References
- N. Fleck, V. Deshpande, and M. Ashby, Micro-architectured materials: Past, present and future, Proc. R Soc. A, vol. 466, no. 2121, pp. 2495–2516, 2010. DOI: https://doi.org/10.1098/rspa.2010.0215.
- M. F. Ashby and D. R. H. Jones, Engineering Materials 1: An Introduction to Properties, Applications and Design, Vol. 1, Elsevier, Oxford, United Kingdom, 2012.
- F. Libonati and M. J. Buehler, Advanced structural materials by bioinspiration, Adv. Eng. Mater., vol. 19, no. 5, p. 1600787, 2017. DOI: https://doi.org/10.1002/adem.201600787.
- J. Bauer, et al. , Approaching theoretical strength in glassy carbon nanolattices, Nat. Mater., vol. 15, no. 4, pp. 438–443, 2016. DOI: https://doi.org/10.1038/nmat4561.
- A. Vyatskikh, et al., Additive manufacturing of 3D nano-architected metals, Nat. Commun., vol. 9, no. 1, pp. 593, 2018. DOI: https://doi.org/10.1038/s41467-018-03071-9.
- D. Jang and J. R. Greer, Transition from a strong-yet-brittle to a stronger-and-ductile state by size reduction of metallic glasses, Nat. Mater., vol. 9, no. 3, pp. 215–219, 2010. DOI: https://doi.org/10.1038/nmat2622.
- H. Gao, et al., Materials become insensitive to flaws at nanoscale: Lessons from nature, Proc. Natl. Acad. Sci. USA, vol. 100, no. 10, pp. 5597–5600, 2003. DOI: https://doi.org/10.1073/pnas.0631609100.
- J. H. Lee, J. P. Singer, and E. L. Thomas , Micro-/nanostructured mechanical metamaterials, Adv. Mater., vol. 24, no. 36, pp. 4782–4810, 2012. DOI: https://doi.org/10.1002/adma.201201644.
- M. C. Moruzzi, M. Cinefra, and S. Bagassi, Vibroacoustic analysis of an innovative windowless cabin with metamaterial trim panels in regional turboprops, Mech. Adv. Mater. Struct., vol. 26, pp. 1–13, 2019.
- A. Srivastava, Elastic metamaterials and dynamic homogenization: A review, Int. J. Smart Nano Mater., vol. 6, no. 1, pp. 41–60, 2015. DOI: https://doi.org/10.1080/19475411.2015.1017779.
- G. Singh and A. Marwaha, A review of metamaterials and its applications, International Journal of Engineering Trends and Technology - IJETT, vol. 19, pp. 305–310, 2015.
- K. Kim and J. Ju, Mechanical metamaterials with 3D compliant porous structures, Compos. Struct., vol. 132, pp. 874–884, 2015. DOI: https://doi.org/10.1016/j.compstruct.2015.06.060.
- V. G. Veselago, The electrodynamics of substances with simultaneously negative values of ∊ and μ, Sov. Phys. Usp., vol. 10, no. 4, pp. 509–514, 1968. DOI: https://doi.org/10.1070/PU1968v010n04ABEH003699.
- T. A. Schaedler, et al., Ultralight metallic microlattices, Science, vol. 334, no. 6058, pp. 962–965, 2011. DOI: https://doi.org/10.1126/science.1211649.
- J. Li, et al., Experimental demonstration of an acoustic magnifying hyperlens, Nat. Mater., vol. 8, no. 12, pp. 931–934, 2009. DOI: https://doi.org/10.1038/nmat2561.
- Z. Liu, et al., Locally resonant sonic materials, Science, vol. 289, no. 5485, pp. 1734–1736, 2000. DOI: https://doi.org/10.1126/science.289.5485.1734.
- Z. Yang, et al., Membrane-type acoustic metamaterial with negative dynamic mass, Phys. Rev. Lett., vol. 101, no. 20, pp. 204301, 2008. DOI: https://doi.org/10.1103/PhysRevLett.101.204301.
