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An efficient method for estimating the optimal dampers' viscosity for linear vibrating systems using Lyapunov equation (CROSBI ID 130621)

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Truhar, Ninoslav ; Veselić, Krešimir An efficient method for estimating the optimal dampers' viscosity for linear vibrating systems using Lyapunov equation // SIAM journal on matrix analysis and applications, 31 (2009), 1; 18-39

Podaci o odgovornosti

Truhar, Ninoslav ; Veselić, Krešimir

engleski

An efficient method for estimating the optimal dampers' viscosity for linear vibrating systems using Lyapunov equation

This paper deals with an efficient algorithm for dampers' viscosity optimization in mechanical systems. Our algorithm optimizes the trace of the solution of the corresponding Lyapunov equation using an iterative method which calculates a low rank Cholesky factor for the solution of the corresponding Lyapunov equation. We have shown that the new algorithm calculates the trace in $\mathcal{; ; ; ; ; O}; ; ; ; ; (m)$ flops per iteration, where $m$ is a dimension of matrices in Lyapunov equation (our coefficient matrices are treated as dense).

damped vibration; Lyapunov equation; optimization of viscosities of dampers

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Podaci o izdanju

31 (1)

2009.

18-39

objavljeno

0895-4798

Povezanost rada

Matematika