Effect of large deformation pre-loads on linear wave propagation in hexagonal lattices

Abstract eng:
We study linear wave propagation in nonlinear hexagonal lattices capable of undergoing large deformations, under different levels of pre-load. The lattices are composed of a set of masses connected by linear axial and angular springs, with the nonlinearity arising solely from geometric effects. By applying different levels of pre-load, the small amplitude linear wave propagation response can be varied from isotropic to highly directional. Analytical expressions for the stiffness of a unit cell in the deformed configuration are used to analyze the dispersion surfaces under different levels of pre-load. Numerical simulations on finite lattices demonstrate the validity of our unit cell dispersion analysis predictions and illustrate the wave steering potential of our lattice.

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