Abstract
In the paper the interaction of wake and the cable with passive damper is analyzed. Vortex induced vibrations (VIV) are caused by vortex shedding, located behind the cable. On the basis of formulation of the fluid forces applied to the cable in the direction of lift, it is described the coupled model where force is resulting from the coupling of cable and wake. The system of dynamical motion equations, corresponding to the coupled model, is supplemented by the equation representing the oscillating lift force acting on the vibrating cable. This equation models the near wake dynamics describing the fluctuating nature of vortex shedding. The numerical simulations are performed for the circular section of the cable. The vertical vibrations, perpendicular to the wind directions, are analyzed. In the first part of the paper the analysis of lift equation is performed for different variation of damping coefficients to fit the curve that fulfilled the fluid equations. The behavior of lift coefficient in time domain and velocity in location domain are presented. Then, for the chosen parameters of oscillating equation coming from the first part of numerical research, the dynamical behavior of the system: cable with and without damper and wake is performed. The displacements and velocities of vibrating cable with and without damper as well as the dynamical response of the wake in time domain are presented. Dimensionless amplitude of motion of the cable and the damper for different damping coefficient of the damper and amplitudes of derivatives of displacement are presented.
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Dutkiewicz, M. (2018). Interaction of Bridge Cables and Wake Behind in the Vortex Induced Vibrations. In: Awrejcewicz, J. (eds) Dynamical Systems in Applications. DSTA 2017. Springer Proceedings in Mathematics & Statistics, vol 249. Springer, Cham. https://doi.org/10.1007/978-3-319-96601-4_8
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DOI: https://doi.org/10.1007/978-3-319-96601-4_8
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