Proposition of an energy density topology change method for plural eigen frequencies control

It has not been solved that the fruits and vegetables such as strawberries, cells, blood and a bottle of sake are damaged, broken during transportation. It is the greatest factor in this situation that there is a dangerous vibration frequency range where these are easy to scratch and are prone to de...

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Main Authors: Toshie SASAKI, Ichiro HAGIWARA
Format: Article
Language:Japanese
Published: The Japan Society of Mechanical Engineers 2023-11-01
Series:Nihon Kikai Gakkai ronbunshu
Subjects:
Online Access:https://www.jstage.jst.go.jp/article/transjsme/89/927/89_23-00142/_pdf/-char/en
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author Toshie SASAKI
Ichiro HAGIWARA
author_facet Toshie SASAKI
Ichiro HAGIWARA
author_sort Toshie SASAKI
collection DOAJ
description It has not been solved that the fruits and vegetables such as strawberries, cells, blood and a bottle of sake are damaged, broken during transportation. It is the greatest factor in this situation that there is a dangerous vibration frequency range where these are easy to scratch and are prone to death. If there are eigen frequencies within this dangerous frequency range,it is good to be redesigned such that the eigen frequencies within this dangerous frequency range are moved out of the range. But it is difficult to apply the existing topology optimization methods using homogenization method or density method or thickness distribution method. As fundamental research, it is demonstrated the effectiveness of the proposed method based on the strain and kinetic energy density distributions of the targeted eigen modes for a flat plate compared to the conventional topology optimization method using thickness distribution as follows. (1) It is possible to control plural eigen frequencies by deciding interactively how the topology should be changed from the observation of kinetic and strain energy density distributions of the targeted eigen modes in a very short time compared to the conventional topology optimization method. (2) In the case of the proposed method, it is not necessary to get a new topology from the thickness or density distribution after the optimization results. (3) It can be checked the validity of the task set for the conventional topology optimization method by observing the strain and kinetic energy density distributions of the targeted eigen modes which are actively used in the proposed method.
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spelling doaj.art-aea38e65a94b41bba55ee8ce2feadeb92023-11-28T05:07:41ZjpnThe Japan Society of Mechanical EngineersNihon Kikai Gakkai ronbunshu2187-97612023-11-018992723-0014223-0014210.1299/transjsme.23-00142transjsmeProposition of an energy density topology change method for plural eigen frequencies controlToshie SASAKI0Ichiro HAGIWARA1Meiji Institute for Advanced Study of Mathematical Sciences, Meiji UniversityMeiji Institute for Advanced Study of Mathematical Sciences, Meiji UniversityIt has not been solved that the fruits and vegetables such as strawberries, cells, blood and a bottle of sake are damaged, broken during transportation. It is the greatest factor in this situation that there is a dangerous vibration frequency range where these are easy to scratch and are prone to death. If there are eigen frequencies within this dangerous frequency range,it is good to be redesigned such that the eigen frequencies within this dangerous frequency range are moved out of the range. But it is difficult to apply the existing topology optimization methods using homogenization method or density method or thickness distribution method. As fundamental research, it is demonstrated the effectiveness of the proposed method based on the strain and kinetic energy density distributions of the targeted eigen modes for a flat plate compared to the conventional topology optimization method using thickness distribution as follows. (1) It is possible to control plural eigen frequencies by deciding interactively how the topology should be changed from the observation of kinetic and strain energy density distributions of the targeted eigen modes in a very short time compared to the conventional topology optimization method. (2) In the case of the proposed method, it is not necessary to get a new topology from the thickness or density distribution after the optimization results. (3) It can be checked the validity of the task set for the conventional topology optimization method by observing the strain and kinetic energy density distributions of the targeted eigen modes which are actively used in the proposed method.https://www.jstage.jst.go.jp/article/transjsme/89/927/89_23-00142/_pdf/-char/enorigami engineeringpackaging boxeigen frequencytopology density optimization methodtopology optimization using thickness distributionindex of generalized eigen frequencieskinetic energy densitystrain energy density
spellingShingle Toshie SASAKI
Ichiro HAGIWARA
Proposition of an energy density topology change method for plural eigen frequencies control
Nihon Kikai Gakkai ronbunshu
origami engineering
packaging box
eigen frequency
topology density optimization method
topology optimization using thickness distribution
index of generalized eigen frequencies
kinetic energy density
strain energy density
title Proposition of an energy density topology change method for plural eigen frequencies control
title_full Proposition of an energy density topology change method for plural eigen frequencies control
title_fullStr Proposition of an energy density topology change method for plural eigen frequencies control
title_full_unstemmed Proposition of an energy density topology change method for plural eigen frequencies control
title_short Proposition of an energy density topology change method for plural eigen frequencies control
title_sort proposition of an energy density topology change method for plural eigen frequencies control
topic origami engineering
packaging box
eigen frequency
topology density optimization method
topology optimization using thickness distribution
index of generalized eigen frequencies
kinetic energy density
strain energy density
url https://www.jstage.jst.go.jp/article/transjsme/89/927/89_23-00142/_pdf/-char/en
work_keys_str_mv AT toshiesasaki propositionofanenergydensitytopologychangemethodforpluraleigenfrequenciescontrol
AT ichirohagiwara propositionofanenergydensitytopologychangemethodforpluraleigenfrequenciescontrol