Original title: Finite element solution of the nonlinear 2DOFs dynamic system under random Gaussian excitation using the Fokker-Planck equation
Authors: Král, Radomil ; Náprstek, Jiří
Document type: Papers
Conference/Event: Computational Mechanics 2015. Conference with International Participation. /31./, Špičák (CZ), 2015-11-09 / 2015-11-11
Year: 2015
Language: eng
Abstract: Papers published until now are dealing with single degree of freedom (SDOF) systems. So the respective FP equation includes two independent space variables only (x1, x2). Nevertheless stepping over this limit and entering into a true multi-dimensionality a number of specific problems must be overcome. While in usual FEM practice the number of space variables is two or three, investigating FP equation, so 2n independent space variables emerges. It means for instance 12 space variables when random motion of a rigid body in space with six degrees of freedom is studied. Many requirements should be respected which are out of a conventional practice of Finite Element employment.
Keywords: finite element method (FEM); Fokker-Planck equation; Gaussian excitation
Project no.: GP14-34467P (CEP)
Funding provider: GA ČR
Host item entry: Computational Mechanics 2015, ISBN 978-80-261-0568-8

Institution: Institute of Theoretical and Applied Mechanics AS ČR (web)
Document availability information: Fulltext is available at the institute of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0252126

Permalink: http://www.nusl.cz/ntk/nusl-201037


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Research > Institutes ASCR > Institute of Theoretical and Applied Mechanics
Conference materials > Papers