Eventos Anais de eventos
COBEM 2023
27th International Congress of Mechanical Engineering
A strategy to form super attenuation bands in beams using arrays of resonators
Submission Author:
Vinicius Germanos Cleante , SP , Brazil
Co-Authors:
Vinicius Germanos Cleante, Domingos Rade, Michael Brennan, Paulo José Paupitz Gonçalves, Jean Paulo Carneiro Junior
Presenter: Vinicius Germanos Cleante
doi://10.26678/ABCM.COBEM2023.COB2023-1845
Abstract
The design of a meta-structure using mechanical vibration absorbers (resonators) to improve the vibration reduction of the system and its surroundings has been an active research topic lately. Typically, the interaction between the host structure and the vibration absorbers simultaneously creates a scattering mechanism and adds an anti-resonance to the frequency response of the structure. This latter mechanism makes these devices attractive as they can be designed to operate in a wide range of frequencies. However, since the width of the attenuation band is usually small, a large vibration absorber mass is required. To overcome this issue, one design strategy that has attracted attention is the combination of both effects to form a wide attenuation band, called super attenuation band. Recent works in finite mono-coupled structures with an array of equally spaced vibration absorbers have shown that when correctly tuned, the two effects are combined and form a super attenuation band. However, when this structural design is applied to a periodic beam, the effectiveness of creating such a super attenuation band has not been achieved due to the multi-coupling mechanism of the host structure. This paper investigates a strategy to form a super attenuation band in a meta-structure comprising a beam with an array of vibration absorbers attached at arbitrary positions of the host structure. The main objective is to determine the physical factors that govern the attenuation band and how to obtain it. Using the dynamic stiffness and receptance methods, the transversal displacement transmissibility for a beam with a single resonator is determined and the effect of the attachment position is investigated numerically. Analytical expressions are derived to support the numerical investigation of the effect of changing the vibration absorbers natural frequency. This analysis is extended for a beam structure with an array of resonators attached at arbitrary positions. The results show that the smooth super attenuation band can only occur when each optimally tuned vibration absorber is attached to a position where the beam exhibits a nodal point.
Keywords
super attenuation band, Meta-structure, Resonators
