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arXiv · 1910.05356

Non-reciprocal wave transmission in a bilinear spring-mass system

Zhaocheng Lu·Andrew N. Norris
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Abstract

Significant amplitude-independent and passive non-reciprocal wave motion can be achieved in a one dimensional (1D) discrete chain of masses and springs with bilinear elastic stiffness. Some fundamental asymmetric spatial modulations of the bilinear spring stiffness are first examined for their non-reciprocal properties. These are combined as building blocks into more complex configurations with the objective of maximizing non-reciprocal wave behavior. The non-reciprocal property is demonstrated by the significant difference between the transmitted pulse displacement amplitudes and energies for incidence in opposite directions. Extreme non-reciprocity is realized when almost-zero transmission is achieved for the propagation from one direction with a noticeable transmitted pulse for incidence from the other. These models provide the basis for a class of simple 1D non-reciprocal designs and can serve as the building blocks for more complex and higher dimensional non-reciprocal wave systems.

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Zhaocheng Lu, Andrew N. Norris. 2019-10-11. Non-reciprocal wave transmission in a bilinear spring-mass system. https://arxiv.org/abs/1910.05356

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