Combined random and deterministic effects in a simple aeroelastic model

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378297%3A_____%2F24%3A00597904" target="_blank" >RIV/68378297:_____/24:00597904 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.4203/ccc.9.8.4" target="_blank" >https://doi.org/10.4203/ccc.9.8.4</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.4203/ccc.9.8.4" target="_blank" >10.4203/ccc.9.8.4</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Combined random and deterministic effects in a simple aeroelastic model

Popis výsledku v původním jazyce

The response of slender engineered structures in close proximity to the lock-in frequency region exhibits multiple dominant frequencies that contribute to the quasiperiodic nature of the response. The difference in individual dominant frequencies increases significantly with increasing distance from the lock-in region. This effect alters the character of the response from apparently non-stationary to quasi-periodic, with the frequency of beating varying as the distance from the locking interval changes. In the presence of combined random and harmonic excitation, the response character varies between stationary, cyclo-stationary, and non-stationary, depending on the intensity of the stochastic component. While the probabilistic characteristics of a non-linear Single Degree of Freedom oscillator of the van der Pol type system on a slow time scale can be described using partial amplitudes of the response, this paper specifically focuses on the non-stationary case. The solution to the Fokker-Planck equation for the cross-Probability Density Function of the partial amplitudes is determined using the Galerkin approximation. For this purpose, orthogonal polynomial basis functions are utilized and assessed.

Název v anglickém jazyce

Combined random and deterministic effects in a simple aeroelastic model

Popis výsledku anglicky

The response of slender engineered structures in close proximity to the lock-in frequency region exhibits multiple dominant frequencies that contribute to the quasiperiodic nature of the response. The difference in individual dominant frequencies increases significantly with increasing distance from the lock-in region. This effect alters the character of the response from apparently non-stationary to quasi-periodic, with the frequency of beating varying as the distance from the locking interval changes. In the presence of combined random and harmonic excitation, the response character varies between stationary, cyclo-stationary, and non-stationary, depending on the intensity of the stochastic component. While the probabilistic characteristics of a non-linear Single Degree of Freedom oscillator of the van der Pol type system on a slow time scale can be described using partial amplitudes of the response, this paper specifically focuses on the non-stationary case. The solution to the Fokker-Planck equation for the cross-Probability Density Function of the partial amplitudes is determined using the Galerkin approximation. For this purpose, orthogonal polynomial basis functions are utilized and assessed.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

20101 - Civil engineering

Projekt

<a href="/cs/project/GA24-13061S" target="_blank" >GA24-13061S: Kombinované účinky aeroelastických nestabilit na stavební konstrukce</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2024

Kód důvěrnosti údajů

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

Název statě ve sborníku

Proceedings of the fifteenth international conference on computational structures technology

ISBN

—

ISSN

2753-3239

e-ISSN

2753-3239

Počet stran výsledku

13

Strana od-do

8.4

Název nakladatele

Civil-Comp Press

Místo vydání

Edinburgh

Místo konání akce

Praha

Datum konání akce

4. 9. 2024

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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