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ID 51545
file
creator
NAKAZAWA, M.
subject
periodic symmetry
post-buckling analysis
multiple bifurcation
hill-top bifurcation
multi-folding microstructure
abstract
The classification of simple singularities in the post-buckling analysis of truss structures is well-known for elastic stability. To focus on multiple singularities including a hilltop bifurcation point (h-BP) and its bifurcation paths, we reviewed the multiple bifurcation analysis of multi-folding microstructure (MFM) models with periodic symmetry. Because the Jacobian at the h-BP of the MFM involves multiple 0-eigenvalues, it is challenging to analyse the bifurcation paths from the h-BP accurately. In this study, we investigated the multiple folding mechanism by analysing the neighbourhood of the h-BP and the symmetric subgroups of the geometric system in the two-dimensional plane and three-dimensional core of the MFM. We demonstrated that through the classification of multiple h-BP and bifurcation paths, it is possible to determine the unknown bifurcation equilibrium paths following h-BP, based on the Jacobian stability and the mechanism of symmetric subgroups in group theory containing the relationships between the primary path and the known bifurcation path(s) in the MFM system with periodic symmetry.
description
This research is indirectly supported by the Grant-in-Aid for Challenging Exploratory Research of the Japan Society for the Promotion of Science; KAKENHI Grant Number JP18K18888.
A part of this manuscript was presented at the conference of CMM 2019.
journal title
Archives of Mechanics
volume
Volume 72
issue
Issue 4
start page
283
end page
306
date of issued
2020-08-10
publisher
Institute of Fundamental Technological Research
issn
0373-2029
publisher doi
language
eng
nii type
Journal Article
HU type
Journal Articles
DCMI type
text
format
application/pdf
text version
publisher
rights
Copyright © 2020 by IPPT PAN, Warszawa
relation url
department
Graduate School of Advanced Science and Engineering



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