Metamaterial beam with embedded nonlinear vibration absorbers. (January 2018)

• Record Type: Journal Article
• Authors: Casalotti, Arnaldo; El-Borgi, Sami; Lacarbonara, Walter
• Is Part Of: International journal of non-linear mechanics. Volume 98(2018)
• Page Start: 32
• Page End: 42
• Publication Date: 2018-01
• Subjects: Metamaterial beam -- Vibration absorbers -- Nonlinear vibration damping -- Multi-mode control; Nonlinear mechanics -- Periodicals; Mécanique non linéaire -- Périodiques; Nonlinear mechanics; Periodicals; 531
• DOI: 10.1016/j.ijnonlinmec.2017.10.002
• Languages: English
• ISSNs: 0020-7462

Abstract

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. Highlights: The multi-mode vibration absorption of nonlinear metamaterial beams is investigated. The frequency stop bands of the single cell are first determined. Multi-frequency stop bands are obtained by adding the nonlinear local resonators. The nonlinear frequency-response is determined via a path following approach. An optimization algorithm is adopted to increase the system performance.