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Mechanics of Solids
Axisymmetric problem for inhomogeneous conical shell
Yu. È. Senitskiy Samara State Academy of Architecture and Construction, Samara, Russia
(published under the terms of the Creative Commons Attribution 4.0 International License)
Abstract:
New analytical solution of the axisymmetric dynamic problem for circular conical shells with inhomogeneous thickness and finite shear rigidity was developed on the basis of improved theory by generalized method of finite integral transformations.
Arbitrary dynamic load for the shells with rigidly clamped edges is considered. Dissipative forces of viscous resistance are taken into account in the calculation. The stress state as well as dynamic characteristics of the shells depending on the degree of its heterogeneity is analyzed.
Keywords:
conical shell, inhomogeneous, improved theory, finite integral transformations, analytical solution, oscillation frequencies, oscillogram of moves.
Original article submitted 29/XII/2011 revision submitted – 20/I/2012
Citation:
Yu. È. Senitskiy, “Axisymmetric problem for inhomogeneous conical shell”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(26) (2012), 74–91
Linking options:
https://www.mathnet.ru/eng/vsgtu1032 https://www.mathnet.ru/eng/vsgtu/v126/p74
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