The discrete equations developed in Part I are here used to analyze the nonlinear dynamics of an inextensional shear indeformable beam with given end constraints. The model takes into account the nonlinear effects of warping and of torsional elongation. Nonlinear 3D oscillations of a beam with a cross section having one symmetry axis is axaminated. 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 nonlinear warping and of torsional elongation on the responce are highlighted.
A Nonlinear Model for Open Cross-Section Thin-Walled Beams - Part II: Forced Motion
DI EGIDIO, ANGELO;LUONGO, Angelo;
2003-01-01
Abstract
The discrete equations developed in Part I are here used to analyze the nonlinear dynamics of an inextensional shear indeformable beam with given end constraints. The model takes into account the nonlinear effects of warping and of torsional elongation. Nonlinear 3D oscillations of a beam with a cross section having one symmetry axis is axaminated. 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 nonlinear warping and of torsional elongation on the responce are highlighted.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
