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JOURNALS // Vladikavkazskii Matematicheskii Zhurnal // Archive

Vladikavkaz. Mat. Zh., 2013 Volume 15, Number 3, Pages 45–53 (Mi vmj470)

This article is cited in 2 papers

Analysis of stress-strain state of the naturally twisted rod bending by transverse force on the basis of the finite element method

N. V. Kurbatovaa, Yu. A. Ustinovbc, E. S. Chumakovaa

a Southern Federal University, Rostov-on-Don, Russia
b South Mathematical Institute of VSC RAS, Vladikavkaz, Russia
c Southern Federal University, Rostov-on-Don, Russia

Abstract: Numeric solution based on homogeneous solutions method and numeric integration by finite element method of two-dimension boundary problems, which are described Saint-Venant's solutions on pure bending and bending by transverse force of the naturally twisted rod with rectangular cross-section was constructed. The analysis of stress-strain state of the rod was realized for different values of parameter $\tau_0$.

Key words: the Saint-Venant's problem, the naturally twisted rod, the pure bending and bending by transverse force, the finite element method.

UDC: 539.3

Received: 09.07.2012



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