- Z. Liu, C. T. Chan, and P. Sheng, Analytic model of phononic crystals with local resonances, Phys. Rev. B., vol. 71, no. 1, p. 014103, 2005. DOI: https://doi.org/10.1103/PhysRevB.71.014103.
- N. S. Bakhvalov and G. Panasenko, Homogenisation: Averaging Processes in Periodic Media: Mathematical Problems in the Mechanics of Composite Materials, Vol. 36, Springer Science & Business Media, Dordrecht, The Netherlands, 2012.
- V. V. Jikov, S. M. Kozlov, and O. A. Oleinik, Homogenization of Differential Operators and Integral Functionals, Springer Science & Business Media, Heidelberg, Germany, 2012.
- C. M. Soukoulis and M. Wegener, Past achievements and future challenges in the development of three-dimensional photonic metamaterials, Nature Photon., vol. 5, no. 9, pp. 523–530, 2011. DOI: https://doi.org/10.1038/nphoton.2011.154.
- C. Kane and T. Lubensky, Topological boundary modes in isostatic lattices, Nature Phys., vol. 10, no. 1, pp. 39–45, 2014. DOI: https://doi.org/10.1038/nphys2835.
- X. Yu, et al., Mechanical metamaterials associated with stiffness, rigidity and compressibility: A brief review, Prog. Mater. Sci., vol. 94, pp. 114–173, 2018. DOI: https://doi.org/10.1016/j.pmatsci.2017.12.003.
- X. Zhou, X. Liu, and G. Hu, Elastic metamaterials with local resonances: An overview, Theor. Appl. Mech. Lett., vol. 2, no. 4, p. 041001, 2012. DOI: https://doi.org/10.1063/2.1204101.
- L. Cveticanin, M. Zukovic, and D. Cveticanin, On the elastic metamaterial with negative effective mass, J. Sound Vib., vol. 436, pp. 295–309, 2018. DOI: https://doi.org/10.1016/j.jsv.2018.06.066.
- N. Fang, et al., Ultrasonic metamaterials with negative modulus, Nat. Mater., vol. 5, no. 6, pp. 452–456, 2006. DOI: https://doi.org/10.1038/nmat1644.
- M. Kadic, et al., 3D metamaterials, Nat. Rev. Phys., vol. 1, no. 3, pp. 198–210, 2019. DOI: https://doi.org/10.1038/s42254-018-0018-y.
- K. Bertoldi, et al., Flexible mechanical metamaterials, Nat. Rev. Mater., vol. 2, no. 11, p. 17066, 2017. DOI: https://doi.org/10.1038/natrevmats.2017.66.
- S. Alexander, Amorphous solids: their structure, lattice dynamics and elasticity, Phys. Rep., vol. 296, no. 2–4, pp. 65–236, 1998. DOI: https://doi.org/10.1016/S0370-1573(97)00069-0.
- A. Rafsanjani, A. Akbarzadeh, and D. Pasini, Snapping mechanical metamaterials under tension, Adv. Mater., vol. 27, no. 39, pp. 5931–5935, 2015. DOI: https://doi.org/10.1002/adma.201502809.
- R. L. Truby and J. A. Lewis, Printing soft matter in three dimensions, Nature, vol. 540, no. 7633, pp. 371–378, 2016.
- D. J. Inman, Vibration with Control, John Wiley & Sons, West Sussex, 2017.
- F. Fahy and J. Walker, Advanced Applications in Acoustics, Noise and Vibration, CRC Press, Trowbridge, Wiltshire, 2018.
- D. P. Jena, S. N. Panigrahi, and R. Kumar, Gear fault identification and localization using analytic wavelet transform of vibration signal, Measurement, vol. 46, no. 3, pp. 1115–1124, 2013. DOI: https://doi.org/10.1016/j.measurement.2012.11.010.
- H. Boudaoud, et al., A shell finite element for active-passive vibration control of composite structures with piezoelectric and viscoelastic layers, Mech. Adv. Mater. Struct., vol. 15, no. 3–4, pp. 208–219, 2008. DOI: https://doi.org/10.1080/15376490801907699.
