Existence of analytical solution, stability assessment and periodic response of vibrating systems with time varying parameters
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Existence of analytical solution, stability assessment and periodic response of vibrating systems with time varying parameters
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
20302 - Applied mechanics
Result continuities
Project
<a href="/en/project/LO1506" target="_blank" >LO1506: Sustainability support of the centre NTIS - New Technologies for the Information Society</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Applied and Computational Mechanics
ISSN
1802-680X
e-ISSN
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Volume of the periodical
14
Issue of the periodical within the volume
2
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
22
Pages from-to
123-144
UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-85100758423