Dynamics, Durability of Machines, Instruments and Equipment
DOI: https://doi.org/10.24866/2227-6858/2021-3-3

Eliseev A., Kuznetsov N., Eliseev S.

ANDREY ELISEEV, Candidate of Engineering Sciences, Associate Professor (Corresponding Author),
ResearcherID: N-9357-2016, ORCID: 0000-0003-0222-2507, ScopusID: 57191957568, eavsh@ya.ru
NIKOLAY KUZNETSOV, Doctor of Engineering Sciences, Professor,
Head of the Department of Design and Standardization in Mechanical Engineering, ORCID: 0000-0002-3083-0182, knik@istu.edu
Irkutsk National Research Technical University
SERGEY ELISEEV, Doctor of Engineering Sciences, Professor, Advisor to the Rector's Office for Scientific Work,
ORCID: 0000-0001-6876-8786, eliseev_s@inbox.ru
Irkutsk State Transport University
Irkutsk, Russia

System analysis in the assessment of the dynamic states of technical objects:
dynamic vibration damping, connectivity of external excitations

Abstract: The scientific and methodological foundations of up-to-date machine dynamics are being developed within the framework of system analysis and methods of structural mathematical modeling. The goal is to develop methods for evaluating, monitoring, and forming dynamic states of objects that operate under vibration loads. The methods of mechanics are used to study mechanical oscillatory systems, which are considered as design schemes of technical objects of technological and transport purposes. Mathematical models are built on the basis of Lagrange equations of the second kind, Laplace integral transformations, and the possibilities of structural mathematical modeling. The technology of constructing mathematical models that allow using the possibilities of implementing dynamic vibration damping modes in systems is developed. A method for estimating the dynamic states in the modes of dynamic vibration damping in systems with two degrees of freedom under the action of two external forces acting together is developed. The results reflect the features of the dynamic damping modes, the dependence on the connectivity parameters of external harmonic perturbations. The results of numerical simulations are presented.

Keywords: mechanical oscillatory system, dynamic vibration damping, connectivity of external forces, transfer functions, devices for motion transformation.

Contribution of the authors: the authors contributed equally to this article.
The authors declare no conflicts of interests.

See the reference in English at the end of the article