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Your search keyword '"generalized shifts"' showing total 2 results
Start Over Descriptor "generalized shifts" Topic boundary-value problem
2 results on '"generalized shifts"'

1. Solvability of geometrically nonlinear boundary-value problems for shallow shells of Timoshenko type with pivotally supported edges.

Author

Timergaliev, S., Uglov, A., and Kharasova, L.

Abstract

We study solvability of a geometrically nonlinear, physically linear boundary-value problems for elastic shallow homogeneous isotropic shells with pivotally supported edges in the framework of S. P. Timoshenko's shear model. The purpose of work is the proof of the theorem on existence of solutions. Research method consists in reducing the original system of equilibrium equations to one nonlinear differential equation for the deflection. The method is based on integral representations for displacements, which are built with the help of the general solutions of the nonhomogeneous Cauchy-Riemann equation. The solvability of equation relative to deflection is established with the use of principle of contraction mappings. [ABSTRACT FROM AUTHOR]

Published
2015
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2. Solvability of geometrically nonlinear boundary-value problems for shallow shells of Timoshenko type with pivotally supported edges

Author

Timergaliev S., Uglov A., and Kharasova L.

Subjects
integral equations, equilibrium equations system, generalized problem solution, integral images, Timoshenko type shell, Sobolev spaces, operator, holomorphic functions existence theorem, generalized shifts, boundary-value problem
Abstract

© 2015, Allerton Press, Inc. We study solvability of a geometrically nonlinear, physically linear boundary-value problems for elastic shallow homogeneous isotropic shells with pivotally supported edges in the framework of S. P. Timoshenko’s shear model. The purpose of work is the proof of the theorem on existence of solutions. Research method consists in reducing the original system of equilibrium equations to one nonlinear differential equation for the deflection. The method is based on integral representations for displacements, which are built with the help of the general solutions of the nonhomogeneous Cauchy-Riemann equation. The solvability of equation relative to deflection is established with the use of principle of contraction mappings.

Published
2015

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