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Published in: Archive of Applied Mechanics 2/2021

13-10-2020 | Original

Shunted piezoelectric patches on auxetic microstructures for the enhancement of band gaps

Authors: Panagiotis I. Koutsianitis, Georgios K. Tairidis, Georgios E. Stavroulakis

Published in: Archive of Applied Mechanics | Issue 2/2021

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Abstract

Certain frequency ranges where waves do not propagate, and thus, vibrations are suppressed, are called band gaps. In the present paper, the appearance and the behavior of such areas are investigated on star-shaped auxetic microstructures, which are equipped with shunted piezoelectric elements. The optimal position of the piezoelectric patches is found using genetic algorithms, considering the maximization of the electromechanical coupling coefficient. A genetic algorithm is also used for the calculation of the values of the electrical parameters of the resonant shunt circuit, with objective the maximization of certain band gaps. The results indicate that the proposed technique can be used for the maximization of band gaps at certain frequency ranges, as well as at frequency bands which have not been considered in the optimization problem of the mechanical microstructure.

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Literature
1.
go back to reference Bloch, F.: Über die Quantenmechanik der Elektronen in Kristallgittern. Z. Phys. 52, 555–600 (1928)CrossRef Bloch, F.: Über die Quantenmechanik der Elektronen in Kristallgittern. Z. Phys. 52, 555–600 (1928)CrossRef
2.
go back to reference Floquet, G.: Sur les équations différentielles linéaires à coefficients périodiques. Ann. Sci. Norm. Supérieure 12, 47–88 (1883)MathSciNetCrossRef Floquet, G.: Sur les équations différentielles linéaires à coefficients périodiques. Ann. Sci. Norm. Supérieure 12, 47–88 (1883)MathSciNetCrossRef
3.
go back to reference Phani, A.S., Woodhouse, J., Fleck, N.A.: Wave propagation in two-dimensional periodic lattices. J. Acoust. Soc. Am. 119, 1995–2005 (2006)CrossRef Phani, A.S., Woodhouse, J., Fleck, N.A.: Wave propagation in two-dimensional periodic lattices. J. Acoust. Soc. Am. 119, 1995–2005 (2006)CrossRef
5.
go back to reference El Sherbiny, M.G., Placidi, L.: Discrete and continuous aspects of some metamaterial elastic structures with band gaps. Arch. Appl. Mech. 88, 1725–1742 (2018)CrossRef El Sherbiny, M.G., Placidi, L.: Discrete and continuous aspects of some metamaterial elastic structures with band gaps. Arch. Appl. Mech. 88, 1725–1742 (2018)CrossRef
6.
go back to reference Sun, Y., Yu, Y., Zuo, Y., Qiu, L., Dong, M., Ye, J., Yang, J.: Band gap and experimental study in phononic crystals with super-cell structure. Results Phys. 13, 102200 (2019)CrossRef Sun, Y., Yu, Y., Zuo, Y., Qiu, L., Dong, M., Ye, J., Yang, J.: Band gap and experimental study in phononic crystals with super-cell structure. Results Phys. 13, 102200 (2019)CrossRef
7.
go back to reference Dong, H.W., Su, X.X., Wang, Y.S., Zhang, C.: Topology optimization of two-dimensional asymmetrical phononic crystals. Phys. Lett. A 378, 434–441 (2014)CrossRef Dong, H.W., Su, X.X., Wang, Y.S., Zhang, C.: Topology optimization of two-dimensional asymmetrical phononic crystals. Phys. Lett. A 378, 434–441 (2014)CrossRef
8.
go back to reference Zhang, Z., Li, Y.F., Meng, F., Huang, X.: Topological design of phononic band gap crystals with sixfold symmetric hexagonal lattice. Comput. Mater. Sci. 139, 97–105 (2017)CrossRef Zhang, Z., Li, Y.F., Meng, F., Huang, X.: Topological design of phononic band gap crystals with sixfold symmetric hexagonal lattice. Comput. Mater. Sci. 139, 97–105 (2017)CrossRef
9.
go back to reference He, J., Huang, H.: Complete vibrational bandgap in thin elastic metamaterial plates with periodically slot-embedded local resonators. Arch. Appl. Mech. 88, 1263–1274 (2018)CrossRef He, J., Huang, H.: Complete vibrational bandgap in thin elastic metamaterial plates with periodically slot-embedded local resonators. Arch. Appl. Mech. 88, 1263–1274 (2018)CrossRef
