Abstract: Vertical vibration of a rigid body on fluid saturated porous half space is studied. At first governing equations of dynamic problem for fluid saturated solid (Biot's wave equations) are solved by Hankel transform. Then the dual integral equations of vertical vibration of a rigid body on fluid saturated porous half space are established according to the mixed boundary value condition. By applying Abel transform the dual integral equations are reduced to Fredholm integral equation of the second kind. The d...