The paper presents a planar multi-body system which synthetically describes the geometrically nonlinear section dynamics of cable-supported bridges, characterized by strong quadratic interactions among the bridge deck and the suspender cables. The linear modal solution, based on a multiparameter perturbation method, defines the parameter combinations which realize remarkable 2:1:1 internal resonance conditions among a global deck mode and a pair of local cable modes. The nonlinear response of resonant systems shows that the global deck motion -- directly forced at primary resonance by an external harmonic load -- can parametrically excite the local cable motion, if the deck vibration amplitude overcomes the critical value at which a period-doubling bifurcation occurs. Both the internal resonance conditions and the critical vibration amplitudes are expressed as an explicit, though asymptotically approximated, function of the structural parameters.

"Parametric interactions in the nonlinear sectional dynamics of suspended and cable-stayed bridges"

LEPIDI, MARCO;
2013

Abstract

The paper presents a planar multi-body system which synthetically describes the geometrically nonlinear section dynamics of cable-supported bridges, characterized by strong quadratic interactions among the bridge deck and the suspender cables. The linear modal solution, based on a multiparameter perturbation method, defines the parameter combinations which realize remarkable 2:1:1 internal resonance conditions among a global deck mode and a pair of local cable modes. The nonlinear response of resonant systems shows that the global deck motion -- directly forced at primary resonance by an external harmonic load -- can parametrically excite the local cable motion, if the deck vibration amplitude overcomes the critical value at which a period-doubling bifurcation occurs. Both the internal resonance conditions and the critical vibration amplitudes are expressed as an explicit, though asymptotically approximated, function of the structural parameters.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11567/631849
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