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

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
Analytical periodic solution and stability assessment of 1 DOF parametric systems with time varying stiffness
Original language description
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,
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BI - Acoustics and oscillation
OECD FORD branch
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Project
<a href="/en/project/ED1.1.00%2F02.0090" target="_blank" >ED1.1.00/02.0090: NTIS - New Technologies for Information Society</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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