000004825 001__ 4825
000004825 005__ 20141119144556.0
000004825 04107 $$aeng
000004825 046__ $$k2002-06-02
000004825 100__ $$aGattulli, Vincenzo
000004825 24500 $$aNONLINEAR QUADRATIC INTERACTIONS IN CABLE-STAYED BEAMS

000004825 24630 $$n15.$$pProceedings of the 15th ASCE Engineering Mechanics Division Conference
000004825 260__ $$bColumbia University in the City of New York
000004825 506__ $$arestricted
000004825 520__ $$2eng$$aAn analytical model is proposed to study the nonlinear interactions between deck and cable motions in cable-stayed bridges. The integro-differential problem, describing the in-plane motion of a simple cable-stayed beam, presents quadratic and cubic nonlinearities in the cable equation and at the boundary cable-beam connection. System modal properties analytically derived evidence the occurrence of 1:2 and 1:3 internal resonances in the parameter range of technical interest. Quadratic interactions appearing at lower oscillation amplitude than cubic are the primary object of the study. Two cases of 1:2 resonance, namely, global-local and local-global interactions are analyzed by a 2dof analytical model. In the first case, the cable undergoes large oscillations due to an energy-transfer from lower-frequency (global mode) to higher-frequency (local mode) which are amplified for cable of light weight. In the second case, cable oscillations are induced by global motion at a double frequency of the first local mode through the well-known parametric excitation phenomenon. 

000004825 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000004825 653__ $$aCables, cable-stayed beam, analytical eigensolutions, nonlinear oscillations, parametric excitation.

000004825 7112_ $$a15th ASCE Engineering Mechanics Division Conference$$cNew York (US)$$d2002-06-02 / 2002-06-05$$gEM2002
000004825 720__ $$aGattulli, Vincenzo$$iPaolone, Achille$$iD’Amore, Giulio
000004825 8560_ $$ffischerc@itam.cas.cz
000004825 8564_ $$s653452$$uhttps://invenio.itam.cas.cz/record/4825/files/393.pdf$$yOriginal version of the author's contribution as presented on CD, .
000004825 962__ $$r4594
000004825 980__ $$aPAPER