Multi-dimensional Fokker-Planck equation analysis using the modified finite element method
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378297%3A_____%2F16%3A00465305" target="_blank" >RIV/68378297:_____/16:00465305 - isvavai.cz</a>
Result on the web
<a href="http://iopscience.iop.org/article/10.1088/1742-6596/744/1/012177" target="_blank" >http://iopscience.iop.org/article/10.1088/1742-6596/744/1/012177</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1742-6596/744/1/012177" target="_blank" >10.1088/1742-6596/744/1/012177</a>
Alternative languages
Result language
angličtina
Original language name
Multi-dimensional Fokker-Planck equation analysis using the modified finite element method
Original language description
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.nSo 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.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
JM - Structural engineering
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Physics: Conference Series
ISSN
1742-6588
e-ISSN
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Volume of the periodical
744
Issue of the periodical within the volume
1
Country of publishing house
GB - UNITED KINGDOM
Number of pages
12
Pages from-to
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UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-84994175648