Large Deflections of Beams, Arches and Panels in an Elastic Medium with Regard to Deformation Shifts


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Abstract

The supercritical bending of arches in an elastic medium loaded with a lateral distributed load or concentrated force, including arches obtained by pre-bending by means of compressing a beam, is investigated. A resolving nonlinear equation is obtained, its analytical solution and numerical solutions are given.

About the authors

I. Z. Mukhamedova

Kazan State University of Architecture and Engineering Institute of Building

Email: faritbox@mail.ru
Russian Federation, ul. Zelenaya 1, Kazan, 420043

R. A. Kayumov

Kazan State University of Architecture and Engineering Institute of Building; Institute of Aviation, Land Vehicles and Energetics

Author for correspondence.
Email: kayumov@rambler.ru
Russian Federation, ul. Zelenaya 1, Kazan, 420043; ul. K. Marksa 10, Kazan, 420111

B. F. Tazyukov

Institute of Computational Mathematics and Information Technologies

Email: faritbox@mail.ru
Russian Federation, ul. Kremlyovskaya 35, Kazan, 420008

F. R. Shakirzyanov

Kazan State University of Architecture and Engineering Institute of Building

Author for correspondence.
Email: faritbox@mail.ru
Russian Federation, ul. Zelenaya 1, Kazan, 420043


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