Spectral Analysis of Translation-Invariant Mechanical Systems with Application to Structural Vibrations and Stability

Banichuk Nikolay; Barsuk Alexander A.; Ivanova S.; Tuovinen Tero

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2022-06-01 10:37

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BANICHUK, Nikolay, BARSUK, Alexander A., IVANOVA, S., TUOVINEN, Tero. Spectral Analysis of Translation-Invariant Mechanical Systems with Application to Structural Vibrations and Stability. In: International Journal of Mechanics, 2021, nr. 15, pp. 246-253. ISSN 1998-4448. DOI: https://doi.org/10.46300/9104.2021.15.28

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International Journal of Mechanics

Numărul 15 / 2021 / ISSN 1998-4448

Spectral Analysis of Translation-Invariant Mechanical Systems with Application to Structural Vibrations and Stability

DOI:https://doi.org/10.46300/9104.2021.15.28

Pag. 246-253

Banichuk Nikolay¹, Barsuk Alexander A.², Ivanova S.¹, Tuovinen Tero³

¹ Institut pe Probleme Mecanice, Academia de Stiinte a Rusiei,
² Moldova State University,
³ Department of Mathematical Information Technology, University of Jyvaskyla

Disponibil în IBN: 4 februarie 2022

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The paper considers the problems and the methods of spectral analysis of elastic structural systems. The presented consideration focuses on the translation-invariant spectral formulations. Some periodic representations and the spectral decomposition are derived. In the context of general analysis of translation-invariant systems, the particular problems of structural vibration and stability are solved in analytical form.

Cuvinte-cheie
Mechanical Systems, spectral analysis, stability, Structural Vibrations

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<dc:creator>Banichuk, N.V.</dc:creator>
<dc:creator>Barsuc, A.A.</dc:creator>
<dc:creator>Ivanova, S.Y.</dc:creator>
<dc:creator>Tuovinen, T.T.</dc:creator>
<dc:date>2021-11-08</dc:date>
<dc:description xml:lang='en'><p>The paper considers the problems and the methods of spectral analysis of elastic structural systems. The presented consideration focuses on the translation-invariant spectral formulations. Some periodic representations and the spectral decomposition are derived. In the context of general analysis of translation-invariant systems, the particular problems of structural vibration and stability are solved in analytical form.&nbsp;</p></dc:description>
<dc:identifier>10.46300/9104.2021.15.28</dc:identifier>
<dc:source>International Journal of Mechanics  (15) 246-253</dc:source>
<dc:subject>Mechanical Systems</dc:subject>
<dc:subject>spectral analysis</dc:subject>
<dc:subject>stability</dc:subject>
<dc:subject>Structural Vibrations</dc:subject>
<dc:title>Spectral Analysis of Translation-Invariant Mechanical Systems with Application to Structural Vibrations and Stability</dc:title>
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