Structural damage identification method based on uncertain static data

A non-probabilistic structural damage identification algorithm based on static strain energy (SSE) is presented in this paper. In order to overcome the shortcoming of traditional uncertainty quantification methods in modeling nondeterministic parameters, this paper adopts the non-probabilistic interval analysis approach to deal with the system uncertainties. Once the interval bounds of structural parameters and displacement responses are achieved, this approach can effectively predict the range of SSE by interval parameter perturbation method. Furthermore, a damage criterion, named as SSEPoDE, is proposed by combining SSE with the possibility of damage existence (PoDE). Meanwhile, a simple but effective method to select the best load case in identification process is also presented. A numerical example is provided to demonstrate the applicability and validity of the proposed method and to solve the damage identification problem in engineering.