Complex Dynamics and Systems Program: Dynamics of Topological Metastructures
Abstract
The project will investigate the dynamic behavior of topological meta-structures. Topology has recently emerged as a principle governing unique wave transport phenomena through interface or edge modes that are impurity-immune and potentially unidirectional. In mechanics, these phenomena arise by marrying the notion of material and structure, and are expected to lead to functionalities at the mesoscale that are unattainable solely based on the properties of constituents. Beyond the mere notion of a material, these meta-structures draw their unique characteristics from their finite size and the existence of interfaces. The resulting structural assemblies are expected to feature unprecedented performance in terms of stress wave mitigation, wave guiding, acoustic absorption, and vibration isolation. Specifically, the research will study the effects of nonlinearities on topological properties, and will explore complex topologies based on quasi-periodic and random assemblies. Systematic investigation of the effects of nonlinearities on topological properties will enable the exploration of the appearance of edge and localized modes, the onset of interfaces due to local instabilities and bifurcations, and of robustness to disorder. In addition, the study of lattices with periodicity at multiple scales, or that are obtained as random perturbations of periodic and quasi-periodic configurations is expected to uncover additional unique properties related to wave propagation, stability, anharmonicity and topological protection, which are likely to broaden the scope of the investigations, and lead to unexplored properties with relevance to engineering applications related to mechanical wave transport.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Jul 09, 2020
- Source ID
- W911NF2010110
Entities
People
- Massimo Ruzzene
Organizations
- Army Contracting Command
- United States Army
- University of Colorado Boulder