Parametric Study on the Nonlinear Dynamics of a Three-Stay Cable Network under Stochastic Free Vibration

Gian Felice Giaccu, Bernardo Barbiellini, Luca Caracoglia
2015 Journal of engineering mechanics  
Crossties and cable networks are used on cable-stayed bridges to mitigate wind-induced stay vibration. A nonlinear free-vibration analysis of a cable network with random oscillation amplitudes is presented in this study. Specifically, a nonlinear restoring-force spring model is introduced at the crosstie to simulate in-plane network free vibration at large amplitudes. The current constitutive model of the crosstie is also combined with taut-cable theory to simulate the dynamics in the stays and
more » ... cs in the stays and is solved by the equivalent linearization method. Stochastic functions are introduced in the model because the measure of the amplitudes produced by wind-and rain-wind-induced vibrations in the network can be affected by various uncertainties. The stochastic approximation (SA) algorithm is applied to find the roots of the characteristic polynomials associated with a stochastic vibration amplitude parameter. Brute force Monte Carlo methods are also used to analyze the SA convergence properties.
doi:10.1061/(asce)em.1943-7889.0000887 fatcat:m6owhephlze7dkphinbgaqzb4y