Stochastic and deterministic interaction among eigen-modes of a structure exposed to random excitation

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378297%3A_____%2F19%3A00506016" target="_blank" >RIV/68378297:_____/19:00506016 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Stochastic and deterministic interaction among eigen-modes of a structure exposed to random excitation

Popis výsledku v původním jazyce

The paper investigates the influence of both stochastic and deterministic interactions of eigen-modes on the along random response of slender structures exposed to the wind. The stochastic interaction originates from spatial distribution and correlation of the random wind excitation along the structure. The latter interaction i.e. deterministic is caused by application of non-classical damping, e.g., due to the presence of vibration absorber. The random excitation is expressed by means of the spectral density function, which characterizes the wind pressure fluctuation. The stationary Gaussian character of the excitation processes enables to express the general solution of the response in terms of stationary solution using correlation matrix in generalized coordinates. The off-diagonal elements of the response correlation matrix in the modal space provide the information about the level of general interaction among particular eigen-modes. A large number of numerical simulations was carried out on a computational model of a real tower with the vibration absorber in order to quantitatively and qualitatively determine the differences between responses obtained by conventional method and procedure recently proposed. Influence of stochastic and dynamic interactions to these differences were determined for various damping ratios of the absorber. The results obtained indicate certain underestimation of the vibration level due to the deterministic and stochastic interactions neglecting.

Název v anglickém jazyce

Stochastic and deterministic interaction among eigen-modes of a structure exposed to random excitation

Popis výsledku anglicky

The paper investigates the influence of both stochastic and deterministic interactions of eigen-modes on the along random response of slender structures exposed to the wind. The stochastic interaction originates from spatial distribution and correlation of the random wind excitation along the structure. The latter interaction i.e. deterministic is caused by application of non-classical damping, e.g., due to the presence of vibration absorber. The random excitation is expressed by means of the spectral density function, which characterizes the wind pressure fluctuation. The stationary Gaussian character of the excitation processes enables to express the general solution of the response in terms of stationary solution using correlation matrix in generalized coordinates. The off-diagonal elements of the response correlation matrix in the modal space provide the information about the level of general interaction among particular eigen-modes. A large number of numerical simulations was carried out on a computational model of a real tower with the vibration absorber in order to quantitatively and qualitatively determine the differences between responses obtained by conventional method and procedure recently proposed. Influence of stochastic and dynamic interactions to these differences were determined for various damping ratios of the absorber. The results obtained indicate certain underestimation of the vibration level due to the deterministic and stochastic interactions neglecting.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

20101 - Civil engineering

Projekt

<a href="/cs/project/GA19-21817S" target="_blank" >GA19-21817S: Neholonomní interakce a dynamická stabilita aeroelastických soustav</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2019

Kód důvěrnosti údajů

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

Název statě ve sborníku

COMPDYN Proceedings. 7th International Conference on Computational Methods in Structural Dynamics and Earthquake

ISBN

978-618828446-3

ISSN

2623-3347

e-ISSN

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Počet stran výsledku

13

Strana od-do

808-820

Název nakladatele

National Technical University of Athens

Místo vydání

Atheny

Místo konání akce

Hersonissos

Datum konání akce

24. 6. 2019

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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