Merging mechanical and electromechanical locally resonant bandgaps in metamaterials

Christopher Sugino, Massimo Ruzzene, Alper Erturk

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

It is well known that locally resonant (LR) metamaterials exhibit bandgaps at wavelengths much larger than the lattice size, which can be exploited in various applications such as low-frequency vibration attenuation. In this work, we explore the combination of mechanical and electromechanical LR bandgaps in the same single metastructure for bandwidth enhancement by focusing on a cantilevered composite Euler-Bernoulli beam under transverse vibrations. The nature of bandgap formation in mechanical/elastic and electromechanical/electroelastic (more specifically piezoelectric) LR metamaterials is fundamentally different. LR bandgap in mechanical metamaterials made from a continuous structure with array of spring-mass attachments tuned to a certain frequency is associated with a frequency-dependent modal mass term. However, LR bandgap in electromechanical metamaterials made from an array of resonant piezoelectric shunt circuits (again, tuned to a certain frequency) is associated with a frequency-dependent modal stiffness term. As an important consequence, the mechanical LR bandgap forms above the target frequency of tuned resonators, and its size depends on the resonator to host structure mass ratio; while the electromechanical LR bandgap forms below the target frequency, and its size depends on the overall system-level electromechanical coupling coefficient. We show that targeting the same resonant frequency in spring-mass and inductive-capacitive circuits in the same single structure results in an enhanced bandgap. Modal analysis of the finite composite metastructure is presented and closed form expressions are obtained to analytically estimate the hybrid mechanical-electromechanical bandgap.

Original languageEnglish
Title of host publication8th Conference on Smart Structures and Materials, SMART 2017 and 6th International Conference on Smart Materials and Nanotechnology in Engineering, SMN 2017
EditorsAlfredo Guemes
Pages1669-1676
Number of pages8
ISBN (Electronic)9788494690938
StatePublished - 2017
Event8th ECCOMAS Thematic Conference on Smart Structures and Materials, SMART 2017 and 6th International Conference on Smart Materials and Nanotechnology in Engineering, SMN 2017 - Madrid, Spain
Duration: 5 Jun 20178 Jun 2017

Publication series

Name8th Conference on Smart Structures and Materials, SMART 2017 and 6th International Conference on Smart Materials and Nanotechnology in Engineering, SMN 2017
Volume2017-January

Conference

Conference8th ECCOMAS Thematic Conference on Smart Structures and Materials, SMART 2017 and 6th International Conference on Smart Materials and Nanotechnology in Engineering, SMN 2017
Country/TerritorySpain
CityMadrid
Period5/06/178/06/17

Keywords

  • Bandgap
  • Electromechanical
  • Locally resonant
  • Mechanical
  • Metamaterial

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