Symmetric band structure preserving finite element model updating problem for undamped structural systems with no spill-over

Abstract

The greatest challenge for updating finite element models is to preserve the physical connectivity of the original model while ensuring that the updating is of no spill-over. In this paper, we will construct an iterative method to update mass and stiffness matrices simultaneously by utilizing modal test data and the linear projection operator $F_L$, where $L$ is the linear subspace of ${\mathrm{SR}}^{n\times n}$ consisting of all $n\times n$ sparse band matrices. After finite iteration steps, we obtain the updated model which can exactly reproduce the measured data. The method can preserve both no spill-over and symmetric band structure of the mass and stiffness matrices. Three numerical examples illustrate that the proposed method is accurate and efficient.