Cardiff University | Prifysgol Caerdydd ORCA
Online Research @ Cardiff 
WelshClear Cookie - decide language by browser settings

Band-gap shift and defect-induced annihilation in prestressed elastic structures

Gei, Massimiliano, Movchan, A. B. and Bigoni, D. 2009. Band-gap shift and defect-induced annihilation in prestressed elastic structures. Journal of Applied Physics 105 (6) , 063507. 10.1063/1.3093694

Full text not available from this repository.

Abstract

Design of filters for electromagnetic, acoustic, and elastic waves involves structures possessing photonic/phononic band gaps for certain ranges of frequencies. Controlling the filtering properties implies the control over the position and the width of the band gaps in question. With reference to piecewise homogeneous elasticbeams on elastic foundation, these are shown to be strongly affected by prestress (usually neglected in these analyses) that (i) “shifts” band gaps toward higher (lower) frequencies for tensile (compressive) prestress and (ii) may “annihilate” certain band gaps in structures with defects. The mechanism in which frequency is controlled by prestress is revealed by employing a Green’s-function-based analysis of localized vibration of a concentrated mass, located at a generic position along the beam axis. For a mass perturbing the system, our analysis addresses the important issue of the so-called effective negative mass effect for frequencies within the stop bands of the unperturbed structure. We propose a constructive algorithm of controlling the stop bands and hence filtering properties and resonance modes for a class of elastic periodic structures via prestress incorporated into the model through the coefficients in the corresponding governing equations.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Engineering
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Publisher: American Institute of Physics
ISSN: 0021-8979
Last Modified: 04 Jun 2017 08:11
URI: http://orca.cf.ac.uk/id/eprint/74047

Citation Data

Cited 58 times in Scopus. View in Scopus. Powered By Scopus® Data

Actions (repository staff only)

Edit Item Edit Item