Lateral and Rocking Vibration of Footings

Numerical data are presented for the steady-state response of a rigid circular disk, or footing, supported at the surface of an elastic halfspace and excited by a harmonically varying horizontal force and a harmonically varying overturning moment. The disk is considered to be massless. The response quantities evaluated include the displacements of the disk in the directions of the exciting forces, the rotation due to the horizontal force, and the distributions of the contact stresses beneath the disk. Data are also presented for the stiffness and damping coefficients in an equivalent spring-dashpot representation of the disk-foundation system. The major displacement components are finally compared with those determined from two previously reported approximate solutions, including one based on an assumed distribution of the contact pressure.