Absorption of zero Lamb waves in an elastic layer by mechanical resonators with friction

The propagation of zero Lamb waves in a plate with mechanical resonators attached to its surfaces is studied. It is shown that, in a plate that is single-mode for symmetric (antisymmetric) waves, the zero symmetric (antisymmetric) Lamb wave can be absorbed by mechanical resonators with a certain friction. The single-mode (for symmetric or antisymmetric waves) plate can be not thin compared to the wavelength of the transverse wave.