This article summarizes a numerical and mathematical comparison between filled and hollow X-shape plates to develop a new steel energy dissipative damper for structures protection of earthquakes. The plate is a weld from two ends. Energy is dissipated through flexural yielding when the plate is subjected to inelastic cyclic deformation. The performance of the plate was verified by five models by software ABAQUS and plastic mechanism analysis. Results showed that the plate exhibited stable hysteresis and dissipate energy with excellent values. It is Important to say all dimensions of plates and quality of steel are verified by international articles. This article's interest lies in studying the effect of openings on plate's dissipation energy.