Mittelineaarse lainelevi uurimisrühm
Uurimisrühma juht
Seotud struktuuriüksus
TalTech prioriteetne teadussuund
Ülevaade
Tegevus on fokusseeritud komplekssetes keskkondades toimuva lainelevi seaduspärasuste selgitamisele. Peamised uurimissuunad on:• Pideva keskkonna mehaanika ja sisemuutujate teooria. Loodavad matemaatilised mudelid võtavad arvesse mittelineaarseid, dispersiivseid ning temperatuuri efekte ja erineva skaalaga mikrostruktuuride koosmõju lainelevile.• Mittelineaarse lainelevi numbriline analüüs. Keerukate lainestruktuuride käitumise uurimiseks luuakse Fourier’ teisendusel ja Haari lainikutel põhinevaid numbrilisi meetodeid.• Metamaterjalide modelleerimine. Luuakse teoreetilist baasi uute tehismaterjalide loomiseks.• Laineprotsessid aksonites. Selgitatakse närvisignaali levikuga kaasnevaid mehaanilisi ja termilisi efekte.• Muusika akustika. Mittelineaarsete mudelite abil selgitatakse helitekke mehhanisme keelpillides.• Materjalide mittepurustav testimine. Luuakse meetodeid komplekssete materjalide omaduste määramiseks ja defektide tuvastamiseks.• Solitonide ja üksiklainete analüüs. Selgitatakse mis tingimustel saavad komplekssetes keskkondades formeeruda solitoni tüüpi lained.
Uurimisrühma liige
Doktorant
Endised liikmed
Klassifikaator (Frascati)
Võtmesõna
sisemuutujate teooria
mittelineaarsed lained
solitonid
mittepurustav testimine
laineprotsessid aksonites
heliteke keelpillides
metamaterjalid
numbrilised eksperimendid
Tähtsamad tulemused
2024. a tulemusi: • Närviimpulsi levi modelleerimine. Jätkus närvisignaali mudeli täiustamine ja vastavate numbriliste eksperimentide teostamine. Viidi lõpule müeliinikihi mõju lisamine mudeli elektrlisele osale. • Metamaterjalide modelleerimine ja sisemuutujate teooria. Jätkusid uuringud, kus rakendati sisemuutujate formalismi elastsete materjalide olekumudelite (olekuvõrrandite) tuletamiseks. Uuriti kaksikrajade (twin boundaries) dünaamikat mäluga sulamites (martensiitides). Näidati, et aeglase liikumise korral saab seda protsessi kirjeldada üksiku sisemuutuja abil, kuid kiire liikumise korral tuleb rakendada topelt sisemuutujate tehnikat. • Lainelevi viskoelastsetes materjalides. On modelleeritud akustiliste lainete levi vildi-tüüpi viskoelastsetes materjalides ja selgitatud keelutsooni ja negatiivse grupikiiruse füüsikalist tähendust selles protsessis. Vastav artikkel on esitatud publitseerimiseks ajakirja Wave Motion. • Pinnalainete modelleerimine Sügava vee pinnal levivate lainete modelleerimiseks on tuletatud uudne integro-differentsiaalvõrrand, mis kirjeldab kogu laineprofiili levimist.
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https://doi.org/10.1515/jnet-2021-0089 - Mračko, M., Adámek, V., Berezovski, A., Kober, J., Kolman, R. Experimental, analytical, and numerical study of transient elastic waves from a localized source in an aluminium strip // Applied acoustics (2021) vol. 178, art. 107983.
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https://doi.org/10.1140/epjp/s13360-022-02883-5 - Adámek, V., Berezovski, A., Mračko, M., Kolman, R. A two-layer elastic strip under transverse impact loading : analytical solution, finite element, and finite volume simulations // Mathematics and computers in simulation (2021) vol. 189, p. 126-140.
https://doi.org/10.1016/j.matcom.2020.10.007 - Ratas, M. Application of the Adaptive Higher Order Haar Wavelet based methods for solving the sine-Gordon equation // AIP conference proceedings. New York : AIP, 2022. art. 380006. (AIP conference proceedings ; 2425, 1).
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https://doi.org/10.3176/proc.2021.1.05 https://kirj.ee/wp-content/plugins/kirj/pub/proc-1-2021-1-2_20210218113638.pdf - Kartofelev, D., Arro, J.G., Välimäki, V. Insights into the string-barrier interaction dynamics based on high-speed camera measurements // SMC 2020 : Proceedings of the 17th Sound and Music Computing Conference, Torino, Italy, June 24th - 26th 2020. Torino : Sound and Music Computing Network, Xea sas/SMC Network, 2020. p. 169-176.
https://smc2020torino.it/adminupload/file/SMC2020Proceedings.pdf - Ratas, M., Chemori, A., Kruusmaa, M. PHA-based feedback control of a biomimetic AUV for diver following : design, simulations and real-time experiments // European Control Conference (ECC). : IEEE, 2022. p. 503-509.
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https://doi.org/10.1016/j.mechrescom.2017.05.008 - Salupere, A., Ratas, M. On the application of 2D discrete spectral analysis in case of the KP equation // Mechanics research communications (2018) vol. 93, p. 141-147 : ill.
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https://doi.org/10.1063/5.0026439 - Peets, T., Tamm, K., Engelbrecht, J. Comment on "Solitons in the Heimburg-Jackson model of sound propagation in lipid bilayers are enabled by dispersion of a stiff membrane" by M. Drab et al. // The European physical journal E (2023) vol. 46, 5, art. 34.
https://doi.org/10.1140/epje/s10189-023-00299-2 - Engelbrecht, Jüri; Tamm, Kert; Peets, Tanel Axons’ signals // Horizons in neuroscience research ; 49. New York : Nova Science Publishers, 2023. p. 33-73. (Nova Medicine and Health).
https://novapublishers.com/shop/horizons-in-neuroscience-research-volume-49/ - Peets, T., Tamm, K., Engelbrecht, J. On mathematical modeling of the propagation of a wave ensemble within an individual axon // Frontiers in cellular neuroscience (2023) vol. 17, art. 1222785.
https://doi.org/10.3389/fncel.2023.1222785 - Berezovski, A. An internal variable model of macroscopic twin boundary dynamics // Mathematics and mechanics of solids (2024) vol. 29, 11, p. 2297 - 2315.
https://doi.org/10.1177/10812865241258723