Vibration absorption in a nonlinear metamaterial beam incorporating shape memory alloys

Ralston Fernandes, James G. Boyd, Sami El-Borgi, Dimitris C. Lagoudas

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

Abstract

Locally resonant metamaterials are capable of demonstrating low-frequency vibration absorption due to the formation of stop-bands. In this work, the multi-mode vibration absorption capability of an adaptive nonlinear metamaterial beam is investigated. The metamaterial beam is idealized as a hinged-hinged finite Euler-Bernoulli beam with a von-Kármán geometric type nonlinearity that is attached to a distributed cellular array of shape memory alloy (SMA) spring–mass resonators. Numerical studies are performed to evaluate the effects of dissipation and change in elastic modulus due to material phase change of SMA pseudoelasticity on the dynamic response of the beam. Using a modal analysis approach, stop-bands are generated at the first three nonlinear frequencies of the beam. The frequency response demonstrates a hardening behavior at a temperature significantly higher than the austenite finish temperature while conversely demonstrating a softening behavior at a temperature slightly above the austenite finish temperature.

Original languageEnglish
Title of host publicationAcoustics, Vibration, and Phononics
PublisherAmerican Society of Mechanical Engineers (ASME)
ISBN (Electronic)9780791859483
DOIs
Publication statusPublished - 2019
Externally publishedYes
EventASME 2019 International Mechanical Engineering Congress and Exposition, IMECE 2019 - Salt Lake City, United States
Duration: 11 Nov 201914 Nov 2019

Publication series

NameASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)
Volume11

Conference

ConferenceASME 2019 International Mechanical Engineering Congress and Exposition, IMECE 2019
Country/TerritoryUnited States
CitySalt Lake City
Period11/11/1914/11/19

Keywords

  • Locally resonant metamaterials
  • Nonlinear dynamics
  • Pseudoelastic
  • Shape memory alloys

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