Approximate complex eigensolution of proportionally damped linear systems supplemented with a passive damper

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378297%3A_____%2F17%3A00478712" target="_blank" >RIV/68378297:_____/17:00478712 - isvavai.cz</a>

Výsledek na webu

<a href="http://www.sciencedirect.com/science/article/pii/S187770581733850X" target="_blank" >http://www.sciencedirect.com/science/article/pii/S187770581733850X</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.proeng.2017.09.360" target="_blank" >10.1016/j.proeng.2017.09.360</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Approximate complex eigensolution of proportionally damped linear systems supplemented with a passive damper

Popis výsledku v původním jazyce

An approximate and numerically efficient method is developed to complex eigenproblem associated with the discrete proportionally damped systems equipped with a passive damper. The presence of the damper changes the dissipative character of the complete system and makes it non-proportionally damped. The eigenanalysis of such systems is conventionally performed in a space of twice the system's dimension. This makes analysis costly, particularly for large systems. The proposed method avoids using this numerically demanding state-space formulation. The determination of complex eigenvalues is based on the approximate solution of the characteristic equation that is derived in the modal space. The perturbation approach is adopted to reflect the differences in the eigenvalues of proportionally and non-proportionally damped systems. The complex eigenvectors are calculated afterwards with the use of a significantly reduced modal system and obtained eigenvalues. The proposed procedure is easily programmable and enables the calculation of the individual complex eigenvalues and eigenmodes separately, which significantly reduces computational time.

Název v anglickém jazyce

Approximate complex eigensolution of proportionally damped linear systems supplemented with a passive damper

Popis výsledku anglicky

An approximate and numerically efficient method is developed to complex eigenproblem associated with the discrete proportionally damped systems equipped with a passive damper. The presence of the damper changes the dissipative character of the complete system and makes it non-proportionally damped. The eigenanalysis of such systems is conventionally performed in a space of twice the system's dimension. This makes analysis costly, particularly for large systems. The proposed method avoids using this numerically demanding state-space formulation. The determination of complex eigenvalues is based on the approximate solution of the characteristic equation that is derived in the modal space. The perturbation approach is adopted to reflect the differences in the eigenvalues of proportionally and non-proportionally damped systems. The complex eigenvectors are calculated afterwards with the use of a significantly reduced modal system and obtained eigenvalues. The proposed procedure is easily programmable and enables the calculation of the individual complex eigenvalues and eigenmodes separately, which significantly reduces computational time.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

20102 - Construction engineering, Municipal and structural engineering

Projekt

<a href="/cs/project/GA15-01035S" target="_blank" >GA15-01035S: Dynamická stabilita a post-kritické procesy v nekonzervativních a neholonomních stochastických soustavách s interakcemi</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2017

Kód důvěrnosti údajů

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

Název statě ve sborníku

Procedia Engineering

ISBN

—

ISSN

1877-7058

e-ISSN

—

Počet stran výsledku

6

Strana od-do

1677-1682

Název nakladatele

Elsevier

Místo vydání

Amsterdam

Místo konání akce

Řím

Datum konání akce

10. 9. 2017

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

000422868901137