Naslov
Damping Optimization for Linear Vibrating Systems Using Dimension Reduction

Autori
Benner, Peter ; Tomljanović, Zoran ; Truhar Ninoslav

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
The 10th International Conference on Vibration Problems ICOVP 2011, Springer Proceedings in Physics, Vol. 139, Springer-Verlag, 2011. / Náprstek, J. ; Horáček, J. ; Okrouhlík, M. ; Marvalová, B. ; Verhulst, F. ; Sawicki, J.T. - Prag : Springer, 2011, 297-305

ISBN
978-94-007-2068-8

Skup
The 10th International Conference on Vibration Problems

Mjesto i datum
Prag, Češka Republika, 05.09.2011. - 08.09.2011

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Damping optimization; Optimal dampers' positions; Lyapunov equation;

Sažetak
We consider a mathematical model of a linear vibrational system described by the second-order system of differential equations $M \ddot{; ; x}; ; + D \dot{; ; x}; ; + Kx = 0$, where M, K and D are positive deffinite matrices, called mass, stiffness and damping, respectively. We are interested in finding an optimal damping matrix which will damp a certain part of the undamped eigenfrequencies. For this we use a minimization criterion which minimizes the average total energy of the system. This is equivalent to the minimization of the trace of the solution of a corresponding Lyapunov equation. In this paper we consider an algorithm for the efficient optimization of the damping positions based on dimension reduction techniques. Numerical results illustrate the efficiency of our approach.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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