Investigation on Nonlinear Dynamics Behavior of Stay Cables under Rain-Wind Induced Vibration in the Consideration of the Restoring Force and the Coulomb Force Comprehensively
Abstract. This paper consider the restoring force and the coulomb force between the cable and the rivulet comprehensively ,Use Alembert principle to establish two-degree coupled nonlinear motion differential equations of rain-wind-induced vibrations of the cable structure . The equation was analyzed by numerical calculation method with mathematic program . The phase diagrams of cable and water-line were achieved, Also analyzed the effect of the density ratio、viscosity and other parameters on the cable amplitude . Finally through the calculation of Lyapunov performance index obtained the system exist chaotic region. The Phase trajectory and the time-history curve with time extension will be increasingly larger , which can,t be predicted ,thus the chaos phenomenon of system being better interpreted .