Abstract:In order to diagnose the damage of longspan spatial steel structures, a three-stage damage diagnosis approach was proposed. In three stages, the potentially damaged regions, potentially damaged elements, and damage severity were successively determined. A flexibilitymatrixbased damage index FDI (flexibility difference index) was developed to determine damage regions, the damage locating vectors method was utilized to locate damaged elements, and the secondorder eigensensitivity analysis was employed to estimate the damage severity. Then according to the results of elastoplastic time history analyses of the steel roof structure of National Stadium, three damage patterns were simulated. Furthermore, numerical simulated analyses of damage diagnosis of the steel roof structure of National Stadium was carried out. The result showed that the threestage damage diagnosis approach could effectively diagnose the seismic damage of longspan spatial structures.