait in the laboratory environment. The main conclusions obtained from the laboratory tests are as follows: the velocity proportional load (or the equivalent negative damping) could be generated even though pedestrian lateral walking frequency differs from that of the bridge (i.e., synchronization is not necessary for a large vibration of footbridge); and the large vibration will be triggered when the equivalent negative damping is equal to the inherent bridge damping.…”

Section: Discussionmentioning

confidence: 99%

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

Jia

Yan

et al. 2017

Mathematical Problems in Engineering

View full text Add to dashboard Cite

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.

show abstract

Section: Discussionmentioning

confidence: 99%

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

Jia

Yan

et al. 2017

Mathematical Problems in Engineering

View full text Add to dashboard Cite

show abstract

“…Once these discrete representative points have been determined, the velocity process of _ q(θ, t) can be obtained by the deterministic solution of equation (7). Afterwards, p i (q, θ i , t) can also be obtained according to equation (14), and equation (16) will be changed to…”

Section: Establishing the Pde For Lateral Vibration Of Thementioning

confidence: 99%

“…Recently, on the basis of the inverted pendulum model proposed by Macdonald, Carroll et al [13,14] repeated the treadmill experiment of Ricciardelli and Pizzimenti [15] by using a 3D human motion capture technology and analyzed the pedestrian selfexcitation characteristics caused by the pedestrian-structure interaction. Similarly, Bocian et al [16], also based on the inverted pendulum model, carried out an experiment of pedestrian walking on the treadmill. e experiment was characterized by using a virtual reality simulation technology to reproduce the actual surrounding environment of pedestrians walking to reduce the influence of indoor environment on pedestrian.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Stochastic Analysis of Footbridge Lateral Vibration Based on Probability Density Evolution Method

Yang

Jia

Yan

et al. 2019

Shock and Vibration

View full text Add to dashboard Cite

Footbridge lateral vibration remains an unsolved problem and is characterized by the following: (1) pedestrians are sensitive to bridge vibration, which causes the pedestrian’s excitation being dependent on the bridge vibration; (2) pedestrian lateral excitation is a stochastic process rather than a perfect periodic load. Therefore, footbridge lateral vibration is essentially a complex nonlinear stochastic vibration system. Thus far, an effective method of dealing with such nonlinear stochastic vibration of footbridges remains lacking. A framework based on the probability density evolution (PDE) method is presented. For the mathematical model, the parameter resonance model is used to describe the pedestrian-bridge interaction while treating the pedestrian lateral excitation as a narrow-band process. For the analysis method, PDE is used to solve the nonlinear stochastic equations in combination with the number theoretical and finite difference methods. The proposed method establishes a new approach in studying footbridge lateral vibration. First, PDE based on the small sample strategy avoids the large amount of computation. Second, the randomness of both structural parameters and pedestrian lateral excitation could be taken into consideration by the proposed method. Third, based on the probability results with rich information, the serviceability, dynamic reliability, and random stability analyses are realized in a convenient manner.

show abstract

“…e key reasons for this are (1) the lack of adequate and accurate design procedures in contemporary design guidelines [6], (2) a lack of appreciation of the importance of vibration serviceability design dominance relative to other design parameters, such as strength and deflections, (3) the lack of a probabilistic modelling strategy to account for variability of excitation source and hence representative footfall loading model [7], and (4) the lack of appropriate assessment criteria for subjective human perception [6,8]. ese, by nature, lead to a major challenge in modern floor design, whereby the prediction of vibration responses under human-induced footfall remains demanding and uncertain [9].…”

Section: Introductionmentioning

confidence: 99%

Probabilistic Multiple Pedestrian Walking Force Model including Pedestrian Inter‐ and Intrasubject Variabilities

Muhammad

Reynolds

2020

Advances in Civil Engineering

View full text Add to dashboard Cite

A probabilistic walking load model that accounts for inter- and intrasubject variabilities has been developed to generate synthetic vertical load waveforms induced by pedestrians. The mathematical model is based on a comprehensive database of continuously recorded pedestrian walking forces on an instrumented treadmill, having a wide range of walking frequencies. The proposed model is able to replicate temporal and spectral features of real walking forces, which is a significant advantage over conventional Fourier series models. The load model results in more realistic force time histories than previous models, since it incorporates significant components of the spectra that are omitted in Fourier series approaches. The proposed mathematical model can be implemented in vibration serviceability assessment of civil engineering structures, such as building floors and footbridges, to estimate more realistically dynamic structural responses due to people walking.

show abstract

Experimental identification of the behaviour of and lateral forces from freely-walking pedestrians on laterally oscillating structures in a virtual reality environment

Cited by 32 publications

References 28 publications

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

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

Nonlinear Stochastic Analysis of Footbridge Lateral Vibration Based on Probability Density Evolution Method

Probabilistic Multiple Pedestrian Walking Force Model including Pedestrian Inter‐ and Intrasubject Variabilities

Contact Info

Product

Resources

About