This article is cited in 1 paper

Nonlinear spatial bending of shear-deformable curvilinear rods

S. V. Levyakov

Novosibirsk State Technical University, Novosibirsk, 630092, Russia

Abstract: A finite element is proposed for analyzing nonlinear deformation and stability of three-dimensional rods at arbitrarily large elastic displacements. Timoshenko’s model is used for taking transverse shear strains into account. The accuracy and convergence of numerical solutions are studied by an example of problems of nonlinear bending of curvilinear rods.

Keywords: three-dimensional rod, geometric nonlinearity, transverse shear strain, finite element.

UDC: 539.3

Received: 11.04.2011
Accepted: 21.07.2011

 English version: Journal of Applied Mechanics and Technical Physics, 2012, 53:2, 258–265

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