Experimental Spatial Dynamics Modeling (ESDM) is the new process of constructing a three dimensional, complex-valued dynamic model of a harmonically vibrating structure using numerical models and laser-based experimental data obtained from a Scanning Laser Doppler Vibrometer (SLDV). In ESDM process, a finite element formulation is used to construct a numerical model of a structure. A conventional finite element such as rod, beam, or plate element, can be used to construct the numerical model of a structure from its mid-plane. In this research, the damped flat shell element is developed to construct the numerical models of a cantilever beam and a simply supported flat plate. The velocity transformation function developed in this research will make possible to use the FE model, constructed by the damped flat shell element, and the laser-based experimental data within a framework of ESDM in the consistent manner. / Master of Science