  An analytical solution of the impulsive impact of a cylindrical body
submerged below a calm water surface is obtained by solving a free boundary
problem. The shape of the cross section of the body is arbitrary. The integral
hodograph method is applied to derive the complex velocity potential defined in
a parameter plane. The boundary-value problem is reduced to a Fredholm integral
equation of the first kind in the velocity magnitude on the free surface. The
velocity field, the impulsive pressure on the body surface, and the added mass
are determined in a wide range of depths of submergence for various
cross-sectional shapes, such as a flat plate, a circular cylinder, and a
rectangle.