- X. Wei, M. Zhu, and L. Jia, A semi-active control suspension system for railway vehicles with magnetorheological fluid dampers, Veh. Syst. Dyn., vol. 54, no. 7, pp. 982–1003, 2016. DOI: https://doi.org/10.1080/00423114.2016.1177189.
- B. Mace, Mechanical vibration: Analysis, uncertainties and control–Third edition. HH Benaroya and ML Nagurka CRC Press, Taylor and Francis Group, 2 Park Square, Milton Park, Abingdon, Oxon, OX14 4RN, UK, 2010. 960pp. Illustrated.£44.99, Aeronaut. J., vol. 115, no. 1172, pp. 650–650, 2011. ISBN 978-1-4200-8056-8. DOI: https://doi.org/10.1017/S0001924000006345.
- J. S. Moita, et al., Analysis of active-passive plate structures using a simple and efficient finite element model, Mech. Adv. Mater. Struct., vol. 18, no. 2, pp. 159–169, 2011. DOI: https://doi.org/10.1080/15376494.2010.496062.
- P. S. Balaji and K. Karthik SelvaKumar, Applications of nonlinearity in passive vibration control: A review, J. Vib. Eng. Technol., vol. 9, no. 2, pp. 183–213, 2021. DOI: https://doi.org/10.1007/s42417-020-00216-3.
- J. P. Amezquita-Sanchez, et al., Vibration control on smart civil structures: A review, Mech. Adv. Mater. Struct., vol. 21, no. 1, pp. 23–38, 2014. DOI: https://doi.org/10.1080/15376494.2012.677103.
- D. F. Ledezma-Ramírez, et al., Recent advances in shock vibration isolation: An overview and future possibilities, Appl. Mech. Rev., vol. 71, no. 6, pp. 060802-1–060802-23, 2019. DOI: https://doi.org/10.1115/1.4044190.
- Y. Wang, et al., Response and performance of a nonlinear vibration isolator with high-static-low-dynamic-stiffness under shock excitations, J. Vibroeng., vol. 16, no. 7, pp. 3382–3398, 2014.
- V. Smirnov and V. Mondrus, Comparison of linear and nonlinear vibration isolation system under random excitation, Procedia Eng., vol. 153, pp. 673–678, 2016. DOI: https://doi.org/10.1016/j.proeng.2016.08.221.
- K. V. Eluri, et al., Analysis of Whole Body Vibration of a Two-Wheeler Rider, SAE International, Detroit, US, 2019.
- W. Thomson, Theory of Vibration with Applications, CRC Press, London, England, 2018.
- S. Yang, et al., Ultrasound tunneling through 3D phononic crystals, Phys. Rev. Lett., vol. 88, no. 10, p. 104301, 2002. DOI: https://doi.org/10.1103/PhysRevLett.88.104301.
- M. Hirsekorn, et al., Modelling and simulation of acoustic wave propagation in locally resonant sonic materials, Ultrasonics, vol. 42, no. 1–9, pp. 231–235, 2004. DOI: https://doi.org/10.1016/j.ultras.2004.01.014.
- M. Collet, M. Ouisse, and F. Tateo, Adaptive metacomposites for vibroacoustic control applications, IEEE Sens. J., vol. 14, no. 7, pp. 2145–2152, 2014. DOI: https://doi.org/10.1109/JSEN.2014.2300052.
- L. Airoldi and M. Ruzzene, Design of tunable acoustic metamaterials through periodic arrays of resonant shunted piezos, New J. Phys., vol. 13, no. 11, p. 113010, 2011. DOI: https://doi.org/10.1088/1367-2630/13/11/113010.
- W. Akl and A. Baz, Multi-cell active acoustic metamaterial with programmable bulk modulus, J. Intell. Mater. Syst. Struct., vol. 21, no. 5, pp. 541–556, 2010. DOI: https://doi.org/10.1177/1045389X09359434.
- M. A. Nouh, O. J. Aldraihem, and A. Baz, Periodic metamaterial plates with smart tunable local resonators, J. Intell. Mater. Syst. Struct., vol. 27, no. 13, pp. 1829–1845, 2016. DOI: https://doi.org/10.1177/1045389X15615965.
