AN EFFICIENT METHOD FOR ESTIMATING THE OPTIMALDAMPERS' VISCOSITY FOR LINEAR VIBRATING SYSTEMS USING LYAPUNOV EQUATION

摘要

This paper deals with an efficient algorithm for dampers' viscosity optimization inmechanical systems. Our algorithm optimizes the trace of the solution of the corresponding Lyapunovequation using an iterative method which calculates a low rank Cholesky factor for the solution ofthe corresponding Lyapunov equation. We have shown that the new algorithm calculates the tracein 0(m) flops per iteration, where m is a dimension of matrices in the Lyapunov equation (ourcoefficient matrices are treated as dense).