A half scale physical model (Model Dome) of one of the timbrel domes located in the Nebraska State Capitol is constructed at the Peter Kiewit Institute-Structures Laboratory of the University of Nebraska. The Model Dome represents the unique construction style of concentric timbrel domes. The final dome is to comprise of three-layers of thin clay tiles, however, currently it is formed of a single layer of tiles, as the project is in progress. Using experimental modal analysis techniques, the possibilities of extracting system characteristics are investigated. The system characteristics of interest are natural frequency, mode shapes and component stiffness values. Moreover, several experiments are conducted to study the relationships between these parameters, such as testing the dome with an external mass, i.e. varying the mass, while keeping the stiffness constant. The dome is also tested several times during the year and changes in the material characteristics due to environmental effects are taken into consideration. Three-dimensional finite element models are created for the Model Dome to aid in the material characteristic identification. The comparison of experimental and analytical results also leads to a more accurate simulation of the structural behavior of the actual system and allows for useful recommendations for the finite element modeling of these structures.