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From
approximation of dissipative systems to semipassive vibration
damping and control: an illustration
Olga Chekeres and Vladimir Salnikov |
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Vol. 13 (2025), No. 4, 437–446
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Abstract |
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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. |
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Keywords
dissipative Lagrangian, approximation, space-time
formalism, representative volume element, Vibration,
damping
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Mathematical Subject Classification
Primary: 37J06
Secondary: 70S05, 74H45
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Milestones
Received: 23 March 2025
Revised: 7 May 2025
Accepted: 29 May 2025
Published: 19 September 2025
Communicated by Francesco dell'Isola
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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 |
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| © 2025 MSP (Mathematical Sciences Publishers). |
