On bending vibrations of a periodically inhomogeneous orthotropic plate

The matrix technique which has been developed by the author in connection with solving the problem of elastic wave propagation in an unbounded medium with periodic inhomogeneities is applied. The formalism is extended to the case of bending vibrations of inhomogeneous and periodically inhomogeneous orthotropic plates.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova, Vol. 179, pp. 179–181, 1989.