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Metastable modular metastructures for on-demand reconfiguration of band structures and nonreciprocal wave propagation

Z. Wu1,*, Y. Zheng1,2, and K. W. Wang1

  • 1Department of Mechanical Engineering, University of Michigan, Ann Arbor, Michigan 48109-21255, USA
  • 2State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi'an Jiaotong University, Xi'an 710049, People's Republic of China

  • *wuzhen@umich.edu
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Phys. Rev. E 97, 022209 – Published 8 February, 2018

DOI: https://doi.org/10.1103/PhysRevE.97.022209

Abstract

We present an approach to achieve adaptable band structures and nonreciprocal wave propagation by exploring and exploiting the concept of metastable modular metastructures. Through studying the dynamics of wave propagation in a chain composed of finite metastable modules, we provide experimental and analytical results on nonreciprocal wave propagation and unveil the underlying mechanisms that facilitate such unidirectional energy transmission. In addition, we demonstrate that via transitioning among the numerous metastable states, the proposed metastructure is endowed with a large number of bandgap reconfiguration possibilities. As a result, we illustrate that unprecedented adaptable nonreciprocal wave propagation can be realized using the metastable modular metastructure. Overall, this research elucidates the rich dynamics attainable through the combinations of periodicity, nonlinearity, spatial asymmetry, and metastability and creates a class of adaptive structural and material systems capable of realizing tunable bandgaps and nonreciprocal wave transmissions.

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Phys. Rev. E 97, 022209– Published 8 February, 2018
  • Received 25 August 2017
Article part of CHORUS
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