Analytical periodic solution and stability assessment of 1 DOF parametric systems with time varying stiffness

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F14%3A43922712" target="_blank" >RIV/49777513:23520/14:43922712 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.amc.2014.05.089" target="_blank" >http://dx.doi.org/10.1016/j.amc.2014.05.089</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.amc.2014.05.089" target="_blank" >10.1016/j.amc.2014.05.089</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Analytical periodic solution and stability assessment of 1 DOF parametric systems with time varying stiffness

Popis výsledku v původním jazyce

The presented paper deals with an approach to analytical periodic solution and to stability assessment of one-degree-of-freedom linear vibrating systems. It is supposed that these systems are excited by the time periodic force and contain time periodic stiffness. The periodic Green's function determined as a response to a Dirac chain of unit impulses repeating with period of excitation is used to transform the equation of motion into the Fredholm integral equation with degenerated kernel. If the Dirac chain is expressed as a Fourier series and a limited number of terms is taken into account, the solution of the integral equation can also be obtained in a series form. It has been found that the real eigenvalues of the system matrix determine the critical values of the fluctuation stiffness parameter. The values of this real parameter correspond to the borders of (in)stability in the plane given by the variation of the angle frequency and of the fluctuation stiffness parameter. Moreover,

Název v anglickém jazyce

Analytical periodic solution and stability assessment of 1 DOF parametric systems with time varying stiffness

Popis výsledku anglicky

The presented paper deals with an approach to analytical periodic solution and to stability assessment of one-degree-of-freedom linear vibrating systems. It is supposed that these systems are excited by the time periodic force and contain time periodic stiffness. The periodic Green's function determined as a response to a Dirac chain of unit impulses repeating with period of excitation is used to transform the equation of motion into the Fredholm integral equation with degenerated kernel. If the Dirac chain is expressed as a Fourier series and a limited number of terms is taken into account, the solution of the integral equation can also be obtained in a series form. It has been found that the real eigenvalues of the system matrix determine the critical values of the fluctuation stiffness parameter. The values of this real parameter correspond to the borders of (in)stability in the plane given by the variation of the angle frequency and of the fluctuation stiffness parameter. Moreover,

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BI - Akustika a kmity

OECD FORD obor

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Projekt

<a href="/cs/project/ED1.1.00%2F02.0090" target="_blank" >ED1.1.00/02.0090: NTIS - Nové technologie pro informační společnost</a><br>

Návaznosti

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

Rok uplatnění

2014

Kód důvěrnosti údajů

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

Název periodika

Applied Mathematics and Computation

ISSN

0096-3003

e-ISSN

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Svazek periodika

243

Číslo periodika v rámci svazku

September 2014

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

14

Strana od-do

138-151

Kód UT WoS článku

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EID výsledku v databázi Scopus

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