Structural characteristics of Hagia Sophia: II—A finite element formulation for dynamic analysis

The Hagia Sophia, a 6th century masonry edifice in Istanbul, is analysed with a linear finite element model including thickness shear deformations, the terms z/R, and rotatory inertia effects with consistent mass matrix to provide insight to the structure's behaviour under earthquake loading. The structure, including the primary main dome and supporting system, is modelled by using a two-dimensional model composed of eight-node shell element. The dynamic characteristics of the system are obtained by using the Wilson-θ method, step-by-step integration method, and also by applying the available ground motion data to understand its general structural behaviour in the future earthquakes.