Wave propagation in elastic lattices subjected to a local harmonic loading. II. Two-dimensional problems

Steady-state and transient processes of elastic wave propagation in infinite 2D massless and material-bond lattices subjected to a local monochromatic excitation are studied. Anti-plane dynamics of rectangular and triangular lattices is considered. Mathematical models of lattices, dispersion properties of free waves, and results of transient problems solution are presented. Resonant excitations of lattices are explored. Asymptotic solutions are compared with the results of computer simulation. Special attention is given to the wave-beaming pattern in the case of the excitation frequency located within a pass-band.

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