High accurate analysis by experiment and simulation using Bayesian inference for corrugated cardboard

Corrugated cardboards are used in many fields. The design of corrugated cardboard, however, is based on experimentations. The subject of this paper is developing the technique for high accurate analysis of corrugated cardboards. The corrugated cardboard is complicated structures and its property is...

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Main Authors:	Masahiko SHIMAMURA, Yoshitaka EZAWA, Yoshiaki TAMURA, Satoru TAKASHIMIZU, Daisuke SATOU
Format:	article
Language:	EN
Published:	The Japan Society of Mechanical Engineers 2016
Subjects:	corrugated cardboard fineite element analysis data assimilation bayesian inference equivalent analysis Mechanical engineering and machinery TJ1-1570
Online Access:	https://doaj.org/article/7687749d6f7c4192a548926009a23c3a
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spelling	oai:doaj.org-article:7687749d6f7c4192a548926009a23c3a2021-11-26T06:53:45ZHigh accurate analysis by experiment and simulation using Bayesian inference for corrugated cardboard2187-974510.1299/mej.16-00072https://doaj.org/article/7687749d6f7c4192a548926009a23c3a2016-05-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/3/4/3_16-00072/_pdf/-char/enhttps://doaj.org/toc/2187-9745Corrugated cardboards are used in many fields. The design of corrugated cardboard, however, is based on experimentations. The subject of this paper is developing the technique for high accurate analysis of corrugated cardboards. The corrugated cardboard is complicated structures and its property is unknown. Therefore, it is difficult to analyze this structure. We did bending tests of corrugated cardboard and its homogenized analysis using finite elements. We estimated its property by comparing both results. The experimentations include a lot of variation because the sample varies widely. Therefore model verification and validation is necessary. We used Bayesian inference for this purpose. In Bayesian inference, a priori probability is important. We compared three a priori probabilities. The first one is a uniform distribution which means no a priori information. The second one is a normal distribution which indicates a priori information about ambiguous data of the property. The third one is a normal distribution of which mean is the exact property. It is not realistic to use the third one. Numerical results show a uniform distribution is useful for estimating the property. The variance of Bayesian inference using a uniform distribution is wide, but the mean value becomes exact value quickly. The numerical results show the validity of Bayesian inference.Masahiko SHIMAMURAYoshitaka EZAWAYoshiaki TAMURASatoru TAKASHIMIZUDaisuke SATOUThe Japan Society of Mechanical Engineersarticlecorrugated cardboardfineite element analysisdata assimilationbayesian inferenceequivalent analysisMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 3, Iss 4, Pp 16-00072-16-00072 (2016)
institution	DOAJ
collection	DOAJ
language	EN
topic	corrugated cardboard fineite element analysis data assimilation bayesian inference equivalent analysis Mechanical engineering and machinery TJ1-1570
spellingShingle	corrugated cardboard fineite element analysis data assimilation bayesian inference equivalent analysis Mechanical engineering and machinery TJ1-1570 Masahiko SHIMAMURA Yoshitaka EZAWA Yoshiaki TAMURA Satoru TAKASHIMIZU Daisuke SATOU High accurate analysis by experiment and simulation using Bayesian inference for corrugated cardboard
description	Corrugated cardboards are used in many fields. The design of corrugated cardboard, however, is based on experimentations. The subject of this paper is developing the technique for high accurate analysis of corrugated cardboards. The corrugated cardboard is complicated structures and its property is unknown. Therefore, it is difficult to analyze this structure. We did bending tests of corrugated cardboard and its homogenized analysis using finite elements. We estimated its property by comparing both results. The experimentations include a lot of variation because the sample varies widely. Therefore model verification and validation is necessary. We used Bayesian inference for this purpose. In Bayesian inference, a priori probability is important. We compared three a priori probabilities. The first one is a uniform distribution which means no a priori information. The second one is a normal distribution which indicates a priori information about ambiguous data of the property. The third one is a normal distribution of which mean is the exact property. It is not realistic to use the third one. Numerical results show a uniform distribution is useful for estimating the property. The variance of Bayesian inference using a uniform distribution is wide, but the mean value becomes exact value quickly. The numerical results show the validity of Bayesian inference.
format	article
author	Masahiko SHIMAMURA Yoshitaka EZAWA Yoshiaki TAMURA Satoru TAKASHIMIZU Daisuke SATOU
author_facet	Masahiko SHIMAMURA Yoshitaka EZAWA Yoshiaki TAMURA Satoru TAKASHIMIZU Daisuke SATOU
author_sort	Masahiko SHIMAMURA
title	High accurate analysis by experiment and simulation using Bayesian inference for corrugated cardboard
title_short	High accurate analysis by experiment and simulation using Bayesian inference for corrugated cardboard
title_full	High accurate analysis by experiment and simulation using Bayesian inference for corrugated cardboard
title_fullStr	High accurate analysis by experiment and simulation using Bayesian inference for corrugated cardboard
title_full_unstemmed	High accurate analysis by experiment and simulation using Bayesian inference for corrugated cardboard
title_sort	high accurate analysis by experiment and simulation using bayesian inference for corrugated cardboard
publisher	The Japan Society of Mechanical Engineers
publishDate	2016
url	https://doaj.org/article/7687749d6f7c4192a548926009a23c3a
work_keys_str_mv	AT masahikoshimamura highaccurateanalysisbyexperimentandsimulationusingbayesianinferenceforcorrugatedcardboard AT yoshitakaezawa highaccurateanalysisbyexperimentandsimulationusingbayesianinferenceforcorrugatedcardboard AT yoshiakitamura highaccurateanalysisbyexperimentandsimulationusingbayesianinferenceforcorrugatedcardboard AT satorutakashimizu highaccurateanalysisbyexperimentandsimulationusingbayesianinferenceforcorrugatedcardboard AT daisukesatou highaccurateanalysisbyexperimentandsimulationusingbayesianinferenceforcorrugatedcardboard
_version_	1718409726649171968

High accurate analysis by experiment and simulation using Bayesian inference for corrugated cardboard

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