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 abeam with across-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.

A nonlinear model for open cross-section thin-walled beams, Part II: Forced motion / DI EGIDIO, A.; Luongo, A.; Vestroni, Fabrizio. - In: INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS. - ISSN 0020-7462. - STAMPA. - 38:7(2003), pp. 1083-1094. [10.1016/S0020-7462(02)00054-9]

A nonlinear model for open cross-section thin-walled beams, Part II: Forced motion

VESTRONI, Fabrizio
2003

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 abeam with across-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.
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A nonlinear model for open cross-section thin-walled beams, Part II: Forced motion / DI EGIDIO, A.; Luongo, A.; Vestroni, Fabrizio. - In: INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS. - ISSN 0020-7462. - STAMPA. - 38:7(2003), pp. 1083-1094. [10.1016/S0020-7462(02)00054-9]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/35843
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