Metamaterial beam with embedded nonlinear vibration absorbers

Arnaldo Casalotti, Sami El-Borgi, Walter Lacarbonara

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

In this work the multi-mode vibration absorption capability of a nonlinear metamaterial beam is investigated. A Euler–Bernoulli beam is coupled to a distributed array of nonlinear spring–mass subsystems acting as local resonators/vibration absorbers. The dynamic behavior of the metamaterial beam is first investigated via the classical approach employed for periodic structures by which the frequency stop bands of the single cell are determined. Subsequently, the frequency response is obtained for the metamaterial beam to study a multi-frequency stop band system by adding an array of embedded nonlinear local resonators. A path following technique coupled with a differential evolutionary optimization algorithm is adopted to obtain the optimal frequency-response curves of the metamaterial beam in the nonlinear regime. The use of the local absorbers, via a proper tuning of their constitutive parameters, allows a significant reduction of the metamaterial beam oscillations associated with the lowest three vibration modes.

Original languageEnglish
Pages (from-to)32-42
Number of pages11
JournalInternational Journal of Non-Linear Mechanics
Volume98
DOIs
Publication statusPublished - 1 Jan 2018

Fingerprint

Nonlinear Vibration
Metamaterials
Absorber
Frequency Response
Resonator
Frequency response
Resonators
Vibration
Path Following
Euler-Bernoulli Beam
Evolutionary Optimization
Periodic structures
Periodic Structures
Dynamic Behavior
Evolutionary Algorithms
Lowest
Tuning
Optimization Algorithm
Subsystem
Absorption

Keywords

  • Metamaterial beam
  • Multi-mode control
  • Nonlinear vibration damping
  • Vibration absorbers

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

Cite this

Metamaterial beam with embedded nonlinear vibration absorbers. / Casalotti, Arnaldo; El-Borgi, Sami; Lacarbonara, Walter.

In: International Journal of Non-Linear Mechanics, Vol. 98, 01.01.2018, p. 32-42.

Research output: Contribution to journalArticle

@article{455cec64092643edafe5bd9cb708a491,
title = "Metamaterial beam with embedded nonlinear vibration absorbers",
abstract = "In this work the multi-mode vibration absorption capability of a nonlinear metamaterial beam is investigated. A Euler–Bernoulli beam is coupled to a distributed array of nonlinear spring–mass subsystems acting as local resonators/vibration absorbers. The dynamic behavior of the metamaterial beam is first investigated via the classical approach employed for periodic structures by which the frequency stop bands of the single cell are determined. Subsequently, the frequency response is obtained for the metamaterial beam to study a multi-frequency stop band system by adding an array of embedded nonlinear local resonators. A path following technique coupled with a differential evolutionary optimization algorithm is adopted to obtain the optimal frequency-response curves of the metamaterial beam in the nonlinear regime. The use of the local absorbers, via a proper tuning of their constitutive parameters, allows a significant reduction of the metamaterial beam oscillations associated with the lowest three vibration modes.",
keywords = "Metamaterial beam, Multi-mode control, Nonlinear vibration damping, Vibration absorbers",
author = "Arnaldo Casalotti and Sami El-Borgi and Walter Lacarbonara",
year = "2018",
month = "1",
day = "1",
doi = "10.1016/j.ijnonlinmec.2017.10.002",
language = "English",
volume = "98",
pages = "32--42",
journal = "International Journal of Non-Linear Mechanics",
issn = "0020-7462",
publisher = "Elsevier Limited",

}

TY - JOUR

T1 - Metamaterial beam with embedded nonlinear vibration absorbers

AU - Casalotti, Arnaldo

AU - El-Borgi, Sami

AU - Lacarbonara, Walter

PY - 2018/1/1

Y1 - 2018/1/1

N2 - In this work the multi-mode vibration absorption capability of a nonlinear metamaterial beam is investigated. A Euler–Bernoulli beam is coupled to a distributed array of nonlinear spring–mass subsystems acting as local resonators/vibration absorbers. The dynamic behavior of the metamaterial beam is first investigated via the classical approach employed for periodic structures by which the frequency stop bands of the single cell are determined. Subsequently, the frequency response is obtained for the metamaterial beam to study a multi-frequency stop band system by adding an array of embedded nonlinear local resonators. A path following technique coupled with a differential evolutionary optimization algorithm is adopted to obtain the optimal frequency-response curves of the metamaterial beam in the nonlinear regime. The use of the local absorbers, via a proper tuning of their constitutive parameters, allows a significant reduction of the metamaterial beam oscillations associated with the lowest three vibration modes.

AB - In this work the multi-mode vibration absorption capability of a nonlinear metamaterial beam is investigated. A Euler–Bernoulli beam is coupled to a distributed array of nonlinear spring–mass subsystems acting as local resonators/vibration absorbers. The dynamic behavior of the metamaterial beam is first investigated via the classical approach employed for periodic structures by which the frequency stop bands of the single cell are determined. Subsequently, the frequency response is obtained for the metamaterial beam to study a multi-frequency stop band system by adding an array of embedded nonlinear local resonators. A path following technique coupled with a differential evolutionary optimization algorithm is adopted to obtain the optimal frequency-response curves of the metamaterial beam in the nonlinear regime. The use of the local absorbers, via a proper tuning of their constitutive parameters, allows a significant reduction of the metamaterial beam oscillations associated with the lowest three vibration modes.

KW - Metamaterial beam

KW - Multi-mode control

KW - Nonlinear vibration damping

KW - Vibration absorbers

UR - http://www.scopus.com/inward/record.url?scp=85033676200&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85033676200&partnerID=8YFLogxK

U2 - 10.1016/j.ijnonlinmec.2017.10.002

DO - 10.1016/j.ijnonlinmec.2017.10.002

M3 - Article

AN - SCOPUS:85033676200

VL - 98

SP - 32

EP - 42

JO - International Journal of Non-Linear Mechanics

JF - International Journal of Non-Linear Mechanics

SN - 0020-7462

ER -