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Teodorescu, P. P.; Toma, Ileana

On the nonlinear bending of a hyperstatic bar. (English) Zbl 0594.73018

Int. J. Eng. Sci. 24, 1257-1270 (1986).
Summary: A general analytical approach of the nonlinear bending of a linear elastic and isotropic hyperstatic straight bar of variable stiffness is indicated. The linear equivalence method, introduced by one of the authors [Meccanica 19, 52-60 (1984; Zbl 0559.73062)], is applied to a straight bar built-in at one end and simply supported at the other end. Some numerical examples concerning moderate deformations and rotations are presented and comparison with the corresponding linear treatment is made.

MSC:

74B20 Nonlinear elasticity
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
74B99 Elastic materials
74H99 Dynamical problems in solid mechanics
65J99 Numerical analysis in abstract spaces
34A34 Nonlinear ordinary differential equations and systems

Keywords:

Bernoulli-Euler equation; arbitrary loading; cantilever bar; Cauchy type problem; simply supported bar; bilocal problem; two; steps procedure; nonlinear bending; linear elastic; isotropic hyperstatic straight bar; variable stiffness; linear equivalence method; built-in at one end; simply supported; moderate deformations; rotations

Citations:

Zbl 0559.73062
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Full Text: DOI

References:

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