Vibrations of inclined cables under skew wind

Abstract

A non-linear finite element model of inclined cables, i.e. cables with non-leveled supports, in the large displacement and deformation fields is proposed for computing the dynamic response to wind loads which blow in arbitrary direction. The initial equilibrium, assumed as the static configuration under self weight and mean wind component, is defined by a continuous approach, following an iterative procedure which starts from the configuration under self weight only. The proposed formulation, which accounts for longitudinal inertia forces, allows to spot the circumstances when the simplified small-sag approach, adopting longitudinal mode condensation, becomes too crude. Numerical simulations have been performed empoying the Proper Orthogonal Decomposition to lower the computational effort.

Strouhal number of bridge cables with ice accretion at low flow turbulence

“…The excitation mechanism of cables of cable-supported bridges and associated boundary conditions have been extensively researched in the last fifteen years and reported in many papers (Bartoli et al 2006, Impollonia et al 2011, Jakobsen et al 2012, Matsumoto et al 2001, Wardlaw 1990. A thorough analysis of the dynamic wind response of such structures requires that the vortex-shedding excitation, the buffeting due to wind gusting, the dry inclined cable galloping instability, the wake interference, and the rain-wind induced vibrations should be considered.…”

Theory of Weightless Sagging Elasto-Flexible Cables

“…Most of the theoretical investigations on cable mechanics deal with nonlinear elastic single heavy sagging cables with or without concentrated loads (Irvine and Sinclair 1976;Nayfeh and Pai 2004;Impollonia et al 2011;Lacarbonara 2013;Coarita and Flores 2015). The discrete finite elements are demonstrated to be better than the continuous catenary elements (Abad et al 2013).…”

Dynamic Computation and Design of a World's Record Death-Ride

“…The only way they can withstand external transverse forces is to find equilibrium in a largely displaced configuration [7]. While the model considered in this paper is limited to a planar representation [4], some tridimensional models offer accurate modeling of the complex nonlinear vibrations of cable in both the vertical and the horizontal directions [7].…”