Damping Optimization for Linear Vibrating Systems Using Dimension Reduction (CROSBI ID 578141)
Prilog sa skupa u zborniku | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Benner, Peter ; Tomljanović, Zoran ; Truhar Ninoslav
engleski
Damping Optimization for Linear Vibrating Systems Using Dimension Reduction
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.
Damping optimization; Optimal dampers' positions; Lyapunov equation;
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Podaci o prilogu
297-305.
2011.
objavljeno
Podaci o matičnoj publikaciji
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
978-94-007-2068-8
Podaci o skupu
The 10th International Conference on Vibration Problems
predavanje
05.09.2011-08.09.2011
Prag, Češka Republika