Open AccessSpectral Analysis of Translation-Invariant Mechanical Systems with Application to Structural Vibrations and Stability
Author(s) -
Н. В. Баничук,
Alexander Barsuk,
S. Yu. Ivanova,
Tero Tuovinen
Publication year - 2021
Publication title -
international journal of mechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.16
H-Index - 20
ISSN - 1998-4448
DOI - 10.46300/9104.2021.15.28
Subject(s) - invariant (physics) , vibration , translation (biology) , spectral analysis , stability (learning theory) , spectral properties , context (archaeology) , structural stability , mathematics , computer science , physics , structural engineering , engineering , acoustics , chemistry , geology , mathematical physics , paleontology , biochemistry , quantum mechanics , machine learning , spectroscopy , messenger rna , astrophysics , gene
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.