Averaging-based characteristics of the response induced by combined random and harmonic excitation

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378297%3A_____%2F24%3A00577909" target="_blank" >RIV/68378297:_____/24:00577909 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1007/978-981-99-5922-8_18" target="_blank" >https://doi.org/10.1007/978-981-99-5922-8_18</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/978-981-99-5922-8_18" target="_blank" >10.1007/978-981-99-5922-8_18</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Averaging-based characteristics of the response induced by combined random and harmonic excitation

Popis výsledku v původním jazyce

Slender engineered structures are sensitive to unwanted vibration effects mainly due to their soft nature. With respect to physical laws, the response of the structure reaches different non-linear modes which depend on the ratio or difference of natural and excitation frequencies. The non-stationary response near the lock-in region is quasi-periodic in nature, with the frequency of beating varying with the change in distance from the locking interval. This property is naturally affected by the assumption of combined random and harmonic excitation. In the paper, several details that contribute to the probabilistic characteristics of the system on a slow time scale are described using partial amplitudes of the response. The problem is illustrated with a non-linear SDOF oscillator of the van der Pol type, where the additive excitation combines harmonic and random components. In the stochastic averaging method, the expression for the response is written in trigonometric form using partial amplitudes. The solution to the Fokker–Planck equation for the cross-PDF of the partial amplitudes is found using the Galerkin approximation.

Název v anglickém jazyce

Averaging-based characteristics of the response induced by combined random and harmonic excitation

Popis výsledku anglicky

Slender engineered structures are sensitive to unwanted vibration effects mainly due to their soft nature. With respect to physical laws, the response of the structure reaches different non-linear modes which depend on the ratio or difference of natural and excitation frequencies. The non-stationary response near the lock-in region is quasi-periodic in nature, with the frequency of beating varying with the change in distance from the locking interval. This property is naturally affected by the assumption of combined random and harmonic excitation. In the paper, several details that contribute to the probabilistic characteristics of the system on a slow time scale are described using partial amplitudes of the response. The problem is illustrated with a non-linear SDOF oscillator of the van der Pol type, where the additive excitation combines harmonic and random components. In the stochastic averaging method, the expression for the response is written in trigonometric form using partial amplitudes. The solution to the Fokker–Planck equation for the cross-PDF of the partial amplitudes is found using the Galerkin approximation.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

20101 - Civil engineering

Projekt

<a href="/cs/project/GC21-32122J" target="_blank" >GC21-32122J: Monitorování stavu závěsné mostni konstrukce skenování vozidlem</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 15th International Conference on Vibration Problems. ICoVP 2023

ISBN

978-981-99-5921-1

ISSN

2195-4356

e-ISSN

2195-4356

Počet stran výsledku

12

Strana od-do

191-202

Název nakladatele

Springer

Místo vydání

Singapore

Místo konání akce

Doha

Datum konání akce

5. 2. 2023

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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