Original title: Stochastic version of the arc-length method
Authors: Náprstek, Jiří ; Fischer, Cyril
Document type: Papers
Conference/Event: Engineering mechanics 2024 /30./, Milovy (CZ), 20240514
Year: 2024
Language: eng
Abstract: The solution of a nonlinear algebraic system using the incremental method, based on pre-defined loading steps, fails in the vicinity of local extrema as well as around bifurcation points. The solution involved the derivation of the so-called ’Arc-Length’ method. Its essence lies in not incrementing the system parameter or any of the independent variables but rather the length of the response curve. The stochastic variant of this method allows for working with a system where system parameters include random imperfections. This contribution presents a variant that tracks the first two stochastic moments. Even in this simple case, interesting phenomena can be observed, such as the disappearance of the energy barrier against equilibrium jump due to random imperfections in the system.
Keywords: continuation; numerical method; random imperfection; stochastic arc-length method
Project no.: GA24-13061S (CEP)
Funding provider: GA ČR
Host item entry: Engineering mechanics 2024. Book of full texts, ISBN 978-80-214-6235-9, ISSN 1805-8248

Institution: Institute of Theoretical and Applied Mechanics AS ČR (web)
Document availability information: Fulltext is available in the digital repository of the Academy of Sciences.
Original record: https://hdl.handle.net/11104/0353609

Permalink: http://www.nusl.cz/ntk/nusl-614491


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