Abstract Rain-wind-induced vibration is a low-frequency, large-amplitude vibration phenomenon of the cable under specific wind and rain conditions, which is one of the primary forms of vibration. The condition of this phenomenon is exceptional, so it is always a big problem to simulate it comprehensively and accurately. This article proposes a numerical simulation method of a three-dimensional flexible stay cable under the rain-wind-induced vibration, which can reflect the interaction of three phases: gas-liquid-solid. Based on the lubrication theory and the three-dimensional rigid mathematical model of bidirectional coupling of rain-wind induced vibration created by the previous authors, this method considers the cable as a flexible structure, which is more suitable for the actual situation and uses the Ansys software to calculate the vibration of the three-dimensional flexible cable and realizes the coupling effect by transmitting the calculated information through the software, which simulates different phase states. The rain-wind-induced vibration phenomenon of the three-dimensional flexible stay cable at a specific wind speed is reproduced by numerical simulation. The calculated results agree with the experimental results, confirming the method's accuracy and feasibility. The spatial evolution of the water film on the surface of the three-dimensional stay cable is analyzed, and the mechanism of rain-wind-induced vibration is explained from the three-dimensional level.
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