Multi-dimensional Fokker-Planck equation analysis using the modified finite element method

Result code in IS VaVaI

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Result on the web

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DOI - Digital Object Identifier

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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 probabilityndensity function (PDF) of a dynamic system response excited by a vector of random processes. FEMnrepresents 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.

Czech name

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Czech description

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Type

D - Article in proceedings

CEP classification

JM - Structural engineering

OECD FORD branch

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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

Publication year

2016

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection

Proceedings of XIII International conference on motion and vibration control, XII International conference on recent advances in structural dynamics

ISBN

9780854329939

ISSN

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e-ISSN

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Number of pages

12

Pages from-to

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Publisher name

University of Southampton

Place of publication

Southampton

Event location

Southampton

Event date

Jun 3, 2016

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

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