A new approach for suppression and control of mechanical vibration in cantilevered structures undergoing cyclic motion is presented [1]. The proposed model is based on the idea of generating axial uniform distributed forces on the superficial fibers of the vibrating structure. These forces are imposed on structure in such way that their vertical components act in a direction always opposing the rotation of the vibrating elements of the structure. Moreover, the damping level according to this model is dependent on the axial force value. Equation of motion for the new model are obtained where, the effectiveness of this model for reducing lateral vibration of a base excited cantilevered beam is determined theoretically at different force values. It is shown that the higher the force value, the higher the attenuation percentage. The new model is characterized by its simplicity, which enhances its reliability and reduce its cost, as it provide the desired results with higher reliability and low cost, compared with other approaches of active and intelligent structural designs.