A Sequential Data Assimilation for Elemental Stiffness Ratio in Plane Stress Model by Using Extended Kalman Filter and Its Application to Damage Detection

Abstract

A sequential data assimilation for elemental stiffness ratio in plane stress model and its application to damage detection are presented. In this research, stiffness parameters in each finite element are estimated as a state vector in the extended Kalman filter. The stiffness parameter distributions estimated over finite element model are utilized to detect regions damaged. A numerical example, where stiffness parameters in a rectangular plate with damage is estimated, is given to verify the effectiveness of the presented approach. The experimental results indicate that the damage can be detected based on the stiffness parameter distributions estimated, where the parameters are reduced in damaged regions and are almost unchanged in other regions.