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| As of date, there is a growing interest in the dynamics of higher dimensional granular crystals. One of the central objectives of the current research activity in the area of granular meta-materials is to achieve an efficient mechanism for attenuation, absorption and redirection of non-linear stress waves. Dynamics of locally resonant, granular meta-materials is a subject of intense study of the past few years and from the theoretical view point remains a relatively young and also hardly explored area. As of today there is a lack of a substantial theoretical understanding of the dynamics of locally resonant, non-linear lattices.
Model under consideration comprises the chain of elements, incorporating internal rotators and subject to horizontal and vertical local potentials. In the present talk we present the recent results of the analytical and numerical study of the intrinsic mechanisms of complete, resonant energy redirection as well as the recurrent energy transport between the vertical and horizontal directions, spontaneous energy entrapment and the direction reversing localized wave packets.
Based on the results of the theoretical studies we formulate the conceptual design of locally resonant, non-linear scalar model bringing to the desired response of the meta-material e.g. permanent wave redirection for the lower amplitude pulses, uni-directional wave transmission for the higher amplitude pulses, direction reversal of the moving breathers by the properly tuned internal rotators. |
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