Theoretical Derivation and Parameters Analysis of a Human-Structure Interaction System with the Bipedal Walking Model

Liang, Huiqi; Zhang, Zhiqiang; Wei, Peixing

doi:10.1155/2021/6683083

Cited by 8 publications

(3 citation statements)

References 22 publications

(38 reference statements)

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“…Jiménez-Alonso and Sáez [38] also described the measured natural frequency and damping ratio by normal distributions: N (2.76 Hz, 6%) and N (47%, 6%), respectively. In addition, an inverted pendulum model [39,40] and bipedal model [41,42] were also employed to account for HSI, which are not considered in the paper.…”

Section: Parameter Mean Value Covmentioning

confidence: 99%

Sensitivity Analysis for Pedestrian-Induced Vibration in Footbridges

et al. 2022

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This paper aims to provide a novel insight into the influence of uncertainties in system- and pedestrian-induced load parameters on the vibration response of footbridges. The study begins with a sensitivity analysis for the vertical vibration response of a representative footbridge to two loading cases: a single pedestrian and a crowd. Two methods are utilized: the Sobol’-based global sensitivity analysis method and the local sensitivity analysis method. Uncertainties in all model parameters (which include bridge and human body dynamics in a walking posture, as well as dynamic force generated by humans) are considered in stochastic response estimation. Parametric analysis is then performed to investigate the influence of the variation of the mean values of the bridge modal mass, damping ratio, and natural frequency on the results of global and local sensitivity analysis. Systematic comparison of the results of global and local sensitivity analysis is performed to identify their similarities and differences. It has been found that the sensitive parameters and their importance ranking strongly depend on bridge modal properties and loading scenarios (i.e., a single pedestrian or a crowd crossing). The damping ratio and natural frequency of the human body are found to be the only two insensitive parameters. Therefore, they could be treated as deterministic parameters in the stochastic estimation of human-induced vibration. Global sensitivity analysis is recommended as a choice for the sensitivity analysis of pedestrian-induced vibration of footbridges as it leads to more reliable results, owing to the advantage of characterizing model sensitivity over the entire input spaces.

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Section: Parameter Mean Value Covmentioning

confidence: 99%

Sensitivity Analysis for Pedestrian-Induced Vibration in Footbridges

et al. 2022

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“…Many researchers have applied quantity theory or other conservative theories to build differential equations to simulate and analyze nonlinear systems [1][2][3]. Human walking models derived mathematically are widely used in many engineering fields, such as gait analysis [4][5][6][7][8][9][10][11], human walking assistance [12,13], motion stability control of robots [14][15][16][17][18], and response prediction of civil structures induced by pedestrians [19][20][21]. A variety of kinetic models, both passive and active ones, are developed from nonlinear differential equations to study the kinetic phenomenon in human walking.…”

Section: Introductionmentioning

confidence: 99%

A Three-Dimensional Mass-Spring Walking Model Could Describe the Ground Reaction Forces

Liang

Xie

Zhang

et al. 2021

Mathematical Problems in Engineering

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The oscillatory behavior of the center of mass (CoM) and the ground reaction forces (GRFs) of walking people can be successfully explained by a 2D spring-loaded inverted pendulum (SLIP) model. However, the application of the 2D model is just restricted to a two-dimensional plane as the model fails to take the GRFs in the lateral direction into consideration. In this article, we simulated the gait cycle with a nonlinear dynamic model—a three-dimensional bipedal walking model—that compensated for defects in the 2D model. An experiment was conducted to compare the simulation results with the experimental data, which revealed that the experimental data of the ground reaction forces were in good agreement with the results of numerical simulation. A correlation analysis was also conducted between several initial dynamic parameters of the model. Through an examination of the impact of 3D dynamic parameters on the peaks of GRFs in three directions, we found that the 3D parameters had a major effect on the lateral GRFs. These findings demonstrate that the characteristics of human walking can be interpreted from a simple spring-damper system.

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“…When the vertical or horizontal frequency of the structure is close to the excitation frequency of the crowd activity, the crowd excitation will easily cause resonation of the structure, whose response may even exceed the tolerance limit of human comfort, which results in psychological panic among pedestrians [1]. The problem of human discomfort caused by structural vibrations is of increasing concern [2][3][4][5][6][7][8][9][10][11][12][13][14], and current design codes may underestimate the impacts of vibrations induced by pedestrians [15].…”

Section: Introductionmentioning

confidence: 99%

Identification of Dynamic Parameters of Pedestrian Walking Model Based on a Coupled Pedestrian–Structure System

et al. 2021

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As human occupancy has an enormous effect on the dynamics of light, flexible, large-span, low-damping structures, which are sensitive to human-induced vibrations, it is essential to investigate the effects of pedestrian–structure interaction. The single-degree-of-freedom (SDOF) mass–spring–damping (MSD) model, the simplest dynamical model that considers how pedestrian mass, stiffness and damping impact the dynamic properties of structures, is widely used in civil engineering. With field testing methods and the SDOF MSD model, this study obtained pedestrian dynamics parameters from measured data of the properties of both empty structures and structures with pedestrian occupancy. The parameters identification procedure involved individuals at four walking frequencies. Body frequency is positively correlated to the walking frequency, while a negative correlation is observed between the body damping ratio and the walking frequency. The test results further show a negative correlation between the pedestrian’s frequency and his/her weight, but no significant correlation exists between one’s damping ratio and weight. The findings provide a reference for structural vibration serviceability assessments that would consider pedestrian–structure interaction effects.

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Theoretical Derivation and Parameters Analysis of a Human-Structure Interaction System with the Bipedal Walking Model

Cited by 8 publications

References 22 publications

Sensitivity Analysis for Pedestrian-Induced Vibration in Footbridges

Sensitivity Analysis for Pedestrian-Induced Vibration in Footbridges

A Three-Dimensional Mass-Spring Walking Model Could Describe the Ground Reaction Forces

Identification of Dynamic Parameters of Pedestrian Walking Model Based on a Coupled Pedestrian–Structure System

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