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

Authors: Nikolay V. Banichuk, Alexander A. Barsuk, Svetlana Yu. Ivanova, Tero T. Tuovinen

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.

Pages: 120-127

DOI: 10.46300/9104.2022.16.15

International Journal of Mechanics, E-ISSN: 1998-4448, Volume 16, 2022, Art. #15