Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
The effect of axisymmetric imperfections of the form on the bifurcation point of the axisymmetric equilibrium of a thin shell of revolution under the compound loading. / Tovstik, P. E.; Chernyaev, S. P.
в: Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya, № 1, 2002, стр. 93-100.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - The effect of axisymmetric imperfections of the form on the bifurcation point of the axisymmetric equilibrium of a thin shell of revolution under the compound loading
AU - Tovstik, P. E.
AU - Chernyaev, S. P.
PY - 2002
Y1 - 2002
N2 - The influence of axisymmetric localized imperfections of the middle surface (dents) on the stability of the axisymmetric membrane equilibrium of a thin shell of revolution is considered. Bifurcation to the nonaxisymmetric equilibrium form is researched. Under the assumption, that the loss of stability is localized in dent neighborhood, the asymptotic formulae for the critical load sensitivity to localized axisymmetric dents are obtained. The dependence of the imperfections sensitivity to the relation between shell curvature and initial membrane stresses is studied. Comparison of asymptotic and of the numerical results is carried out.
AB - The influence of axisymmetric localized imperfections of the middle surface (dents) on the stability of the axisymmetric membrane equilibrium of a thin shell of revolution is considered. Bifurcation to the nonaxisymmetric equilibrium form is researched. Under the assumption, that the loss of stability is localized in dent neighborhood, the asymptotic formulae for the critical load sensitivity to localized axisymmetric dents are obtained. The dependence of the imperfections sensitivity to the relation between shell curvature and initial membrane stresses is studied. Comparison of asymptotic and of the numerical results is carried out.
UR - http://www.scopus.com/inward/record.url?scp=0036914886&partnerID=8YFLogxK
M3 - статья
AN - SCOPUS:0036914886
SP - 93
EP - 100
JO - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ
JF - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ
SN - 1025-3106
IS - 1
ER -
ID: 9286269