10.
go back to reference Heuss, O., Salloum, R., Mayer, D., Melz, T.: Tuning of a vibration absorber with shunted piezoelectric transducers. Arch. Appl. Mech. 86, 1715–1732 (2016)CrossRef Heuss, O., Salloum, R., Mayer, D., Melz, T.: Tuning of a vibration absorber with shunted piezoelectric transducers. Arch. Appl. Mech. 86, 1715–1732 (2016)CrossRef
11.
go back to reference Giorgio, I., Culla, A., Del Vescovo, D.: Multimode vibration control using several piezoelectric transducers shunted with a multiterminal network. Arch. Appl. Mech. 79, 859 (2009)CrossRef Giorgio, I., Culla, A., Del Vescovo, D.: Multimode vibration control using several piezoelectric transducers shunted with a multiterminal network. Arch. Appl. Mech. 79, 859 (2009)CrossRef
12.
go back to reference Tairidis, G.K.: Vibration control of smart composite structures using shunted piezoelectric systems and neuro-fuzzy techniques. J. Vib. Control 25, 2397–2408 (2019)MathSciNetCrossRef Tairidis, G.K.: Vibration control of smart composite structures using shunted piezoelectric systems and neuro-fuzzy techniques. J. Vib. Control 25, 2397–2408 (2019)MathSciNetCrossRef
13.
go back to reference Koutsianitis, P.I., Tairidis, G.K., Drosopoulos, G.A., Stavroulakis, G.E.: Conventional and star-shaped auxetic materials for the creation of band gaps. Arch. Appl. Mech. 89, 2545–2562 (2019)CrossRef Koutsianitis, P.I., Tairidis, G.K., Drosopoulos, G.A., Stavroulakis, G.E.: Conventional and star-shaped auxetic materials for the creation of band gaps. Arch. Appl. Mech. 89, 2545–2562 (2019)CrossRef
14.
go back to reference Curie, J., Curie, P.: Développement par compression de l’électricité polaire dans les cristaux hémièdres à faces inclinées. Bull. Soc. minérologique Fr. 3, 90–93 (1880)CrossRef Curie, J., Curie, P.: Développement par compression de l’électricité polaire dans les cristaux hémièdres à faces inclinées. Bull. Soc. minérologique Fr. 3, 90–93 (1880)CrossRef
15.
go back to reference Lippmann, G.: Principe de la conservation de l’ électricité. Ann. Chimie Phys. 24, 145 (1881) Lippmann, G.: Principe de la conservation de l’ électricité. Ann. Chimie Phys. 24, 145 (1881)
16.
go back to reference Moheimani, R.S., Fleming, A.J.: Piezoelectric Transducers for Vibration Control and Damping. Springer, London (2006)MATH Moheimani, R.S., Fleming, A.J.: Piezoelectric Transducers for Vibration Control and Damping. Springer, London (2006)MATH
17.
go back to reference Thomas, O., Deü, J.-F., Ducarne, J.: Vibrations of an elastic structure with shunted piezoelectric patches: efficient finite element formulation and electromechanical coupling coefficients. Int. J. Numer. Methods Eng. 80, 235–268 (2009)MathSciNetCrossRef Thomas, O., Deü, J.-F., Ducarne, J.: Vibrations of an elastic structure with shunted piezoelectric patches: efficient finite element formulation and electromechanical coupling coefficients. Int. J. Numer. Methods Eng. 80, 235–268 (2009)MathSciNetCrossRef
18.
go back to reference Preumont, A.: Vibration Control of Active Structures. Solid Mechanics and Its Applications. Springer, Cham (2018)CrossRef Preumont, A.: Vibration Control of Active Structures. Solid Mechanics and Its Applications. Springer, Cham (2018)CrossRef
19.
go back to reference Marakakis, K., Tairidis, G.K., Koutsianitis, P., Stavroulakis, G.E.: Shunt piezoelectric systems for noise and vibration control: a review. Front Built Environ. 5, 64 (2019)CrossRef Marakakis, K., Tairidis, G.K., Koutsianitis, P., Stavroulakis, G.E.: Shunt piezoelectric systems for noise and vibration control: a review. Front Built Environ. 5, 64 (2019)CrossRef
20.
