Principle of Structural Restoration for Hagia

The present study includes 1) measurements of natural frequencies by ambient vibrations, 2) estimation of the Young's modulus for the used materials based on dynamic measurements for the domes and minarets, and 3) finite element three dimensional elasto-plastic analysis (FEM) in both cases of dead and earthquake loads, for the dome considering the effects of the supporting structure. The discussions on structural behaviors lead a principle for structural restoration for Hagia Sophia.