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A direct
one-dimensional beam model for the flexural-torsional
buckling of thin-walled beams
Giuseppe Ruta, Marcello Pignataro and Nicola Rizzi |
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Vol. 1 (2006), No. 8, 1479–1496
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Abstract |
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In this paper, the direct one-dimensional beam model introduced by one of the authors is refined to take into account nonsymmetrical beam cross-sections. Two different beam axes are considered, and the strain is described with respect to both. Two inner constraints are assumed: a vanishing shearing strain between the cross-section and one of the two axes, and a linear relationship between the warping and twisting of the cross-section. Considering a grade one mechanical theory and nonlinear hyperelastic constitutive relations, the balance of power, and standard localization and static perturbation procedures lead to field equations suitable to describe the flexural-torsional buckling. Some examples are given to determine the critical load for initially compressed beams and to evaluate their post-buckling behavior. |
Keywords
thin-walled beams, direct one-dimensional models,
flexural-torsional buckling
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Milestones
Received: 13 January 2006
Accepted: 5 May 2006
Published: 1 December 2006
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Authors |
| Giuseppe Ruta | |
| Dipartimento di Ingegneria
Strutturale e Geotecnica Università “La Sapienza” via Eudossiana 18 00184 Rome Italy |
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| http://w3.disg.uniroma1.it/GiusseppeRuta | |
| Marcello Pignataro | |
| Dipartimento di Ingegneria
Strutturale e Geotecnica Università “La Sapienza” via Eudossiana 18 00184 Rome Italy |
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| Nicola Rizzi | |
| Dipartimento di Strutture Università Roma Tre via Vito Volterra 62 00146 Rome Italy |
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