Existence of analytical solution, stability assessment and periodic response of vibrating systems with time varying parameters

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F20%3A43960172" target="_blank" >RIV/49777513:23520/20:43960172 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.kme.zcu.cz/acm/acm/article/view/532/536" target="_blank" >https://www.kme.zcu.cz/acm/acm/article/view/532/536</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.24132/acm.2020.532" target="_blank" >10.24132/acm.2020.532</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Existence of analytical solution, stability assessment and periodic response of vibrating systems with time varying parameters

Popis výsledku v původním jazyce

The paper is focused on the solution of a vibrating system with one-degree-of-freedom with the objective to deal with the method for periodical response calculation (if exists) reminding Harmonic Balance Method of linear systems having time dependent parameters of mass, damping and stiffness under arbitrary periodical excitation. As a starting point of the investigation, a periodic Green’s function (PGF) construction of the stationary part of the original differential equation is used. The PGF then enables a transformation of the differential equation to the integro-differential one whose analytical solution is given in this paper. Such solution exists only in the case that the investigated system is stable and can be expressed in exact form. The second goal of the paper is to assess the stability and solution existence. For this purpose, a methodology of (in)stable parametric domain border determination is developed.

Název v anglickém jazyce

Existence of analytical solution, stability assessment and periodic response of vibrating systems with time varying parameters

Popis výsledku anglicky

The paper is focused on the solution of a vibrating system with one-degree-of-freedom with the objective to deal with the method for periodical response calculation (if exists) reminding Harmonic Balance Method of linear systems having time dependent parameters of mass, damping and stiffness under arbitrary periodical excitation. As a starting point of the investigation, a periodic Green’s function (PGF) construction of the stationary part of the original differential equation is used. The PGF then enables a transformation of the differential equation to the integro-differential one whose analytical solution is given in this paper. Such solution exists only in the case that the investigated system is stable and can be expressed in exact form. The second goal of the paper is to assess the stability and solution existence. For this purpose, a methodology of (in)stable parametric domain border determination is developed.

Druh

J_SC - Článek v periodiku v databázi SCOPUS

CEP obor

—

OECD FORD obor

20302 - Applied mechanics

Projekt

<a href="/cs/project/LO1506" target="_blank" >LO1506: Podpora udržitelnosti centra NTIS - Nové technologie pro informační společnost</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2020

Kód důvěrnosti údajů

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

Název periodika

Applied and Computational Mechanics

ISSN

1802-680X

e-ISSN

—

Svazek periodika

14

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

22

Strana od-do

123-144

Kód UT WoS článku

—

EID výsledku v databázi Scopus

2-s2.0-85100758423