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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

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    JM - Structural engineering

  • OECD FORD branch

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

  • 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

  • UT code for WoS article

  • EID of the result in the Scopus database

    2-s2.0-84994175648