- H. Huang, C. Sun, and G. Huang, On the negative effective mass density in acoustic metamaterials, Int. J. Eng. Sci., vol. 47, no. 4, pp. 610–617, 2009. DOI: https://doi.org/10.1016/j.ijengsci.2008.12.007.
- A. Søe-Knudsen, R. Darula, and S. Sorokin, Theoretical and experimental analysis of the stop-band behavior of elastic springs with periodically discontinuous of curvature, J. Acoust. Soc. Am., vol. 132, no. 3, pp. 1378–1383, 2012. DOI: https://doi.org/10.1121/1.4740480.
- J. Zhou, et al., Multi-low-frequency flexural wave attenuation in Euler–Bernoulli beams using local resonators containing negative-stiffness mechanisms, Phys. Lett. A, vol. 381, no. 37, pp. 3141–3148, 2017. DOI: https://doi.org/10.1016/j.physleta.2017.08.020.
- C. Sugino, et al., A general theory for bandgap estimation in locally resonant metastructures, J. Sound Vib., vol. 406, pp. 104–123, 2017. DOI: https://doi.org/10.1016/j.jsv.2017.06.004.
- C. H. Park and A. Baz, Vibration control of beams with negative capacitive shunting of interdigital electrode piezoceramics, J. Vib. Control, vol. 11, no. 3, pp. 331–346, 2005. DOI: https://doi.org/10.1177/107754605040949.
- N. W. Hagood and A. von Flotow, Damping of structural vibrations with piezoelectric materials and passive electrical networks, J. Sound Vib., vol. 146, no. 2, pp. 243–268, 1991. DOI: https://doi.org/10.1016/0022-460X(91)90762-9.
- R. L. Forward, Electronic damping of vibrations in optical structures, Appl. Opt., vol. 18, no. 5, pp. 690–697, 1979. DOI: https://doi.org/10.1364/AO.18.000690.
- F.-L. Hsiao, et al., Waveguiding inside the complete band gap of a phononic crystal slab, Phys. Rev. E Stat. Nonlin. Soft Matter Phys., vol. 76, no. 5 Pt 2, p. 056601, 2007. DOI: https://doi.org/10.1103/PhysRevE.76.056601.
- T.-T. Wu, et al., Evidence of complete band gap and resonances in a plate with periodic stubbed surface, Appl. Phys. Lett., vol. 93, no. 11, p. 111902, 2008. DOI: https://doi.org/10.1063/1.2970992.
- R. Zhu, et al., Experimental and numerical study of guided wave propagation in a thin metamaterial plate, Phys. Lett. A., vol. 375, no. 30–31, pp. 2863–2867, 2011. DOI: https://doi.org/10.1016/j.physleta.2011.06.006.
- K. Lu, et al., Flexural vibration bandgaps of the multiple local resonance elastic metamaterial plates with irregular resonators, Appl. Acoust., vol. 159, p. 107115, 2020. DOI: https://doi.org/10.1016/j.apacoust.2019.107115.
- J. Li, X. Fan, and F. Li, Numerical and experimental study of a sandwich-like metamaterial plate for vibration suppression, Compos. Struct., vol. 238, p. 111969, 2020. DOI: https://doi.org/10.1016/j.compstruct.2020.111969.
- J.-H. He and H.-H. Huang, Complete vibrational bandgap in thin elastic metamaterial plates with periodically slot-embedded local resonators, Arch. Appl. Mech., vol. 88, no. 8, pp. 1263–1274, 2018. DOI: https://doi.org/10.1007/s00419-018-1371-0.
- M. Reynolds and S. Daley, An active viscoelastic metamaterial for isolation applications, Smart Mater. Struct., vol. 23, no. 4, p. 045030, 2014. DOI: https://doi.org/10.1088/0964-1726/23/4/045030.
- F. Aghighi, J. Morris, and A. V. Amirkhizi, Low-frequency micro-structured mechanical metamaterials, Mech. Mater., vol. 130, pp. 65–75, 2019. DOI: https://doi.org/10.1016/j.mechmat.2018.12.008.
