Design of biperiodic metastructures for vibroacoustic energy trapping and harvesting

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    Institut FEMTO-ST
    Computer scienceDigital systems
    First Stage Researcher (R1)
    Recognised Researcher (R2)
    Established Researcher (R3)
    Leading Researcher (R4)
    31/05/2020 00:00 - Europe/Brussels
    France › Besançon

1. Context


The deviation of linear periodic structures (imperfections) from the ideal has been observed to cause Anderson localization1 for which the energy is confined near the disorder and the dynamic behavior of the structure changes. This phenomenon has attracted much recent attention in many applications in physics because of its important role in the qualification as well as quantification of system operations2. Particularly, in mechanical, civil and aerospace engineering, Mester and Benaroya3 addressed a large review for different methods of analysis of linear periodic and near-periodic structures. To our knowledge, the research of the "metamaterials" scientific community is mainly concerned by the passive and/or active functionalization of the periodicity and its impacts on structural damping and band-gap in vibroacoustic problems4, 5.


Moreover, one of the most popular localization phenomena, that have attracted the interest of physicists, is the nonlinear energy localization. Such localized energy excitations, called intrinsic localized modes (ILMs), also known as "discrete breathers" or "lattice solitons"can occur in defect-free periodic nonlinear structures6, 7, and have an exceptional stability against disturbances8. Therefore, solitons play a fundamental role in the properties of energy transport for a variety of fields such as optics, acoustics, and hydraulics. In mechanical engineering, among several periodic structures, the coupled pendulums have been the first focus of intensive research for more than thirty years and from different points of view, mainly in terms of nonlinear dynamics and intrinsic localized modes9, 10. The second focus deals with granular media to study the wave propagation and Hertzian contact11, 12. It has been particularly shown that homogeneous granular chains possess complex nonlinear dynamics, including nonlinear energy transfer and localization phenomena13, and that the speed of propagation of the traveling waves is smaller than the corresponding speed of the soliton14.


Among the large literature dedicated to the periodic or near-periodic structures, to our knowledge only few studies have dealt with the bi-periodicity, initially proposed by Mc Daniel15, and are focused on the analysis of the band gap with and without disorder for linear structures16. Including nonlinearities in such structures could lead to a complex vibroacoustic behavior for which a dynamic analysis becomes challenging. These fundamental problematics will be addressed for the enhancement and robustness of Vibration Energy Harvester (VEH) performances17, 18, 19, 20 using piezoelectric transducers based on Lithium Niobate (LiNbO3)21,22. Unlike PZT, LiNbO3 does not contain plumb and can operate in extreme conditions of temperature23, which is suitable for several applications such as pollution surveillance and SHM.


2. Objective

The objective of the PhD thesis is to develop innovative design of smart systems based on bi-periodic patterns by combining at two scales: (i) structure scale, near-periodicity which enables to confine the energy close to the imperfections (ii) interface scale, periodicity or structured interface which opens new capabilities in the design of filtering devices for elastic waves and may prelude the possibility of obtaining high-resolution focusing properties for elastodynamic waves24-25 (iii) distributed or localized nonlinearities allowing the creation of multimode solution branches to enlarge the frequency bandwidth26 and formation of solitons for energy transport improvement10. These properties will be highlighted through the implementation and experimental characterization of a VEH prototype based on resonant piezoelectric MEMS arrays.

References (non-exhaustive list)


[1] P. W. Anderson, Physical Review, 109, 1492–1505 (1958)

[2] P. Thiruvenkatanathan et al., Appl. Phys. Lett., 96, 081913 (2010)

[3] S. S. Mester and H. Benaroya, Shock and Vibration, 2(1), 69-95 (1995)

[4] G. Huang and C. Sun, Journal of Vibration and Acoustics, 132(3), 031003 (2010)

[5] O. Thorp, M. Ruzzene and A. Baz, Smart Mater. Struct., 10(5), 979 (2001)

[6] E. Kenig, B. A. Malomed, M. C. Cross, and R. Lifshitz, Physical review E, 80, 046202 (2009)

[7] J. Cuevas, L. Q. English, P. G. Kevrekidis, and M. Anderson, Phys. Rev. Lett., 102, 224101 (2009)

[8] N. Alexeeva, I. Barashenkov, G. Tsironis, Physical review letters, 84 (14), 3053 (2000)

[9] T. Ikeda et al., Journal of Computational and Nonlinear Dynamics, 10(2), 021007 (2015)

[10] A. Jallouli, N. Kacem and N. Bouhaddi, Comm. Nonlinear Sci. Numer. Simulat., 42, 1–11 (2017)

[11] N. Boechler et al., Physical review letters, 104(24), 244302 (2010)

[12] S. Job, F. Santibanez, F. Tapia, and F. Melo, Physical review E, 80, 025602(R) (2009)

[13] Y. Starosvetsky and A. F. Vakakis, Physical review E, 82, 026603 (2010)

[14] V. Nesterenko, Dynamics of Heterogeneous Materials (Springer, New York, 2001)

[15] T. J. McDaniel, M. J. Carroll, Journal of Sound and Vibration, 81(3), 311–335 (1982)

[16] C.W. Cai, J.K. Liu, H.C. Chan, Journal of Sound and Vibration, 262(5), 1133–1152 (2003)

[17] S. Mahmoudi, N. Kacem and N. Bouhaddi, Smart Mater. Struct., 23(7), 075024 (2014)

[18] I. Abed, N. Kacem, N. Bouhaddi and M-L. Bouazizi, Smart Mater. Struct., 25, 025018 (2016)

[19] C. Drezet, N. Kacem and N. Bouhaddi, Sensors and Actuators A: Physical, 283, 54-64 (2018)

[20] Z. Zergoune, N. Kacem and N. Bouhaddi, Smart Mater. Struct., 28, 07LT02 (2019)

[21] A. Bartasyte et al., Materials Chemistry and Physics, 149–150, 622-631 (2015)

[22] A. Bartasyte et al., Advanced Materials Interfaces, 4(8), 1600998 (2017)

[23] A. Baba, C. T. Searfass and B. R. Tittmann, Appl. Phys. Lett., 97(23), 232901 (2010)

[24] D. Bigoni and A.B. Movchan, Int. J. Solids Struct., 39(19), 4843–4865 (2002)

[25] M. Brun et al., Journal of the Mechanics and Physics of Solids, 58(9), 1212–1224 (2010)

[26] D. Bitar, N. Kacem, N. Bouhaddi and M. Collet, Nonlinear Dynamics, 82(1), 749–766 (2015)

Funding category: Autre financement public

ANR / Région Bourgogne Franche_Comté

PHD title: Sciences Pour l'Ingénieur , spécialité Mécanique

PHD Country: France

Offer Requirements

Specific Requirements

Candidate Profile


The candidate should have a master degree in applied mechanics, physics or applied mathematics. He have to prove his relevant knowledge in the following disciplines: vibrations, nonlinear dynamics and advanced numerical methods. The candidate must perform extensive computer simulations and data analysis. A disposition for numerical work and programming is required. Proficiency in English is important.

Work location(s)
1 position(s) available at
Institut FEMTO-ST

EURAXESS offer ID: 509198
Posting organisation offer ID: 91071


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