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Research paper

PARAMETRIC INVESTIGATION OF BAND GAP EFFECTS IN CHIRAL MICROSTRUCTURES

By
Panagiotis Koutsianitis ,
Panagiotis Koutsianitis
Georgios K. Tairidis ,
Georgios K. Tairidis
Alexandros Kougkoulos ,
Alexandros Kougkoulos
Georgios E. Stavroulakis
Georgios E. Stavroulakis

Abstract

Vibration suppression has been thoroughly studied in the last few years. A number of methods has been proposed for this purpose. An evolving method lies in the search of band gap regions, that is, certain frequency ranges where vibrations are isolated. In the present investigation, a periodic unit cell of a chiral metamaterial has been created in order to study its dynamic behavior and how this affects the wave propagation into a lattice structure consisting of repeated chiral microstructures. Each cell represents a composite structure consisted by a soft matrix with hard connector wings and a circular core. The system is studied by plane stress finite elements. The design parameters of the structure that define the shape and the material are modified in order to study the changes at the appearance of the band gap areas. In addition, results of the dynamic response of the structure in the frequency domain will be presented in order to show the magnitude of the vibration reduction that can be achieved in a specific frequency range.

References

1.
Askari M, Hutchins D, Thomas P, Astolfi L, Watson R, Abdi M, et al. Additive manufacturing of metamaterials: A review. Additive Manufacturing. 2020;101562.
2.
Bacigalupo A, Belis D, M. Auxetic anti-tetrachiral materials: Equivalent elastic properties and frequency band-gaps, Composite Structures. 2015;530–44.
3.
Bacigalupo A, Lepidi M, Gnecco G, Vadalà F, Gambarotta L. Optimal Design of the Band Structure for Beam Lattice Metamaterials. Frontiers in Materials. 2019;2.
4.
Bloch F. Über die Quantenmechanik der Elektronen in Kristallgittern. Zeitschrift für Physik. 1928;555–600.
5.
Brillouin L. Wave Propagation in periodic structures. 1953;
6.
Chen L, Guo Y, Yi H. Optimization study of bandgaps properties for two-dimensional chiral phononic crystals base on lightweight design. Physics Letters A. 2021;127054.
7.
Chen W, Tian X, Gao R, Liu S. A low porosity perforated mechanical metamaterial with negative Poisson’s ratio and band gaps. Smart Materials and Structures. 2018;115010.
8.
Duncan O, Shepherd T, Moroney C, Foster L, Venkatraman P, Winwood K, et al. Review of auxetic materials for sports applications: Expanding options in comfort and protection. Applied Sciences. 2018;941.
9.
Fei X, Jin L, Zhang X, Li X, Lu M. Three-dimensional anti-chiral auxetic metamaterial with tunable phononic bandgap. Applied Physics Letters. 2020;21902.
10.
Floquet G. Sur les équations différentielles linéaires à coefficients périodiques. Annales Scientifiques de l’école Normale Supérieure. 1883;47–88.
11.
Hosseinkhani A, Younesian D, Ranjbar M, Scarpa F. Enhancement of the vibro-acoustic performance of anti-tetra-chiral auxetic sandwich panels using topologically optimized local resonators. Applied Acoustics. 2021;107930.
12.
Hsiang-Wen T, Wei-Di C, Wen L, C. Wave propagation in the polymer-filled starshaped honeycomb periodic structure. Applied Physics A. 2017;523.
13.
Kittel C. Elementary solid-state physics: A Short Course. 1st ed. 1962;
14.
Koutsianitis P, Tairidis G, Drosopoulos G, Stavroulakis G. Conventional and starshaped auxetic materials for the creation of band gaps. Archive of Applied Mechanics. 2019;2545–62.
15.
Koutsianitis P, Tairidis G, Stavroulakis G. Shunted piezoelectric patches on auxetic microstructures for the enhancement of band gaps. Archive of Applied Mechanics. 2021;739–51.
16.
Ma Y, Scarpa F, Zhang D, Zhu B, Chen L, Hong J. A nonlinear auxetic structural vibration damper with metal rubber particles. Smart Materials and Structures. 2013;84012.
17.
Mace B, Manconi E. Modelling wave propagation in two-dimensional structures using finite element analysis. Journal of Sound and Vibrations. 2008;884–902.
18.
Matlack K, Bauhofer A, Krödel S, Palermo A, Daraio C. Composite 3D-printed metastructures for low-frequency and broadband vibration absorption. Proceedings of the National Academy of Sciences of the United States of America. 2016;8386–90.
19.
Maurin F, Claeys C, Deckers E, Desmet W. Probability that a band-gap extremum is located on the irreducible Brillouin-zone contour for the 17 different plane crystallographic lattices. International Journal of Solids and Structures. 2018;26–36.
20.
Meng J, Deng Z, Zhang K, Xu X, Wen F. Band gap analysis of star-shaped honeycombs with varied Poisson’s ratio, Smart Materials and Structures. 2015;95011.
21.
Outzen L, Koutsianitis P, Novajan A, Tairidis G, Langer S, Stavroulakis G. Band gap analysis of classical and auxetic composites. 2019;
22.
Qi D, Yu H, Hu W, He C, Wu W, Ma Y. Bandgap and wave attenuation mechanisms of innovative reentrant and anti-chiral hybrid auxetic metastructure, Extreme Mechanics Letters. 2019;58–68.
23.
Spadoni A, Ruzzene M, Gonella S, Scarpa F. Phononic properties of hexagonal chiral lattices. Wave Motion. 2009;435–50.
24.
Phani S, Woodhouse A, Fleck J, N. Wave propagation in two-dimensional periodic lattices. The Journal of the Acoustical Society of America. 2006;
25.
Wu W, Hu W, Qian G, Liao H, Xu X, Berto F. Mechanical design and multifunctional applications of chiral mechanical metamaterials: A review. Materials & Design. 2019;107950.
26.
Xin Y, Wang H, Wang C, Cheng S, Zhao Q, Sun Y, et al. Properties and tunability of band gaps in innovative reentrant and star-shaped hybrid honeycomb metamaterials. Results in Physics. 2021;104024.
27.
Yilmaz. Inertial Amplification Induced Phononic Band Gaps in a Chiral Elastic Metamaterial. 2018;451–3.

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