eprintid: 3788
rev_number: 7
eprint_status: archive
userid: 69
dir: disk0/00/00/37/88
datestamp: 2017-09-18 12:18:33
lastmod: 2017-09-18 12:18:33
status_changed: 2017-09-18 12:18:33
type: conference_item
metadata_visibility: show
creators_name: Vadalà, Francesca
creators_name: Bacigalupo, Andrea
creators_name: Lepidi, Marco
creators_name: Gambarotta, Luigi
creators_id: 
creators_id: andrea.bacigalupo@imtlucca.it
creators_id: 
creators_id: 
title: Analytical and computational methods for modeling mechanical filters against bloch wave propagation
ispublished: pub
subjects: TA
subjects: TH
divisions: CSA
full_text_status: none
pres_type: paper
abstract: The free propagation of elastic waves through periodic microstructured materials
can be studied by the analytical formulation of beam lattice models for the elementary cell, in
combination with the Floquet-Bloch theory. Within this framework, the present paper deals
with periodic tetrachiral materials characterized by a monoatomic cell. Alternative analytical
formulations can be developed by continualization-homogenization techniques in micropolar
equivalent continua, characterized by overall elastic and inertial tensors. Valid approaches
for the solution of the wave propagation problems are offered by perturbation methods, numerical
continuation techniques, and – finally – computational analyses, suited to account for
some mechanical updates or improvements that can hardly be included in synthetic formulations.
Based on these considerations, the dispersion curves achievable by different formulations
are compared and discussed. The major interest is focused on the spectral effects
determined by changes in the geometry, inertia, elasticity of the microstructural elements and,
finally, by variations in the cellular symmetry. Some attention is paid to the parameter combinations,
which might open band gaps in the low-frequency range, useful to filter undesired
dynamic signals for vibration shielding purposes.
date: 2017
date_type: published
publisher: AIMETA
pagerange: 2041-2051
event_title: 23° Conference of the Italian association of theoretical and applied mechanics - AIMETA2017
event_location: Salerno, Italy
event_dates: September 4-7, 2017
event_type: conference
refereed: TRUE
isbn: 978-889-42484-7-0
book_title: Proceedings of the 23° Conference of the Italian association of theoretical and applied mechanics - AIMETA2017
official_url: http://www.aimeta.dicam.unibo.it/sites/www.aimeta.dicam.unibo.it/files/Aimeta2017_volume5.pdf
citation:   Vadalà, Francesca and Bacigalupo, Andrea and Lepidi, Marco and Gambarotta, Luigi  Analytical and computational methods for modeling mechanical filters against bloch wave propagation.  In: 23° Conference of the Italian association of theoretical and applied mechanics - AIMETA2017, September 4-7, 2017, Salerno, Italy pp. 2041-2051.  ISBN 978-889-42484-7-0.      (2017)