Estimation method of support reaction on face sheet of sandwich panel by inverse analysis of deformed shape data

When local compressive load is vertically applied on the face sheet of the sandwich panel, the face sheet will be deflected and the core layer will be crushed at relatively low load. In order to evaluate the mechanical property of the sandwich panel subjected to the local compression, it is importan...

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Autores principales: Yoshinao KISHIMOTO, Yukiyoshi KOBAYASHI, Toshihisa OHTSUKA, Shin YAMAGATA
Formato: article
Lenguaje:EN
Publicado: The Japan Society of Mechanical Engineers 2016
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Acceso en línea:https://doaj.org/article/124e5d83a1804464a09cd9f4507d331c
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spelling oai:doaj.org-article:124e5d83a1804464a09cd9f4507d331c2021-11-26T06:53:45ZEstimation method of support reaction on face sheet of sandwich panel by inverse analysis of deformed shape data2187-974510.1299/mej.15-00597https://doaj.org/article/124e5d83a1804464a09cd9f4507d331c2016-01-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/3/4/3_15-00597/_pdf/-char/enhttps://doaj.org/toc/2187-9745When local compressive load is vertically applied on the face sheet of the sandwich panel, the face sheet will be deflected and the core layer will be crushed at relatively low load. In order to evaluate the mechanical property of the sandwich panel subjected to the local compression, it is important to estimate the reaction on the face sheet supported by the core layer. However it is difficult to directly measure the support reaction because the core layer has been crushed. This paper describes a novel method to estimate the support reaction on the face sheet of the sandwich panel by inverse analysis of the deformed shape data of the face sheet. In this method, the finite element method based on strain increment theory is applied to the face sheet using the measured deflection of the face sheet as the boundary condition. Then it estimates the nodal load of the finite element model of the face sheet that is equivalent to the support reaction by the Tikhonov regularization. In order to demonstrate the validity of the proposed method, numerical simulations have been performed. In the numerical simulations, the several support conditions of the face sheet were given in advance. Then the direct analysis was applied to obtain the correct support reaction and the deformed shape of the face sheet in each condition. The inverse analysis was applied on the simulation data of the deformed shape to estimate the support reaction. The results show that the support reaction estimated by the proposed method has good agreement with the correct value. Moreover, it is concluded that the proposed method requires the location of the support point as a priori information.Yoshinao KISHIMOTOYukiyoshi KOBAYASHIToshihisa OHTSUKAShin YAMAGATAThe Japan Society of Mechanical Engineersarticleinverse problemfinite element methodsandwich panellaminated constructionshell structurestructural mechanicsdeformation characteristicsmaterials and structure diagnosisMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 3, Iss 4, Pp 15-00597-15-00597 (2016)
institution DOAJ
collection DOAJ
language EN
topic inverse problem
finite element method
sandwich panel
laminated construction
shell structure
structural mechanics
deformation characteristics
materials and structure diagnosis
Mechanical engineering and machinery
TJ1-1570
spellingShingle inverse problem
finite element method
sandwich panel
laminated construction
shell structure
structural mechanics
deformation characteristics
materials and structure diagnosis
Mechanical engineering and machinery
TJ1-1570
Yoshinao KISHIMOTO
Yukiyoshi KOBAYASHI
Toshihisa OHTSUKA
Shin YAMAGATA
Estimation method of support reaction on face sheet of sandwich panel by inverse analysis of deformed shape data
description When local compressive load is vertically applied on the face sheet of the sandwich panel, the face sheet will be deflected and the core layer will be crushed at relatively low load. In order to evaluate the mechanical property of the sandwich panel subjected to the local compression, it is important to estimate the reaction on the face sheet supported by the core layer. However it is difficult to directly measure the support reaction because the core layer has been crushed. This paper describes a novel method to estimate the support reaction on the face sheet of the sandwich panel by inverse analysis of the deformed shape data of the face sheet. In this method, the finite element method based on strain increment theory is applied to the face sheet using the measured deflection of the face sheet as the boundary condition. Then it estimates the nodal load of the finite element model of the face sheet that is equivalent to the support reaction by the Tikhonov regularization. In order to demonstrate the validity of the proposed method, numerical simulations have been performed. In the numerical simulations, the several support conditions of the face sheet were given in advance. Then the direct analysis was applied to obtain the correct support reaction and the deformed shape of the face sheet in each condition. The inverse analysis was applied on the simulation data of the deformed shape to estimate the support reaction. The results show that the support reaction estimated by the proposed method has good agreement with the correct value. Moreover, it is concluded that the proposed method requires the location of the support point as a priori information.
format article
author Yoshinao KISHIMOTO
Yukiyoshi KOBAYASHI
Toshihisa OHTSUKA
Shin YAMAGATA
author_facet Yoshinao KISHIMOTO
Yukiyoshi KOBAYASHI
Toshihisa OHTSUKA
Shin YAMAGATA
author_sort Yoshinao KISHIMOTO
title Estimation method of support reaction on face sheet of sandwich panel by inverse analysis of deformed shape data
title_short Estimation method of support reaction on face sheet of sandwich panel by inverse analysis of deformed shape data
title_full Estimation method of support reaction on face sheet of sandwich panel by inverse analysis of deformed shape data
title_fullStr Estimation method of support reaction on face sheet of sandwich panel by inverse analysis of deformed shape data
title_full_unstemmed Estimation method of support reaction on face sheet of sandwich panel by inverse analysis of deformed shape data
title_sort estimation method of support reaction on face sheet of sandwich panel by inverse analysis of deformed shape data
publisher The Japan Society of Mechanical Engineers
publishDate 2016
url https://doaj.org/article/124e5d83a1804464a09cd9f4507d331c
work_keys_str_mv AT yoshinaokishimoto estimationmethodofsupportreactiononfacesheetofsandwichpanelbyinverseanalysisofdeformedshapedata
AT yukiyoshikobayashi estimationmethodofsupportreactiononfacesheetofsandwichpanelbyinverseanalysisofdeformedshapedata
AT toshihisaohtsuka estimationmethodofsupportreactiononfacesheetofsandwichpanelbyinverseanalysisofdeformedshapedata
AT shinyamagata estimationmethodofsupportreactiononfacesheetofsandwichpanelbyinverseanalysisofdeformedshapedata
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