On the Existence of Solutions of Nonlinear Boundary Value Problems for Inhomogeneous Isotropic Shallow Shells of the Timoshenko Type with Free Edges

被引：1

作者：

Akhmadiev, M. G. ^{[1
]}

Timergaliev, S. N. ^{[2
]}

Uglov, A. N. ^{[3
]}

Yakushev, R. S. ^{[4
]}

机构：

[1] Kazan Natl Res Technol Univ, Kazan 420015, Tatarstan, Russia

[2] Kazan State Univ Architecture & Engn, Kazan 420043, Tatarstan, Russia

[3] Kazan Volga Reg Fed Univ, Naberezhnye Chelny Inst, Naberezhnye Chelny 423812, Tatarstan, Russia

[4] Kazan Volga Reg Fed Univ, Kazan 420008, Tatarstan, Russia

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2021年 / 42卷 / 01期

关键词：

nonlinear boundary value problem; inhomogeneous isotropic shell of Timoshenko type; equilibrium equations; generalized solution of a boundary value problem; holomorphic functions; integral of Cauchy type; integral equations; operator; existence theorem;

D O I：

10.1134/S1995080221010054

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper deals with the study of solvability to geometrically nonlinear boundary value problem for elastic inhomogeneous isotropic shallow shells with free edges within S. P. Timoshenko shear model. The problem is reduced to one nonlinear equation relative to deflection of shell in Sobolev space. Solvability of equation is proved with the use of contracting mappings principle.

引用

页码：30 / 43

页数：14

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