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In this paper, the effects of forward speed on the lateral vibration of a slender structure in an infinite fluid are considered. By equating the bending stress of the structure with the hydrodynamic force acting on it, the equation which governs the fluid-structure interaction of a slender structure both vibrating and moving in water is obtained. Numerical results show that the influence of forward speed on the vibration of a slender structure in water is significant. It behaves like damping, reducing both natural frequencies and responses significantly.