Počet záznamů: 1
Evolutionary analysis of Fokker-Planck equation using multi-dimensional Finite Element Method
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SYSNO ASEP 0478703 Druh ASEP C - Konferenční příspěvek (mezinárodní konf.) Zařazení RIV D - Článek ve sborníku Název Evolutionary analysis of Fokker-Planck equation using multi-dimensional Finite Element Method Tvůrce(i) Náprstek, Jiří (UTAM-F) RID, ORCID, SAI
Král, Radomil (UTAM-F) RID, SAICelkový počet autorů 2 Zdroj.dok. Procedia Engineering, X International Conference on Structural Dynamics, EURODYN 2017, 199. - Amsterdam : Elsevier, 2017 / Vestroni F. ; Romeo F. ; Gattulli V. - ISSN 1877-7058 Rozsah stran s. 735-740 Poč.str. 6 s. Forma vydání Tištěná - P Akce EURODYN 2017, International Conference on Structural Dynamics /10./ Datum konání 10.09.2017 - 13.09.2017 Místo konání Řím Země IT - Itálie Typ akce WRD Jazyk dok. eng - angličtina Země vyd. GB - Velká Británie Klíč. slova Fokker-Planck equation ; Finite Element Method ; simplex element ; multi-dimensional problem ; non-linear aero-elastic systems Vědní obor RIV JM - Inženýrské stavitelství Obor OECD Mechanical engineering CEP GA15-01035S GA ČR - Grantová agentura ČR Institucionální podpora UTAM-F - RVO:68378297 UT WOS 000422868900116 EID SCOPUS 85029908986 DOI https://doi.org/10.1016/j.proeng.2017.09.033 Anotace Response characteristics, stability and other problems of non-linear dynamic systems under randomly variable loading are mostly analyzed by means of Fokker-Planck equation. However, possibilities of its analytical investigation are very limited and rather restricted to steady state problems only. Thus a number of non-conventional problems are out of effect of this popular tool. So the Finite Element Method reveals to be a powerful or sometimes the only applicable approach for analysis of non-stationary problems, as for instance quasi-periodic response, post-critical states, unstable states in time limited period, special configuration of boundary conditions, etc. However, a number of specific problems must be overcome. They follow predominantly from the large multi-dimensionality of the Fokker-Planck equation, shape of the definition domain and special requirements on the nature of the solution form, which is out of a common practice of Finite Element employment. In particular: (i) selection of the element type, (ii) development of new original algorithms for multi-dimensional element mesh generation and (iii) working out the original procedures for governing differential and algebraic systems assembling and their subsequent solution. A couple of illustrative examples dealing with SDOF and TDOF systems under random excitation of additive and multiplicative types are presented. Pracoviště Ústav teoretické a aplikované mechaniky Kontakt Kulawiecová Kateřina, kulawiecova@itam.cas.cz, Tel.: 225 443 285 Rok sběru 2018 Elektronická adresa http://www.sciencedirect.com/science/article/pii/S1877705817334471
Počet záznamů: 1