Forced Vertical Vibration of a Rigid Elliptical Disc on an Elastic Half-Space
The forced vertical vibration of a rigid frictionless elliptical disc on the surface of an elastic half-space is considered. This mixed boundary value problem is reduced to a (two-dimensional) integral equation. An approximation is obtained for the displacement of the disc by using a variational procedure.
Stallybrass, M. P., & Scherer, S. E. (1976). Forced vertical vibration of a rigid elliptical disc on an elastic half-space. International Journal of Engineering Science, 14(6), 511-522. doi:10.1016/0020-7225(76)90015-X