Wave propagation in an elastic lattice with non-reciprocal stiffness and engineered damping

Journal of Acoustical Society of America

🔁 Non-reciprocity tunes the wave's group velocity, frequency and amplification rate

In this paper, we present a theoretical and numerical investigation of non-reciprocal dampers in one-dimensional elastic lattices, with a focus on dynamically controlling wave attenuation and energy dissipation. Our approach leverages asymmetric design principles and careful tuning of non-reciprocal parameters to achieve directional control of waves. We show that asymmetry in damping alone is sufficient to produce notable non-reciprocal behavior in both attenuation and group velocity. To provide a broader perspective, we also examine and compare the following configurations: (i) lattices with non-reciprocal springs, (ii) lattices with reciprocal springs coupled with non-reciprocal dampers, and (iii) lattices incorporating non-reciprocity in both springs and dampers.