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EnglishThe discrete equations developed in Part I are here used to analyze the non-linear dynamics of an inextensional shear indeformable beam with given end constraints. The model takes into account the non-linear effects of warping and of torsional elongation. Non-linear 3D oscillations of a beam with a cross-section having one symmetry axis is examined. Only terms of higher magnitude are retained in the equations, which exhibit quadratic, cubic and combination resonances. A harmonic load acting in the direction of the symmetry axis and in resonance with the corresponding natural frequency, is considered. Steady-state solutions and their stability are studied; in particular the effects of non-linear warping and of torsional elongation on the response are highlighted. (C) 2002 Elsevier Science Ltd. All rights reserved.
| Titolo: | A non-linear model for the dynamic s of open cross-section thin-walled beams - Part II: Forced motion | |
| Autori: | ||
| Data di pubblicazione: | 2003 | |
| Rivista: | ||
| Abstract: | The discrete equations developed in Part I are here used to analyze the non-linear dynamics of an inextensional shear indeformable beam with given end constraints. The model takes into account the non-linear effects of warping and of torsional elongation. Non-linear 3D oscillations of a beam with a cross-section having one symmetry axis is examined. Only terms of higher magnitude are retained in the equations, which exhibit quadratic, cubic and combination resonances. A harmonic load acting in the direction of the symmetry axis and in resonance with the corresponding natural frequency, is considered. Steady-state solutions and their stability are studied; in particular the effects of non-linear warping and of torsional elongation on the response are highlighted. (C) 2002 Elsevier Science Ltd. All rights reserved. | |
| Handle: | http://hdl.handle.net/11697/13902 | |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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