Developing a three-dimensional numerical foot model and identifying the loading condition for designing a stable sole for running shoes

This study presents methods to develop a three-dimensional numerical foot model and to identify the loading condition that is used to design a stable sole for running shoes. In a previous study, the authors proposed a method to optimize the shape of the sole to increase stability while maintaining t...

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Main Authors: Mai NONOGAWA, Seigo NAKAYA, Masashi ISOBE, Kenzen TAKEUCHI, Hideyuki AZEGAMI
Format: Article
Language:English
Published: The Japan Society of Mechanical Engineers 2021-09-01
Series:Mechanical Engineering Journal
Subjects:
Online Access:https://www.jstage.jst.go.jp/article/mej/8/5/8_21-00200/_pdf/-char/en
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author Mai NONOGAWA
Seigo NAKAYA
Masashi ISOBE
Kenzen TAKEUCHI
Hideyuki AZEGAMI
author_facet Mai NONOGAWA
Seigo NAKAYA
Masashi ISOBE
Kenzen TAKEUCHI
Hideyuki AZEGAMI
author_sort Mai NONOGAWA
collection DOAJ
description This study presents methods to develop a three-dimensional numerical foot model and to identify the loading condition that is used to design a stable sole for running shoes. In a previous study, the authors proposed a method to optimize the shape of the sole to increase stability while maintaining the cushioning property. In the problem formulation, the loading condition was given as a boundary force distributed on the top surface of the sole. The aim of this study is to replace the loading condition with the force and moment at the origin of the ankle joint coordinate (AJC) system by modeling a foot with a finite element model. A finite element model of a foot is constructed using X-ray CT image data, and consists of bony structures, soft tissue, and plantar fascia. The plantar fascia is set at the bottom of the bony structures. The force and moment used in the finite element analysis are identified by inverse dynamic analysis using an experimental measurement in the practical operation of the ground reaction force (GRF) when the GRF in the direction of the foot length becomes minimum. In the finite element analysis, the finite deformation containing the contact condition between the bottom surface of the foot and the ground representing a sole made of resin is considered. For an index of the shoe stability, we define a heel eversion angle (HEA) by the rotational angle of the heel with respect to an axis in the foot length direction and evaluate it by finite element analysis. The validity of the finite element foot model as well as the force and moment obtained in this study are confirmed based on the agreement in the HEA results between the experiment and finite element analysis.
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spelling doaj.art-e2afa21be85245aa847512881c92fc682022-12-22T04:38:04ZengThe Japan Society of Mechanical EngineersMechanical Engineering Journal2187-97452021-09-018521-0020021-0020010.1299/mej.21-00200mejDeveloping a three-dimensional numerical foot model and identifying the loading condition for designing a stable sole for running shoesMai NONOGAWA0Seigo NAKAYA1Masashi ISOBE2Kenzen TAKEUCHI3Hideyuki AZEGAMI4ASICS CorporationASICS CorporationASICS CorporationFaculty of Engineering and Design, Kagawa UniversityGraduate School of Informatics, Nagoya UniversityThis study presents methods to develop a three-dimensional numerical foot model and to identify the loading condition that is used to design a stable sole for running shoes. In a previous study, the authors proposed a method to optimize the shape of the sole to increase stability while maintaining the cushioning property. In the problem formulation, the loading condition was given as a boundary force distributed on the top surface of the sole. The aim of this study is to replace the loading condition with the force and moment at the origin of the ankle joint coordinate (AJC) system by modeling a foot with a finite element model. A finite element model of a foot is constructed using X-ray CT image data, and consists of bony structures, soft tissue, and plantar fascia. The plantar fascia is set at the bottom of the bony structures. The force and moment used in the finite element analysis are identified by inverse dynamic analysis using an experimental measurement in the practical operation of the ground reaction force (GRF) when the GRF in the direction of the foot length becomes minimum. In the finite element analysis, the finite deformation containing the contact condition between the bottom surface of the foot and the ground representing a sole made of resin is considered. For an index of the shoe stability, we define a heel eversion angle (HEA) by the rotational angle of the heel with respect to an axis in the foot length direction and evaluate it by finite element analysis. The validity of the finite element foot model as well as the force and moment obtained in this study are confirmed based on the agreement in the HEA results between the experiment and finite element analysis.https://www.jstage.jst.go.jp/article/mej/8/5/8_21-00200/_pdf/-char/enfoot modelrunningshoefinite element analysisinverse dynamic analysis
spellingShingle Mai NONOGAWA
Seigo NAKAYA
Masashi ISOBE
Kenzen TAKEUCHI
Hideyuki AZEGAMI
Developing a three-dimensional numerical foot model and identifying the loading condition for designing a stable sole for running shoes
Mechanical Engineering Journal
foot model
running
shoe
finite element analysis
inverse dynamic analysis
title Developing a three-dimensional numerical foot model and identifying the loading condition for designing a stable sole for running shoes
title_full Developing a three-dimensional numerical foot model and identifying the loading condition for designing a stable sole for running shoes
title_fullStr Developing a three-dimensional numerical foot model and identifying the loading condition for designing a stable sole for running shoes
title_full_unstemmed Developing a three-dimensional numerical foot model and identifying the loading condition for designing a stable sole for running shoes
title_short Developing a three-dimensional numerical foot model and identifying the loading condition for designing a stable sole for running shoes
title_sort developing a three dimensional numerical foot model and identifying the loading condition for designing a stable sole for running shoes
topic foot model
running
shoe
finite element analysis
inverse dynamic analysis
url https://www.jstage.jst.go.jp/article/mej/8/5/8_21-00200/_pdf/-char/en
work_keys_str_mv AT mainonogawa developingathreedimensionalnumericalfootmodelandidentifyingtheloadingconditionfordesigningastablesoleforrunningshoes
AT seigonakaya developingathreedimensionalnumericalfootmodelandidentifyingtheloadingconditionfordesigningastablesoleforrunningshoes
AT masashiisobe developingathreedimensionalnumericalfootmodelandidentifyingtheloadingconditionfordesigningastablesoleforrunningshoes
AT kenzentakeuchi developingathreedimensionalnumericalfootmodelandidentifyingtheloadingconditionfordesigningastablesoleforrunningshoes
AT hideyukiazegami developingathreedimensionalnumericalfootmodelandidentifyingtheloadingconditionfordesigningastablesoleforrunningshoes