Unilateral and nonreciprocal transmission through bilinear spring systems
Abstract
Longitudinal wave propagation is considered in a pair of waveguides connected by bilinear spring systems. The nature of the nonlinearity causes the compressive and tensile force-displacement relations of the bilinear spring to behave in a piece-wise linear manner, and all transmitted and reflected waves scale linearly with the incident wave amplitude. We first concentrate on a single bilinear spring connecting two waveguides. By controlling the bilinear stiffness parameters it is possible to convert a time harmonic incident wave into a transmitted wave of the same period but with particle displacement of a single sign, positive or negative, an effect we call unilateral transmission. Nonreciprocal wave phenomena are obtained by introducing spatial asymmetry. A simple combination of a single bilinear spring with a mass and a linear spring shows significant nonreciprocity with transmission relatively high in one direction and low in the opposite direction.
Cite
@article{arxiv.2012.00693,
title = {Unilateral and nonreciprocal transmission through bilinear spring systems},
author = {Zhaocheng Lu and Andrew N. Norris},
journal= {arXiv preprint arXiv:2012.00693},
year = {2020}
}
Comments
8 pages, 4 figures