Experimental identification of the lateral human–structure interaction mechanism and assessment of the inverted-pendulum biomechanical model

Carroll, S.P.; Owen, J.S.; Hussein, M.F.M.

doi:10.1016/j.jsv.2014.06.022

Cited by 41 publications

(23 citation statements)

References 15 publications

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“…Analyses of the experimental data gathered from the setup have allowed the adaptation of step width to be confirmed as the strategy for controlling stability while walking on laterally oscillating ground. Importantly, this result comes from walking tests unbiased by imposed treadmill speed, as was the case in previous similar tests reported by others [21], [22]. The adjustment of step width has been assumed to be the main strategy controlling stability of the inverted pendulum pedestrian model in the presence of lateral ground vibration, and the results of the current study give evidence supporting this assumption.…”

Section: Discussionsupporting

confidence: 89%

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

Bocian

Macdonald

Burn

et al. 2015

Engineering Structures

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HighlightsA novel setup for investigating pedestrian–structure interaction is presented.Foot-placement is the main balance control mechanism on laterally vibrating ground.All components of pedestrian force are uncovered, including self-excited forces.Inverted pendulum pedestrian model qualitatively captures the nature of forces.The ground and visual conditions cause significant changes in pedestrian loading.

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Section: Discussionsupporting

confidence: 89%

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

Bocian

Macdonald

Burn

et al. 2015

Engineering Structures

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“…The Macdonald model is an inverted pendulum model (IPM) rooted in the field of biomechanics, in which a stepping control law is adopted based on the instrumented treadmill test of Hof et al [27]. 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.…”

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

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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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“…e value of _ q(θ, t) should be determined firstly before solving equation (14). It is observed that there is no partial differential in terms of θ in equation (14).…”

Section: Establishing the Pde For Lateral Vibration Of Thementioning

confidence: 99%

“…e value of _ q(θ, t) should be determined firstly before solving equation (14). It is observed that there is no partial differential in terms of θ in equation (14). is means that for specific θ, equation 14can be solved by a deterministic numerical method (in this study, the finite difference method will be adopted, see Section 3.5).…”

Section: Establishing the Pde For Lateral Vibration Of Thementioning

confidence: 99%

“…Unlike other general models, this model insists that pedestrians maintain their comfort and balance by adjusting the position of the pace rather than the step frequency. 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.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

Yang

Jia

Yan

et al. 2019

Shock and Vibration

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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.

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Experimental identification of the lateral human–structure interaction mechanism and assessment of the inverted-pendulum biomechanical model

Cited by 41 publications

References 15 publications

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

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

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

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