具有非线性颗粒链的弯曲弹性波超材料中的二极管行为

Diode behaviors of curved elastic wave metamaterials with a nonlinear granular chain

本文研究了非线性弹性波超材料的带隙和非互易传播特性,该结构由双振子弯曲颗粒链组成.采用增量谐波平衡方法推导了具有分数项的非线性波方程.考虑了不同的弯曲角度和振幅比对非线性弹性波带隙的影响.通过Runge-Kutta方法数值计算和实验研究证实了超材料的带隙和二极管行为.本研究为非线性声子晶体和具有不同弯曲方向的力学超材料提供了新的应用.

This work studies about the band gap characteristics and nonreciprocal propagation of nonlinear elastic wave metamaterials which are composed of the curved particle chain with diatomic lattice.The incremental harmonic balance(IHB)method is applied to derive the nonlinear wave equation with fractional terms.Different curved angles and amplitude ratios are considered to show band gaps of nonlinear elastic waves.Both numerical calculations by the Runge-Kutta method and experiments are performed to support band gaps and diode behaviors.This study provides a new application of nonlinear phononic crystals and mechanical metamaterials with different curved directions.