On the Existence of Solutions of Nonlinear Boundary Value Problems for Nonshallow Timoshenko-Type Shells with Free Edges

被引：0
|
作者：
Timergaliev S.N. [1 ]
机构：
[1] Kazan State University of Architecture and Engineering, Kazan
来源：
Journal of Applied and Industrial Mathematics | 2023年 / 17卷 / 04期
基金：
俄罗斯科学基金会;
关键词：
existence theorem; generalized solution; holomorphic function; nonlinear boundary value problem; nonshallow Timoshenko-type shell of zero Gaussian curvature; operator equation; partial differential equations;
D O I：
10.1134/S1990478923040154
中图分类号：
学科分类号：
摘要：
Abstract: We study the existence of solutions of a boundary value problem for a system of nonlinearsecond-order partial differential equations for the generalized displacements under given nonlinearboundary conditions that describes the equilibrium state of elastic nonshallow isotropicinhomogeneous shells of zero Gaussian curvature with free edges in the framework of theTimoshenko shear model. The research method is based on integral representations for generalizeddisplacements containing arbitrary functions that allow the original boundary value problem to bereduced to a nonlinear operator equation for generalized displacements in the Sobolev space. Thesolvability of the operator equation is established using the contraction mapping principle. © Pleiades Publishing, Ltd. 2023.
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页码：874 / 891
页数：17
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