Unsymmetrical buckling of nonuniform circular plates withelastically restrained edge andsubjected to normal pressure is studied in this paper. The asymmetric part of the solutionis sought in terms of multiples of the harmonics of the angular coordinate. A numericalmethod is employed to obtain the lowest load value at which waves in the circumferentialdirection can appear. The effect of material heterogeneity and boundary on the bucklingload is examined. For a plate with elastically restrained edge, the buckling pressure andmode number increase with a rise of spring stiffness. Increasing of the elasticity modulusto the plate edge leads to increasing of the buckling pressure, but the mode number doesnot change. If the translational flexibility coefficient is small, decreasing of the elasticitymodulus to the shell (plate) edge leads to sufficient loweringof the buckling pressure.Keywords: circular plate, buckling, heterogeneity.
Translated title of the contributionOn non-axisymmetric buckling modes of inhomogeneous circular plates
Original languageRussian
Pages (from-to)204-211
JournalВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ
Volume8
Issue number2
StatePublished - 2021

ID: 87762690