论文标题
非线性波传播的相位空间分析，在具有缺陷的可动力超材料中
Phase space analysis of nonlinear wave propagation in a bistable mechanical metamaterial with a defect
论文作者
论文摘要
我们研究在存在局部不均匀性（缺陷）的情况下，在一维元素中行驶的孤立波的动力学。数值模拟表明，根据其初始速度，在与缺陷相互作用时，传入的孤立波可以传播，捕获或反射。动力学由波动和呼吸模式之间的能量交换主导。我们为波浪交互作用提供了一个减小的两度自由度哈密顿模型，并使用动态系统技术进行分析。 Lobe动力学分析揭示了相位空间的精细结构，从而导致该系统中复杂的动力学。这项工作是开发一种理性方法来进行缺陷工程来操纵机械超材料中非线性波的一步。
We study the dynamics of solitary waves traveling in a one-dimensional chain of bistable elements in the presence of a local inhomogeneity (defect). Numerical simulations reveal that depending upon its initial speed, an incoming solitary wave can get transmitted, captured or reflected upon interaction with the defect. The dynamics are dominated by energy exchange between the wave and a breather mode localized at the defect. We derive a reduced-order two degree of freedom Hamiltonian model for wave-breather interaction, and analyze it using dynamical systems techniques. Lobe dynamics analysis reveals the fine structure of phase space that leads to the complicated dynamics in this system. This work is a step towards developing a rational approach to defect engineering for manipulating nonlinear waves in mechanical metamaterials.
