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Damping optimization of the excited mechanical system using dimension reducti (CROSBI ID 321600)

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Tomljanović, Zoran Damping optimization of the excited mechanical system using dimension reducti // Mathematics and computers in simulation, 207 (2023), 24-40. doi: 10.1016/j.matcom.2022.12.017

Podaci o odgovornosti

Tomljanović, Zoran

engleski

Damping optimization of the excited mechanical system using dimension reducti

We consider a mechanical system excited by a periodic external force. The main problem is to determine the best damping matrix to be able to minimize the system average displacement amplitude. Damping optimization usually includes optimization of damping positions and corresponding damping viscosities. Since the objective function is non-convex, a standard optimization approach requires a large number of objective function evaluations. We first propose a dimension reduction approach that calculates approximation of the average displacement amplitude and additionally we efficiently use a low rank update structure that appears in the external damping matrix. Moreover, an error bound which allows determination of appropriate approximation orders is derived and incorporated within the optimization method. We also present a theoretical error bound that allows determination of effective damping positions. The methodology proposed here provides a significant acceleration of the optimization process. The gain in efficiency is illustrated in numerical experiments.

damping optimization ; average displacement amplitude ; mechanical system ; dimension reduction

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Podaci o izdanju

207

2023.

24-40

objavljeno

0378-4754

1872-7166

10.1016/j.matcom.2022.12.017

Povezanost rada

nije evidentirano

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