Uncertainty quantification in inerter-based quasiperiodic lattices

International Journal of Mechanical Sciences - Tập 249 - Trang 108258 - 2023
Tanmoy Chatterjee1,2, Danilo Karličić3, Milan Cajić2,3, Sondipon Adhikari4, Michael I. Friswell2
1School of Mechanical Engineering Sciences, University of Surrey, Guildford GU2 7XH, UK
2Faculty of Science and Engineering, Swansea University, Swansea SA1 8EN, UK
3Mathematical Institute of the Serbian Academy of Sciences and Arts, 11000 Belgrade, Serbia
4James Watt School of Engineering, The University of Glasgow, Glasgow G12 8QQ, UK

Tài liệu tham khảo

Süsstrunk, 2015, Observation of phononic helical edge states in a mechanical topological insulator, Science, 349, 47, 10.1126/science.aab0239 Bertoldi, 2017, Flexible mechanical metamaterials, Nat Rev Mater, 2, 1, 10.1038/natrevmats.2017.66 Bansil, 2016, Colloquium: Topological band theory, Rev Modern Phys, 88, 10.1103/RevModPhys.88.021004 Yang, 2015, Topological acoustics, Phys Rev Lett, 114, 10.1103/PhysRevLett.114.114301 Fleury, 2016, Floquet topological insulators for sound, Nature Commun, 7, 1, 10.1038/ncomms11744 Mousavi, 2015, Topologically protected elastic waves in phononic metamaterials, Nature Commun, 6, 1, 10.1038/ncomms9682 Li, 2014, Topological phases of generalized Su–Schrieffer–Heeger models, Phys Rev B, 89, 10.1103/PhysRevB.89.085111 Li, 2018, Observation of elastic topological states in soft materials, Nature Commun, 9, 1 Ma, 2019, Topological phases in acoustic and mechanical systems, Nat Rev Phys, 1, 281, 10.1038/s42254-019-0030-x Wang, 2020, Tailoring edge and interface states in topological metastructures exhibiting the acoustic valley Hall effect, Sci China Phys Mech Astron, 63, 1, 10.1007/s11433-019-9601-6 Gao, 2021, Broadband topological valley transport of elastic wave in reconfigurable phononic crystal plate, Appl Phys Lett, 118, 10.1063/5.0036840 Xiao, 2015, Geometric phase and band inversion in periodic acoustic systems, Nat Phys, 11, 240, 10.1038/nphys3228 Chaunsali, 2017, Demonstrating an in situ topological band transition in cylindrical granular chains, Phys Rev Lett, 119, 10.1103/PhysRevLett.119.024301 Zhou, 2019, Topological edge modeling and localization of protected interface modes in 1D phononic crystals for longitudinal and bending elastic waves, Int J Mech Sci, 159, 359, 10.1016/j.ijmecsci.2019.05.020 Zhao, 2018, Topological interface modes in local resonant acoustic systems, Phys Rev B, 98, 10.1103/PhysRevB.98.014110 Yao, 2021, Topological phononic crystal plates with locally resonant elastic wave systems, Appl Acoust, 177, 10.1016/j.apacoust.2021.107931 Pal, 2018, Amplitude-dependent topological edge states in nonlinear phononic lattices, Phys Rev E, 97, 10.1103/PhysRevE.97.032209 Darabi, 2019, Tunable nonlinear topological insulator for acoustic waves, Phys Rev A, 12 Zhou, 2020 Wang, 2020, Tunable topological interface states in one-dimensional extended granular crystals, Int J Mech Sci, 176, 10.1016/j.ijmecsci.2020.105549 Tempelman, 2021, Topological protection in a strongly nonlinear interface lattice, Phys Rev B, 104, 10.1103/PhysRevB.104.174306 Aubry, 1980, Analyticity breaking and Anderson localization in incommensurate lattices, Ann Isr Phys Soc, 3, 18 Apigo, 2018, Topological edge modes by smart patterning, Phys Rev Mater, 2 Rosa, 2022 Prodan, 2016, Bulk and boundary invariants for complex topological insulators, K Cheng W, Apigo D, Dobiszewski K, Prodan E, Prodan C. Observation of topological edge modes in a quasi-periodic acoustic waveguide. In: APS march meeting abstracts, vol. 2019. 