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Bifurcation modes in the limit of zero thickness of axially compressed circular cylindrical shell

Authors
Kwon, Y
Issue Date
Jan-2000
Publisher
KOREAN SOC MECHANICAL ENGINEERS
Keywords
strain energy density function; storen-rice hypoelastic material; characteristic equation; multiple scales asymptotic technique; bifurcation modes
Citation
KSME INTERNATIONAL JOURNAL, v.14, no.1, pp.39 - 47
Journal Title
KSME INTERNATIONAL JOURNAL
Volume
14
Number
1
Start Page
39
End Page
47
URI
https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/27402
DOI
10.1007/BF03184769
ISSN
1226-4865
Abstract
Bifurcation intability modes of axially compressed circular cylindrical shell are investigated in the limit of zero thickness (i.e., h (thickness) --> 0) analytically, adopting the general stability theory developed by Triantafyllidis and Kwon(1987) and Kwon(1992). The primary state of the shell is obtained in a closed form using the asymptotic technique, and then the straightforward bifurcation analysis is followed according to the general stability theory to obtain the bifurcation modes in the limit of zero thickness in a full analytical manner. Hence, the closed form bifurcation solution is obtained. Finally, the result is compared with the classical one.
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