Novosibirsk, Russia, May, 30 – June, 4, 2011

"Modern Problems of Applied Mathematics and Mechanics: Theory, Experiment and Applications", devoted to the 90th anniversary of professor Nikolai N. Yanenko

## Alexandrova N.I.## Propagation of resonance waves in a square lattice. An antiplane problem The dynamics of a block medium is studied in the pendulum approximation, where it is assumed that the blocks are incompressible, and all the deformations and displacements are due to the compressibility of the interlayers. In this case, a lattice of masses connected together by springs may be considered as a computational model. Within the frames of this model, an antiplane deformation of a two-dimensional square lattice is studied which consists of masses connected by springs with equal stiffness in the both directions. The unsteady propagation of disturbances is studied under the action of concentrated sinusoidal load. The research was supported by the Russian Foundation for Basic Research (grant No.08-05-00509) and by the Siberian Branch of the Russian Academy of Sciences (integration project No. 74).
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