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Multi-dimensional Fokker-Planck equation analysis using the modified finite element method
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SYSNO ASEP 0465305 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve SCOPUS Název Multi-dimensional Fokker-Planck equation analysis using the modified finite element method Tvůrce(i) Náprstek, Jiří (UTAM-F) RID, ORCID, SAI
Král, Radomil (UTAM-F) RID, SAICelkový počet autorů 2 Číslo článku 012177 Zdroj.dok. Journal of Physics: Conference Series. - : Institute of Physics Publishing - ISSN 1742-6588
Roč. 744, č. 1 (2016)Poč.str. 12 s. Forma vydání Online - E Akce International Conference on Motion and Vibration Control (MOVIC 2016) /13./ and International Conference on Recent Advances in Structural Dynamics (RASD 2016) /12./ Datum konání 04.07.2016 - 06.07.2016 Místo konání Southampton Země GB - Velká Británie Typ akce WRD Jazyk dok. eng - angličtina Země vyd. GB - Velká Británie Klíč. slova Fokker-Planck equation ; finite element method ; single degree of freedom systems (SDOF) Vědní obor RIV JM - Inženýrské stavitelství CEP GP14-34467P GA ČR - Grantová agentura ČR GA15-01035S GA ČR - Grantová agentura ČR Institucionální podpora UTAM-F - RVO:68378297 EID SCOPUS 84994175648 DOI 10.1088/1742-6596/744/1/012177 Anotace The Fokker-Planck equation (FPE) is a frequently used tool for the solution of cross probability density function (PDF) of a dynamic system response excited by a vector of random processes. FEM represents a very effective solution possibility, particularly when transition processes are investigated or a more detailed solution is needed. Actual papers deal with single degree of freedom (SDOF) systems only.
So the respective FPE includes two independent space variables only. Stepping over this limit into MDOF systems a number of specific problems related to a true multi-dimensionality must be overcome. Unlike earlier studies, multi-dimensional simplex elements in any arbitrary dimension should be deployed and rectangular (multi-brick) elements abandoned. Simple closed formulae of integration in multi-dimension domain have been derived. Another specific problem represents the generation of multi-dimensional finite element mesh. Assembling of system global matrices should be subjected to newly composed algorithms due to multi-dimensionality. The system matrices are quite full and no advantages following from their sparse character can be profited from, as is commonly used in conventional FEM applications in 2D/3D problems. After verification of partial algorithms, an illustrative example dealing with a 2DOF non-linear aeroelastic system in combination with random and deterministic excitations is discussed.Pracoviště Ústav teoretické a aplikované mechaniky Kontakt Kulawiecová Kateřina, kulawiecova@itam.cas.cz, Tel.: 225 443 285 Rok sběru 2017 Elektronická adresa http://iopscience.iop.org/article/10.1088/1742-6596/744/1/012177
Počet záznamů: 1