2020/10/30 by Zhao Lu, Lu, Zhaocheng, Andrew N. Norris +1
Engineering · Physics and Astronomy · #Acoustic Wave Phenomena Research #Experimental and Theoretical Physics Studies #FOS: Physical sciences #Mechanical and Optical Resonators #Pattern Formation and Solitons (nlin.PS)
paper · pdf · doi:10.48550/arxiv.2012.00693
openalex publication_date 2020/10/30 · openalex created_date 2020/12/07 · openalex updated_date 2026/07/28
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.