A generalized damped Beck's column under non conservative autonomous and non autonomous actions governed by nonlinear partial integro-differential equations of motion is considered. The problem of deriving a discrete model for this nonself-adjoint system as well as criteria for a proper choice of the trial functions are discussed. Through a Galerkin approach, a discrete model capable of representing both critical and post-critical scenario is derived. Critical scenarios are shown and a good agreement between continuos and discrete approach is observed. The Multiple Scales Method is used in order to obtain the bifurcation equations in the neighborhood of a Hopf bifurcation point in primary parametric resonance.
CONTINUOUS VS. DISCRETE APPROACH FOR PARAMETRIC RESONANCE IN A GENERALISED BECK’S COLUMN / Paolone, A.; Romeo, Francesco; Vasta, M.. - (2008), pp. 1-12. (Intervento presentato al convegno 7th European Conference on Structural Dynamics tenutosi a Southampton; United Kingdom nel 7-9 LUGLIO).
CONTINUOUS VS. DISCRETE APPROACH FOR PARAMETRIC RESONANCE IN A GENERALISED BECK’S COLUMN
A. PAOLONE;ROMEO, Francesco;
2008
Abstract
A generalized damped Beck's column under non conservative autonomous and non autonomous actions governed by nonlinear partial integro-differential equations of motion is considered. The problem of deriving a discrete model for this nonself-adjoint system as well as criteria for a proper choice of the trial functions are discussed. Through a Galerkin approach, a discrete model capable of representing both critical and post-critical scenario is derived. Critical scenarios are shown and a good agreement between continuos and discrete approach is observed. The Multiple Scales Method is used in order to obtain the bifurcation equations in the neighborhood of a Hopf bifurcation point in primary parametric resonance.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
