IJPAM: Volume 113, No. 1 (2017)

Title

THE ANALYTICAL SOLUTION OF THE PROBLEM
OF THE PURE BEND FOR SHELL MODEL OF
THE THIN-WALLED BEAM WITH
RECTANGULAR CROSS SECTION

Authors

Ilya V. Kudryavtsev$^1$, Olga B. Gotseluk$^{2}$,
Aleksandr E. Mityaev$^{3}$, Vadim G. Demin$^{4}$
$^{1,2,3,4}$Siberian Federal University
Krasnoyarsk, RUSSIAN FEDERATION

Abstract

The method of obtaining the private analytical solution of system of the nonlinear differential equations in private derivatives for calculation the stress state thin-walled beams with rectangular cross section is offered. With use of the semi-return method of Saint-Venant the analytical solution which will be agreed with known to the expressions received on dependences of the theory of plates and shells is constructed.

The comparative analysis of results received by finite elements method in Ansys and the offered method showed good convergence, allowed to reveal features of a stress state of beams at pure bend, and also to specify scopes of various types of finite elements.

History

Received: December 27, 2016
Revised: January 29, 2017
Published: February 28, 2017

AMS Classification, Key Words

AMS Subject Classification: 60Kxx, 81Sxx
Key Words and Phrases: beam, not axisymmetric cross section, thin-walled elements, plate, stress and deformed state, partial differential equation, method, semi-return method of Saint-Venant, analytical solution

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How to Cite?

DOI: 10.12732/ijpam.v113i1.14 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 113
Issue: 1
Pages: 151 - 165


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