- N. Kumar and S. Pal, Low frequency and wide band gap metamaterial with divergent shaped star units: Numerical and experimental investigations, Appl. Phys. Lett., vol. 115, no. 25, p. 254101, 2019. DOI: https://doi.org/10.1063/1.5119754.
- W. Elmadih, et al., Three-dimensional resonating metamaterials for low-frequency vibration attenuation, Sci. Rep., vol. 9, no. 1, pp. 1–8, 2019. DOI: https://doi.org/10.1038/s41598-019-47644-0.
- L. D’Alessandro, et al., Low frequency 3D ultra-wide vibration attenuation via elastic metamaterial, Sci. Rep., vol. 9, no. 1, pp. 1–8, 2019. DOI: https://doi.org/10.1038/s41598-019-44507-6.
- Y-f Liu, et al., Trees as large-scale natural metamaterials for low-frequency vibration reduction, Constr. Build. Mater., vol. 199, pp. 737–745, 2019. DOI: https://doi.org/10.1016/j.conbuildmat.2018.12.062.
- A. Hussain and P. S. Balaji, Stiffness characteristics of a polycal wire rope isolators, IOP Conf. Ser: Mater. Sci. Eng., vol. 402, p. 012058, 2018. DOI: https://doi.org/10.1088/1757-899X/402/1/012058.
- R. Ibrahim, Recent advances in nonlinear passive vibration isolators, J. Sound Vib., vol. 314, no. 3–5, pp. 371–452, 2008. DOI: https://doi.org/10.1016/j.jsv.2008.01.014.
- A. Carrella, et al., On the force transmissibility of a vibration isolator with quasi-zero-stiffness, J. Sound Vib., vol. 322, no. 4–5, pp. 707–717, 2009. DOI: https://doi.org/10.1016/j.jsv.2008.11.034.
- J. Zhou, et al., Local resonator with high-static-low-dynamic stiffness for lowering band gaps of flexural wave in beams, J. Appl. Phys., vol. 121, no. 4, p. 044902, 2017. DOI: https://doi.org/10.1063/1.4974299.
- K. Wang, et al., Mathematical modeling and analysis of a meta-plate for very low-frequency band gap, Appl. Math. Modell., vol. 73, pp. 581–597, 2019. DOI: https://doi.org/10.1016/j.apm.2019.04.033.
- K. Wang, et al., Lower band gaps of longitudinal wave in a one-dimensional periodic rod by exploiting geometrical nonlinearity, Mech. Syst. Sig. Process., vol. 124, pp. 664–678, 2019. DOI: https://doi.org/10.1016/j.ymssp.2019.02.008.
- C. Cai, et al., Design and numerical validation of quasi-zero-stiffness metamaterials for very low-frequency band gaps, Compos. Struct., vol. 236, p. 111862, 2020. DOI: https://doi.org/10.1016/j.compstruct.2020.111862.
- H. Fan, et al., Design of metastructures with quasi-zero dynamic stiffness for vibration isolation, Compos. Struct., vol. 243, p. 112244, 2020. DOI: https://doi.org/10.1016/j.compstruct.2020.112244.
- K. Wang, et al., A semi-active metamaterial beam with electromagnetic quasi-zero-stiffness resonators for ultralow-frequency band gap tuning, Int. J. Mech. Sci., vol. 176, p. 105548, 2020. DOI: https://doi.org/10.1016/j.ijmecsci.2020.105548.
- H. Sun, X. Du, and P. F. Pai, Theory of metamaterial beams for broadband vibration absorption, J. Intell. Mater. Syst. Struct., vol. 21, no. 11, pp. 1085–1101, 2010. DOI: https://doi.org/10.1177/1045389X10375637.
- G. W. Milton and J. R. Willis, On modifications of Newton's second law and linear continuum elastodynamics, Proc. R Soc. A., vol. 463, no. 2079, pp. 855–880, 2007. DOI: https://doi.org/10.1098/rspa.2006.1795.
- M. R. Haberman, et al., Negative stiffness metamaterials and periodic composites, J. Acoust. Soc. Am., vol. 131, no. 4, pp. 3372–3372, 2012. DOI: https://doi.org/10.1121/1.4708717.
