Research output: Contribution to journal › Article › peer-review
Bifurcation of the axially symmetric equilibrium of shells of revolution with regard for moment initial stresses. / Tovstik, P. E.
In: Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya, No. 3, 07.1995, p. 101-107.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Bifurcation of the axially symmetric equilibrium of shells of revolution with regard for moment initial stresses
AU - Tovstik, P. E.
PY - 1995/7
Y1 - 1995/7
N2 - The bifurcation of the axially symmetric equilibrium of shells of revolution with forming the hollows localized near the edge has been studied. The solving set of the first approximation equations with variable coefficients has been obtained. The analytical technique of building four solutions of this equation set has been proposed in the form of an exponential series. As an example the stability of a cylindrical shell under the eccentric compression has been considered. The critical values of the load parameters for this problem has been presented.
AB - The bifurcation of the axially symmetric equilibrium of shells of revolution with forming the hollows localized near the edge has been studied. The solving set of the first approximation equations with variable coefficients has been obtained. The analytical technique of building four solutions of this equation set has been proposed in the form of an exponential series. As an example the stability of a cylindrical shell under the eccentric compression has been considered. The critical values of the load parameters for this problem has been presented.
UR - http://www.scopus.com/inward/record.url?scp=0029338939&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0029338939
SP - 101
EP - 107
JO - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ
JF - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ
SN - 1025-3106
IS - 3
ER -
ID: 9284313