A Statistical Approach for Modeling Individual Vertical Walking Forces

This paper proposes a statistical approach for modeling vertical walking forces induced by single pedestrians. To account for the random nature of human walking, the individual vertical walking force is modeled as a series of steps and the gait parameters are assumed to vary at each step. Walking pa...

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Autores principales: Fabrizio Pancaldi, Elisa Bassoli, Massimo Milani, Loris Vincenzi
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Lenguaje:EN
Publicado: MDPI AG 2021
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spelling oai:doaj.org-article:75e2e55527ed4e238c0cd59777267ced2021-11-11T15:15:44ZA Statistical Approach for Modeling Individual Vertical Walking Forces10.3390/app1121102072076-3417https://doaj.org/article/75e2e55527ed4e238c0cd59777267ced2021-10-01T00:00:00Zhttps://www.mdpi.com/2076-3417/11/21/10207https://doaj.org/toc/2076-3417This paper proposes a statistical approach for modeling vertical walking forces induced by single pedestrians. To account for the random nature of human walking, the individual vertical walking force is modeled as a series of steps and the gait parameters are assumed to vary at each step. Walking parameters are statistically calibrated with respect to the results of experimental tests performed with a force plate system. Results showed that the walking parameters change during walking and are correlated with each other. The force model proposed in this paper is a step-by-step model based on the description of the multivariate distribution of the walking features through a Gaussian Mixture model. The performance of the proposed model is compared to that of a simplified load model and of two force models proposed in the literature in a numerical case study. Results demonstrate the importance of an accurate modeling of both the single step force and the variability of the individual walking force.Fabrizio PancaldiElisa BassoliMassimo MilaniLoris VincenziMDPI AGarticlestatistical load modelpedestriansvertical vibrationsfootbridgesGaussian MixtureTechnologyTEngineering (General). Civil engineering (General)TA1-2040Biology (General)QH301-705.5PhysicsQC1-999ChemistryQD1-999ENApplied Sciences, Vol 11, Iss 10207, p 10207 (2021)
institution DOAJ
collection DOAJ
language EN
topic statistical load model
pedestrians
vertical vibrations
footbridges
Gaussian Mixture
Technology
T
Engineering (General). Civil engineering (General)
TA1-2040
Biology (General)
QH301-705.5
Physics
QC1-999
Chemistry
QD1-999
spellingShingle statistical load model
pedestrians
vertical vibrations
footbridges
Gaussian Mixture
Technology
T
Engineering (General). Civil engineering (General)
TA1-2040
Biology (General)
QH301-705.5
Physics
QC1-999
Chemistry
QD1-999
Fabrizio Pancaldi
Elisa Bassoli
Massimo Milani
Loris Vincenzi
A Statistical Approach for Modeling Individual Vertical Walking Forces
description This paper proposes a statistical approach for modeling vertical walking forces induced by single pedestrians. To account for the random nature of human walking, the individual vertical walking force is modeled as a series of steps and the gait parameters are assumed to vary at each step. Walking parameters are statistically calibrated with respect to the results of experimental tests performed with a force plate system. Results showed that the walking parameters change during walking and are correlated with each other. The force model proposed in this paper is a step-by-step model based on the description of the multivariate distribution of the walking features through a Gaussian Mixture model. The performance of the proposed model is compared to that of a simplified load model and of two force models proposed in the literature in a numerical case study. Results demonstrate the importance of an accurate modeling of both the single step force and the variability of the individual walking force.
format article
author Fabrizio Pancaldi
Elisa Bassoli
Massimo Milani
Loris Vincenzi
author_facet Fabrizio Pancaldi
Elisa Bassoli
Massimo Milani
Loris Vincenzi
author_sort Fabrizio Pancaldi
title A Statistical Approach for Modeling Individual Vertical Walking Forces
title_short A Statistical Approach for Modeling Individual Vertical Walking Forces
title_full A Statistical Approach for Modeling Individual Vertical Walking Forces
title_fullStr A Statistical Approach for Modeling Individual Vertical Walking Forces
title_full_unstemmed A Statistical Approach for Modeling Individual Vertical Walking Forces
title_sort statistical approach for modeling individual vertical walking forces
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/75e2e55527ed4e238c0cd59777267ced
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AT lorisvincenzi astatisticalapproachformodelingindividualverticalwalkingforces
AT fabriziopancaldi statisticalapproachformodelingindividualverticalwalkingforces
AT elisabassoli statisticalapproachformodelingindividualverticalwalkingforces
AT massimomilani statisticalapproachformodelingindividualverticalwalkingforces
AT lorisvincenzi statisticalapproachformodelingindividualverticalwalkingforces
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