- P. F. Pai, Metamaterial-based broadband elastic wave absorber, J. Intell. Mater. Syst. Struct., vol. 21, no. 5, pp. 517–528, 2010. DOI: https://doi.org/10.1177/1045389X09359436.
- H. Sun, X. Du, and P. F. Pai, Metamaterial broadband vibration absorbers by local resonance, 52nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 19th AIAA/ASME/AHS Adaptive Structures Conference 13t., 2011. DOI: https://doi.org/10.2514/6.2011-1781.
- Z. Wu, et al., Band-gap property of a novel elastic metamaterial beam with X-shaped local resonators, Mech. Syst. Sig. Process., vol. 134, p. 106357, 2019. DOI: https://doi.org/10.1016/j.ymssp.2019.106357.
- M. Nouh, O. Aldraihem, and A. Baz, Vibration characteristics of metamaterial beams with periodic local resonances, J. Vib. Acoust., vol. 136, no. 6, pp. 061012-1–061012-12, 2014. DOI: https://doi.org/10.1115/1.4028453.
- Y. Xiao, J. Wen, and X. Wen, Longitudinal wave band gaps in metamaterial-based elastic rods containing multi-degree-of-freedom resonators, New J. Phys., vol. 14, no. 3, p. 033042, 2012. DOI: https://doi.org/10.1088/1367-2630/14/3/033042.
- X. Liu, et al., Wave propagation characterization and design of two-dimensional elastic chiral metacomposite, J. Sound Vib., vol. 330, no. 11, pp. 2536–2553, 2011. DOI: https://doi.org/10.1016/j.jsv.2010.12.014.
- P. F. Pai, H. Peng, and S. Jiang, Acoustic metamaterial beams based on multi-frequency vibration absorbers, Int. J. Mech. Sci., vol. 79, pp. 195–205, 2014. DOI: https://doi.org/10.1016/j.ijmecsci.2013.12.013.
- A. Nanda and M. A. Karami, Tunable bandgaps in a deployable metamaterial, J. Sound Vib., vol. 424, pp. 120–136, 2018. DOI: https://doi.org/10.1016/j.jsv.2018.03.015.
- C. Lv, et al., Origami based mechanical metamaterials, Sci. Rep., vol. 4, p. 5979, 2014. DOI: https://doi.org/10.1038/srep05979.
- S. A. Zirbel, et al., Accommodating thickness in origami-based deployable arrays, J. Mech. Des., vol. 135, no. 11, pp. 111005-1–111005-11, 2013. DOI: https://doi.org/10.1115/1.4025372.
- J. P. Gardner, et al., The James Webb space telescope, Space Sci. Rev., vol. 123, no. 4, pp. 485–606, 2006. DOI: https://doi.org/10.1007/s11214-006-8315-7.
- S. Felton, et al. , Applied origami. A method for building self-folding machines, Science, vol. 345, no. 6197, pp. 644–646, 2014. DOI: https://doi.org/10.1126/science.1252610.
- K. Kuribayashi, et al., Self-deployable origami stent grafts as a biomedical application of Ni-rich TiNi shape memory alloy foil, Mater. Sci. Eng. A, vol. 419, no. 1–2, pp. 131–137, 2006. DOI: https://doi.org/10.1016/j.msea.2005.12.016.
- A. Spadoni, M. Ruzzene, and F. Scarpa, Dynamic response of chiral truss-core assemblies, J. Intell. Mater. Syst. Struct., vol. 17, no. 11, pp. 941–952, 2006. DOI: https://doi.org/10.1177/1045389X06060219.
- D. Beli, et al., Wave attenuation and trapping in 3D printed cantilever-in-mass metamaterials with spatially correlated variability, Sci. Rep., vol. 9, no. 1, pp. 1–11, 2019. DOI: https://doi.org/10.1038/s41598-019-41999-0.
- H. Zhang, et al., Tunable acoustic filters assisted by coupling vibrations of a flexible Helmholtz resonator and a waveguide, Appl. Phys. Lett., vol. 110, no. 17, p. 173506, 2017. DOI: https://doi.org/10.1063/1.4982635.
