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From approximation of dissipative systems to semipassive vibration damping and control: an illustration

Olga Chekeres and Vladimir Salnikov
Vol. 13 (2025), No. 4, 437–446
DOI: 10.2140/memocs.2025.13.437
Abstract

In this paper we study the consequences of the results of approximation of dissipative systems within the framework of Lagrangian formalism. Namely, we present applications of them to control and damping of vibrations in complex systems. On this simple example, we promote the idea that dissipative and coupled systems can be treated on equal footing within the framework of one general formalism.

Keywords
dissipative Lagrangian, approximation, space-time formalism, representative volume element, Vibration, damping
Mathematical Subject Classification
Primary: 37J06
Secondary: 70S05, 74H45
Milestones
Received: 23 March 2025
Revised: 7 May 2025
Accepted: 29 May 2025
Published: 19 September 2025

Communicated by Francesco dell'Isola
Authors
Olga Chekeres
MeMoCS Center
University of L’Aquila
67100 L’Aquila
Italy		 LaSIE
CNRS / La Rochelle University
avenue Michel Crépeau
17042 La Rochelle
France
Vladimir Salnikov
LaSIE
CNRS / La Rochelle University
avenue Michel Crépeau
17042 La Rochelle
France
© 2025 MSP (Mathematical Sciences Publishers).