<title>In-plane and out-of-plane vibration suppression of stay-cable by viscous dampers</title>

Abstract

In this paper, the governing equations of space nonlinear vibration for a stay-cable with viscous dampers are first derived. Bending stiffness, static sag and geometric non-linearity of cable are taken into account. The partial differential equations are discretized in space by the finite center difference approximation, then the nonlinear ordinary differential equations are obtained. A hybrid method involving the combination of the Newmark method and the pseudo-force strategy is proposed to analyze the nonlinear transient response of stay-cable with viscous dampers under arbitrary dynamic loading. The proposed method offers some advantages of accuracy and efficiency to deal with nonlinearity. Numerical examples including the short cable and the long cable under arbitrary loads are carried out to demonstrate the applicability of the proposed method and to verify the control efficiency of in-plane and out-of-plane coupling vibration of stay-cable attached viscous dampers