Using AR Model and Theory of Curvature Modal Shape to Study Damage Detection of Cantilever Beam

Problems of damage detection in structural engineering are a major research topic. Beams have extensive applications in structures. For example, bridges and buildings are about that. The use of beam structure already exists in many safety testing methods. The development of structural system identification plays a good role in these fields in recent years. With the references of damage detection by structures modal parameters, its content are more about using finite element method to simulate damage detection. This thesis consider a way to detect the injury situation of cantilever structure through modal parameters obtained from system identification and the curvature modal shape theory.
This thesis uses the Autoregressive model and the state-space system to identify modal parameters of cantilever beam structure and estimate its coefficient of Rayleigh damping. With the above steps, this thesis create finite element model to be similar to the actual cantilever beam. By generating responses of damaged and undamaged cantilever beams from a computer program, we can simulate the damage detection based on curvature modal shapes. The results showed that the proposed method for the variety injury situations has a good effect.