An Application of Gram-Schmidt Process on Structural Modal Parameters Identification

Abstract

Structural modal parameters identification based on the measured responses of structure is a major topic for structural health monitoring. This work presents the use of a Gram-Schmidt process to improve. the accuracy of the identified modal parameters. The wavelet transforms is applied to the measured acceleration responses of a structural system, and to reconstruct the autoregressive with exogenous input (ARX) model in wavelet domain. Next, the identified modal parameters would be calculated from the coefficients matrix. Finally, correcting the identified mode shapes via Gram-Schmidt process. The accuracy of this procedure is numerically confirmed; the effects of the wavelet parameters and noise on the ability to accurately estimate the dynamic characteristics are also investigated.