Spectral Analysis of Translation-Invariant Mechanical Systems with Application to Structural Vibrations and Stability-Reference-Cited by-同舟云学术

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

Published:2022-08-31 Issue: Volume:16 Page:120-127
ISSN:1998-4448
Container-title:International Journal of Mechanics
language:en
Short-container-title:

Author:

Banichuk Nikolay V.¹,Barsuk Alexander A.²,Ivanova Svetlana Yu.¹,Tuovinen Tero T.³

Affiliation:

1. Ishlinsky Institute for Problems in Mechanics RAS, Moscow, Russia

2. State University of Moldova, Chișinău, Moldova

3. JAMK University of Applied Sciences Jyväskylä, Jyväskylä, Finland

Abstract

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.

Publisher

North Atlantic University Union (NAUN)

Subject

Electrical and Electronic Engineering,General Physics and Astronomy

Reference12 articles.

1. Banichuk, N., Jeronen, J., Neittaanmäki, P., Saksa, T., Tuovinen, T. 2014. Mechanics of Moving Materials, Berlin/Heidelberg: Springer.

2. Banichuk, N., Barsuk, A., Jeronen, J., Tuovinen, T. Neittaanmäki, P. 2020. Stability of Axially Moving Materials, Berlin/Heidelberg: Springer.

3. Yakubovich, V.A., Starjinsky, V.M. 1972. Linear Differential Equations with Periodic Coefficients and Their Applications, Moscow: Nauka (in Russian).

4. Bolotin, V.V. 1963. Nonconservative Problem of the Theory of the Elastic Stability, New York: Pergamon Press.

5. Banichuk, N., Ivanova, S., Jeronen, J. “Moving web and dynamical problem of aerothermoelastic vibrations and instability,” D.A. Indeitsev and A.M Krivtsov (Eds.): APM 2019., LNME, pp.66–71, Springer Nature Switzerland AG. 2020.