Abstract
Vertical oscillation of a circular disk on an elastic half space is solved. For this purpose, a comprehensive method has been developed on the basis of the direct integral equation which relates explicitly the displacement of the disk to the stress of contact. This integral equation and the differential equation of motion of the elastic disk are discretized separately. As a consequence, a method of wide applicability is obtained; the stiffness and the mass density of the disk as well as the external force can assume arbitrary distribution. The obtained linear algebraic equation, whose coefficient matrix has originally been virtually singular, is modified theoretically and is made numerically robust. As a demonstration, the new algorithm is applied to axisymmetrical and rocking oscillations of a uniform elastic disk and its result discussed.