2019, p. A03–008. Ni, 2019, Observation of Hofstadter butterfly and topological edge states in reconfigurable quasi-periodic acoustic crystals, Commun Phys, 2, 1, 10.1038/s42005-019-0151-7 Xia, 2020, Topological edge states in quasiperiodic locally resonant metastructures, Phys Rev A, 13 Rosa, 2021, Exploring topology of 1D quasiperiodic metastructures through modulated LEGO resonators, Appl Phys Lett, 118, 10.1063/5.0042294 Beli, 2022 Beli, 2021, Mechanics and dynamics of two-dimensional quasicrystalline composites, Extreme Mech Lett, 44, 10.1016/j.eml.2021.101220 Kuhnert, 2021, Inerter-like devices used for vibration isolation: a historical perspective, J Franklin Inst B, 358, 1070, 10.1016/j.jfranklin.2020.11.007 Smith, 2020, The inerter: a retrospective, Annu Rev Control Robot Auton Syst, 3, 361, 10.1146/annurev-control-053018-023917 Liu, 2018, Model identification methodology for fluid-based inerters, Mech Syst Signal Process, 106, 479, 10.1016/j.ymssp.2018.01.018 Wagg, 2021, A review of the mechanical inerter: historical context, physical realisations and nonlinear applications, Nonlinear Dynam, 1 Mi, 2020, Acoustic inerter: Ultra-low frequency sound attenuation in a duct, J Acoust Soc Am, 148, EL27, 10.1121/10.0001476 Kulkarni, 2016, Longitudinal elastic wave propagation characteristics of inertant acoustic metamaterials, J Appl Phys, 119, 10.1063/1.4954074 Mu, 2020, A review of research on seismic metamaterials, Adv Energy Mater, 22 Fang, 2018, Band-gap properties of elastic metamaterials with inerter-based dynamic vibration absorbers, J Appl Mech, 85, 10.1115/1.4039898 Al Ba’ba’a, 2018, Dispersion transitions and pole-zero characteristics of finite inertially amplified acoustic metamaterials, J Appl Phys, 123 Al Ba’ba’a, 2021, Enabling novel dispersion and topological characteristics in mechanical lattices via stable negative inertial coupling, Proc R Soc A, 477, 10.1098/rspa.2020.0820 Henneberg, 2020, Periodically arranged acoustic metamaterial in industrial applications: The need for uncertainty quantification, Appl Acoust, 157, 10.1016/j.apacoust.2019.107026 Al Ba’Ba’A, 2020, Uncertainty quantification of tunable elastic metamaterials using polynomial chaos, J Appl Phys, 127, 10.1063/1.5130685 Chatterjee, 2021, Wave propagation in randomly parameterized 2D lattices via machine learning, Compos Struct, 275, 10.1016/j.compstruct.2021.114386 Cajić, 2023, Tunable topological interface states in one-dimensional inerter-based locally resonant lattices with damping, J Sound Vib, 542, 10.1016/j.jsv.2022.117326 Smith, 2002, Synthesis of mechanical networks: the inerter, IEEE Trans Automat Control, 47, 1648, 10.1109/TAC.2002.803532 Shen, 2022, An inerter-based electromagnetic damper for civil structures: Modeling, testing, and seismic performance, Mech Syst Signal Process, 173, 10.1016/j.ymssp.2022.109070 De Domenico, 2019, Novel fluid inerter based tuned mass dampers for optimised structural control of base-isolated buildings, J Franklin Inst B, 356, 7626, 10.1016/j.jfranklin.2018.11.012 Aladwani, 2022, Tunable dissipation in elastic metamaterials via methodic reconfiguration of inertant mechanical networks, Meccanica, 57, 1337, 10.1007/s11012-022-01482-z Van Damme, 2021, Inherent non-linear damping in resonators with inertia amplification, Appl Phys Lett, 119, 10.1063/5.0061826 Russillo, 2022, Ultra-wide low-frequency band gap in locally-resonant plates with tunable inerter-based resonators, Appl Math Model, 106, 682, 10.1016/j.apm.2022.02.015 Pal, 2019, Topological bands and localized vibration modes in quasiperiodic beams, New J Phys, 21, 10.1088/1367-2630/ab3cd7 Yilmaz, 2007, Phononic band gaps induced by inertial amplification in periodic media, Phys Rev B, 76, 10.1103/PhysRevB.76.054309 Krige, 1951, A statistical approach to some basic mine valuation problems on the witwatersrand, J Chem Metall Min Soc S Afr, 52, 119 Chatterjee, 2020, Uncertainty propagation in dynamic sub-structuring by model reduction integrated domain decomposition, Comput Methods Appl Mech Engrg, 366, 10.1016/j.cma.2020.113060 Rasmussen, 2006 Lophaven, 2002 Chatterjee, 2018, h – p adaptive model based approximation of moment free sensitivity indices, Comput Methods Appl Mech Engrg, 332, 572, 10.1016/j.cma.2018.01.011 Chatterjee, 2017, Adaptive bilevel approximation technique for multiobjective evolutionary optimization, J Comput Civ Eng, 31, 10.1061/(ASCE)CP.1943-5487.0000643