Nonlinear Wave Propagation in 3D-Printed Graded Lattices of Hollow Elliptical Cylinders
arXiv:1812.00095 · doi:10.1016/j.jmps.2019.02.001
Abstract
We propose a 3D-printed graded lattice made of hollow elliptical cylinders (HECs) as a new way to design impact mitigation systems. We observe asymmetric dynamics in the graded HEC chains with increasing and decreasing stiffness. Specifically, the increasing stiffness chain shows an acceleration of the propagating waves, while the decreasing stiffness chain shows the opposite. From the standpoint of impact mitigation, the decreasing stiffness chain combined with the strain-softening behavior of HECs results in an order-of-magnitude improvement in force attenuation compared to the increasing stiffness chain. We extend this finding to the graded 2D arrays and demonstrate a similar trend of wave transmission efficiency contrast between the increasing and decreasing stiffness lattices. The 3D-printed HEC lattices shown in this study can lead to the development of a new type of impact mitigating and shock absorbing structures.
arXiv comment22 pages, 11 figures, 4 appendices
References in corpus (7)
- Asymmetric acoustic propagation of wave packets via the self-demodulation effect
- Experimental evidence of shock mitigation in a Hertzian tapered chain
- Metastable Modular Metastructures for On-Demand Reconfiguration of Band Structures and Non-Reciprocal Wave Propagation
- Pulse propagation in tapered granular chains: An analytic study
- On the wave propagation analysis and supratransmission prediction of a metastable modular metastructure for non-reciprocal energy transmission
- Pulse propagation in decorated granular chains: An analytical approach
- Demonstration of dispersive rarefaction shocks in hollow elliptical cylinder chains