- Y. Huang, et al., Pentamodal property and acoustic band gaps of pentamode metamaterials with different cross-section shapes, Phys. Lett. A, vol. 380, no. 13, pp. 1334–1338, 2016. DOI: https://doi.org/10.1016/j.physleta.2016.01.041.
- J. Wen, et al., Theoretical and experimental investigation of flexural wave propagation in straight beams with periodic structures: Application to a vibration isolation structure, J. Appl. Phys., vol. 97, no. 11, p. 114907, 2005. DOI: https://doi.org/10.1063/1.1922068.
- Z. Cheng, et al., Locally resonant periodic structures with low-frequency band gaps, J. Appl. Phys., vol. 114, no. 3, p. 033532, 2013. DOI: https://doi.org/10.1063/1.4816052.
- Y.-L. Tsai and T. Chen, Band gap structure of acoustic wave in hexagonal phononic crystals with polyethylene matrix, Procedia Eng., vol. 79, pp. 612–616, 2014. DOI: https://doi.org/10.1016/j.proeng.2014.06.387.
- F. Javid, et al. , Architected materials with ultra-low porosity for vibration control, Adv. Mater., vol. 28, no. 28, pp. 5943–5948, 2016. DOI: https://doi.org/10.1002/adma.201600052.
- X. Ding, et al., Controllable propagation of bending waves in wrinkled films, J. Appl. Mech., vol. 86, no. 6, pp. 061005-1–061005-8, 2019. DOI: https://doi.org/10.1115/1.4043073.
- K. Bertoldi and M. C. Boyce, Wave propagation and instabilities in monolithic and periodically structured elastomeric materials undergoing large deformations, Phys. Rev. B, vol. 78, no. 18, p. 184107, 2008. DOI: https://doi.org/10.1103/PhysRevB.78.184107.
- M. Ruzzene and A. Baz, Control of wave propagation in periodic composite rods using shape memory inserts, J. Vib. Acoust., vol. 122, no. 2, pp. 151–159, 2000. DOI: https://doi.org/10.1115/1.568452.
- M. Ruzzene and A. Baz, Attenuation and localization of wave propagation in periodic rods using shape memory inserts, Smart Mater. Struct., vol. 9, no. 6, pp. 805–816, 2000. DOI: https://doi.org/10.1088/0964-1726/9/6/310.
- A. Baz, Active control of periodic structures, J. Vib. Acoust., vol. 123, no. 4, pp. 472–479, 2001. DOI: https://doi.org/10.1115/1.1399052.
- A. Bergamini, et al., Phononic crystal with adaptive connectivity, Adv. Mater., vol. 26, no. 9, pp. 1343–1347, 2014. DOI: https://doi.org/10.1002/adma.201305280.
- F. Casadei, et al., Vibration control of plates through hybrid configurations of periodic piezoelectric shunts, J. Intell. Mater. Syst. Struct., vol. 23, no. 10, pp. 1169–1177, 2012. DOI: https://doi.org/10.1177/1045389X12443014.
- M. Collet, et al., Semi-active optimization of 2D wave dispersion into shunted piezo-composite systems for controlling acoustic interaction, Smart Mater. Struct., vol. 21, no. 9, p. 094002, 2012. DOI: https://doi.org/10.1088/0964-1726/21/9/094002.
- S. Chen, et al., Wave propagation and attenuation in plates with periodic arrays of shunted piezo-patches, J. Sound Vib., vol. 332, no. 6, pp. 1520–1532, 2013. DOI: https://doi.org/10.1016/j.jsv.2012.11.005.
- P. Celli and S. Gonella, Tunable directivity in metamaterials with reconfigurable cell symmetry, Appl. Phys. Lett., vol. 106, no. 9, p. 091905, 2015. DOI: https://doi.org/10.1063/1.4914011.
- J. Wen, et al., Directionality of wave propagation and attenuation in plates with resonant shunting arrays, J. Intell. Mater. Syst. Struct., vol. 27, no. 1, pp. 28–38, 2016. DOI: https://doi.org/10.1177/1045389X14560361.
