Geodesic
Axisymmetric problem for inhomogeneous conical shell
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2012), pp. 74-91

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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. 
@article{VSGTU_2012_1_a7,
     author = {Yu. \`E. Senitskiy},
     title = {Axisymmetric problem for inhomogeneous conical shell},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {74--91},
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     number = {1},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2012_1_a7/}
}
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Yu. È. Senitskiy. Axisymmetric problem for inhomogeneous conical shell. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2012), pp. 74-91. http://geodesic.mathdoc.fr/item/VSGTU_2012_1_a7/