Good Vibes. In Art of Science

Caption: Interaction of linear and nonlinear waves in a lattice with equal constraints and degrees of freedom Participant category: Graduate student Department: Mechanical and Aerospace Engineering This project studies how nonlinearity influences the response of zero energy modes of deformation in a topological lattice with balanced degrees of freedom and constraints. These topological lattices can be tuned to have a soft edge with zero stiffness and a hard edge with infinite stiffness. In addition the quasi-static nature of the zero modes in two spatial dimensions can be shown to mimic nonlinear wave phenomena in one space and one time dimension. This study demonstrates how nonlinear waves add a new degree of deformation and energy manipulation in addition to previous topological band theory allowing for novel metamaterials and a new and efficient method for studying nonlinear dynamic systems.

说明：约束与自由度均等的晶格内线性波与非线性波的相互作用
参与者类别：研究生
所属院系：机械与航空航天工程系
本项目旨在探究非线性特性对平衡约束与自由度的拓扑晶格（topological lattice）内形变零能量模式（zero energy modes）响应的调控机制。此类拓扑晶格可被精准调控，实现零刚度的柔性边缘与无穷大刚度的刚性边缘。此外，二维空间中零模式的准静态特性可被证实可模拟一维空间-一维时间维度下的非线性波动现象。本研究表明，相较于既往拓扑能带理论（topological band theory），非线性波可带来全新的形变与能量调控维度，为新型超材料（metamaterials）的研发以及非线性动力学系统的研究提供了一种新颖高效的路径。