- F. Tateo, et al., Experimental characterization of a bi-dimensional array of negative capacitance piezo-patches for vibroacoustic control, J. Intell. Mater. Syst. Struct., vol. 26, no. 8, pp. 952–964, 2015. DOI: https://doi.org/10.1177/1045389X14536006.
- R. Zhu, et al., Experimental study of an adaptive elastic metamaterial controlled by electric circuits, Appl. Phys. Lett., vol. 108, no. 1, p. 011905, 2016. DOI: https://doi.org/10.1063/1.4939546.
- H. Zhang, et al., Soft mechanical metamaterials with unusual swelling behavior and tunable stress-strain curves, Sci. Adv., vol. 4, no. 6, p. eaar8535, 2018. DOI: https://doi.org/10.1126/sciadv.aar8535.
- P. Pitchappa, et al., Microelectromechanically reconfigurable interpixelated metamaterial for independent tuning of multiple resonances at terahertz spectral region, Optica, vol. 2, no. 6, pp. 571–578, 2015. DOI: https://doi.org/10.1364/OPTICA.2.000571.
- M. Bodaghi and W. Liao, 4D printed tunable mechanical metamaterials with shape memory operations, Smart Mater. Struct., vol. 28, no. 4, p. 045019, 2019. DOI: https://doi.org/10.1088/1361-665X/ab0b6b.
- S. Wu, et al., Symmetry-breaking actuation mechanism for soft robotics and active metamaterials, ACS Appl Mater Interfaces, vol. 11, no. 44, pp. 41649–41658, 2019. DOI: https://doi.org/10.1021/acsami.9b13840.
- M. Lei, et al., Magnetically tunable metamaterial perfect absorber, J. Appl. Phys., vol. 119, no. 24, p. 244504, 2016. DOI: https://doi.org/10.1063/1.4954224.
- C. Yang, et al., 4D printing reconfigurable, deployable and mechanically tunable metamaterials, Mater. Horiz., vol. 6, no. 6, pp. 1244–1250, 2019. DOI: https://doi.org/10.1039/C9MH00302A.
- K. Yi, et al., Active metamaterials with broadband controllable stiffness for tunable band gaps and non-reciprocal wave propagation, Smart Mater. Struct., vol. 28, no. 6, p. 065025, 2019. DOI: https://doi.org/10.1088/1361-665X/ab19dc.
- T. Ren, et al., Active tunability of band gaps for a novel elastic metamaterial plate, Acta Mech., vol. 231, no. 10, pp. 4035–4053, 2020. DOI: https://doi.org/10.1007/s00707-020-02728-1.
- M. Ruzzene and F. Scarpa, Control of wave propagation in sandwich beams with auxetic core, J. Intell. Mater. Syst. Struct., vol. 14, no. 7, pp. 443–453, 2003. DOI: https://doi.org/10.1177/1045389X03035515.
- Y. Chen, et al., Lattice metamaterials with mechanically tunable Poisson’s ratio for vibration control, Phys. Rev. Appl., vol. 7, no. 2, p. 024012, 2017. DOI: https://doi.org/10.1103/PhysRevApplied.7.024012.
- M. Ouisse, M. Collet, and F. Scarpa, A piezo-shunted kirigami auxetic lattice for adaptive elastic wave filtering, Smart Mater. Struct., vol. 25, no. 11, p. 115016, 2016. DOI: https://doi.org/10.1088/0964-1726/25/11/115016.
- C. Sugino, M. Ruzzene, and A. Erturk, Digitally programmable resonant elastic metamaterials, Phys. Rev. Appl., vol. 13, no. 6, p. 061001, 2020. DOI: https://doi.org/10.1103/PhysRevApplied.13.061001.
- S. M. Montgomery, et al., Magneto‐mechanical metamaterials with widely tunable mechanical properties and acoustic bandgaps, Adv. Funct. Mater., vol. 31, no. 3, p. 2005319, 2021. DOI: https://doi.org/10.1002/adfm.202005319.