go back to reference Ducarne, J., Thomas, O., Deü, J.-F.: Structural vibration reduction by Swith shunting of piezoelectric elements: modelling and optimization. J. Intell. Mater. Syst. Struct. 21, 797–816 (2010)CrossRef Ducarne, J., Thomas, O., Deü, J.-F.: Structural vibration reduction by Swith shunting of piezoelectric elements: modelling and optimization. J. Intell. Mater. Syst. Struct. 21, 797–816 (2010)CrossRef
21.
go back to reference de Marneffe, B., Preumont, A.: Vibration damping with negative capacitance shunts: theory and experiment. Smart Mater. Struct. 17, 035015 (2008)CrossRef de Marneffe, B., Preumont, A.: Vibration damping with negative capacitance shunts: theory and experiment. Smart Mater. Struct. 17, 035015 (2008)CrossRef
22.
go back to reference Sugino, C., Ruzzene, M., Erturk, A.: Design and analysis of piezoelectric metamaterial beams with synthetic impedance shunt circuits. IEEE/ASME Trans. Mechatron. 23, 2144–2155 (2018)CrossRef Sugino, C., Ruzzene, M., Erturk, A.: Design and analysis of piezoelectric metamaterial beams with synthetic impedance shunt circuits. IEEE/ASME Trans. Mechatron. 23, 2144–2155 (2018)CrossRef
23.
go back to reference Zhou, W., Wu, Y., Zuo, L.: Vibration and wave propagation attenuation for metamaterials by periodic piezoelectric arrays with high-order resonant circuit shunts. Smart Mater. Struct. 24, 065021 (2015)CrossRef Zhou, W., Wu, Y., Zuo, L.: Vibration and wave propagation attenuation for metamaterials by periodic piezoelectric arrays with high-order resonant circuit shunts. Smart Mater. Struct. 24, 065021 (2015)CrossRef
24.
go back to reference Tairidis, G.K., Marakakis, K., Koutsianitis, P., Foutsitzi, G., Deü, J.-F., Stavroulakis, G.E., Ohayon, R.: Vibration control of smart composite plates using shunted piezoelectric elements. In: Benjeddou, A., Mechbal, N., Deü, J.-F. (eds.) 9th ECCOMAS Thematic Conference on Smart Structures and Materials, SMART 2019, Paris, France, 8–11 (July 2019) Tairidis, G.K., Marakakis, K., Koutsianitis, P., Foutsitzi, G., Deü, J.-F., Stavroulakis, G.E., Ohayon, R.: Vibration control of smart composite plates using shunted piezoelectric elements. In: Benjeddou, A., Mechbal, N., Deü, J.-F. (eds.) 9th ECCOMAS Thematic Conference on Smart Structures and Materials, SMART 2019, Paris, France, 8–11 (July 2019)
25.
go back to reference Kaminakis, N.T., Drosopoulos, G.A., Stavroulakis, G.E.: Design and verification of auxetic microstructures using topology optimization and homogenization. Arch. Appl. Mech. 85, 1289–1306 (2015)CrossRef Kaminakis, N.T., Drosopoulos, G.A., Stavroulakis, G.E.: Design and verification of auxetic microstructures using topology optimization and homogenization. Arch. Appl. Mech. 85, 1289–1306 (2015)CrossRef
26.
go back to reference Collet, M., Ouisse, M., Ruzzene, M., Ichchou, M.N.: Floquet–Bloch decomposition for the computation of dispersion of two-dimensional periodic damped mechanical systems. Int. J. Solids Struct. 48, 2837–2848 (2011)CrossRef Collet, M., Ouisse, M., Ruzzene, M., Ichchou, M.N.: Floquet–Bloch decomposition for the computation of dispersion of two-dimensional periodic damped mechanical systems. Int. J. Solids Struct. 48, 2837–2848 (2011)CrossRef
27.
go back to reference Giorgio, I., Culla, A., Del Vescovo, D.: Multimode vibration control using several piezoelectric transducers shunted with a multiterminal network. Arch. Appl. Mech. 79, 859–879 (2009)CrossRef Giorgio, I., Culla, A., Del Vescovo, D.: Multimode vibration control using several piezoelectric transducers shunted with a multiterminal network. Arch. Appl. Mech. 79, 859–879 (2009)CrossRef
Metadata
Title
Shunted piezoelectric patches on auxetic microstructures for the enhancement of band gaps
Authors
Panagiotis I. Koutsianitis
Georgios K. Tairidis
Georgios E. Stavroulakis
Publication date
13-10-2020
Publisher
Springer Berlin Heidelberg
Published in
Archive of Applied Mechanics / Issue 2/2021
Print ISSN: 0939-1533
Electronic ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-020-01804-1

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