Galerkin-type solution of non-stationary aeroelastic stochastic problems
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378297%3A_____%2F25%3A00627756" target="_blank" >RIV/68378297:_____/25:00627756 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.21136/panm.2024.05" target="_blank" >https://doi.org/10.21136/panm.2024.05</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.21136/panm.2024.05" target="_blank" >10.21136/panm.2024.05</a>
Alternative languages
Result language
angličtina
Original language name
Galerkin-type solution of non-stationary aeroelastic stochastic problems
Original language description
The assessment of vibration characteristics in slender engineering structures, influenced by both deterministic harmonic and stochastic excitation, poses a challenging problem. Due to its complexity, transverse vibration of the structure (relative to the wind direction) is typically modelled using the single-degree-of-freedom van der Pol-type equation. Determining the response probability density function comprises solving the Fokker-Planck equation, a task that generally necessitates the use of approximate numerical methods. Some of these methods rely on Galerkin-type approximation employing orthogonal polynomial or exponential-polynomial basis functions. This contribution reviews available techniques for stationary and non-stationary cases and proposes some modifications while highlighting unresolved questions in the field.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
20101 - Civil engineering
Result continuities
Project
<a href="/en/project/GA24-13061S" target="_blank" >GA24-13061S: The Combined Effects of Aeroelastic Instabilities on Civil Engineering Structures</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Programs and Algorithms of Numerical Mathematics 22
ISBN
978-80-85823-74-5
ISSN
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e-ISSN
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Number of pages
10
Pages from-to
51-60
Publisher name
Matematický ústav AV ČR, v. v. i.
Place of publication
Prague
Event location
Hejnice
Event date
Jun 23, 2024
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
001735593500005