Dynamic Interaction of a Rigid Plate with Transversely Isotropic Full-Space

This paper deals with the dynamic interaction of a massless rigid circular plate and a transversely isotropic full-space in frequency domain. The plate is located in an arbitrary place in the full-space in such a way its normal vector is in the direction of the axis of material symmetry of the domain, and undergoes a vertical displacement with a frequency of. Using potential representation and Henkel integral transform, and satisfying the continuity and regularity conditions, the governing equations are transformed to dual integral equations, which can be changed to a Fredholm integral equation of second kind. The Fredholm integral equation is solved analytically in the static case, where is zero, and is numerically evaluated in the general dynamic case. The results are shown to be identical with the simple case of isotropy in both analytical form and numerical evaluation.