Abstract: This paper studies the problem of free bending vibration of uniform columns with arbitrarily shaped cross sections partially submerged in water. A general, exact, analytical solution based on Fourier collocation method is presented to solve the dynamic characteristics of coupled vibration of columns with water. Finally, some numerical results are given for elliptical columns submerged in water.

Key words: solid-fluid interaction, coupled vibration, column, hydrodynamic pressure, exact analytical solution