  This paper presents an efficient coupling of the 3D Stokes flow interacting
with an effective perforated periodic heterogeneous anisotropic 2D plate. The
effective model was obtained by the asymptotic analysis in earlier works and
here an effective numerical algorithm is given. By $Q_3$ or bi-cubic spacial
interpolation the time-dependent problem was reduced to an algebraic system of
ordinary differential equation in time. Different examples were given,
demonstrating the influence of the structural plate parameters on the solution.
