The study of rotative machines occupies an outstanding position in the context of machines and structures in view of the significant amount of typical phenomena in the operation of those equipments. The existence of a rotative component leaning by bearings and transmitting power and torque creates a family of problems that are found in the most several machines. Therefore, in the study of the dynamic behavior of those systems, it is necessary to be determined the interaction among all the components that affect in a significant way the dynamic behavior of the system.
It is proposed, this way, a simplified mathematical model, through the method of finite elements, of the Rotor-Bearing-Coupling system, considering the support structure or foundation practically rigid, in way to allow the analysis of the transverse or flexional vibrations of the system. With the purpose of analyzing the influence of the model of the coupling in the dynamic behavior of the system, a simplified model was considered to represent it in the mechanical systems. Usually, the coupling is modeled as a rigid disk, or as part of the shafts connected axially, disregarding its flexibility and capacity of damping the vibrations, coming of the shaft offset or misalignment of the shafts. However, little information exists about the dynamic behavior of the stiffness coefficients and of damping of the couplings, as well as of the forces and moments generated due to the misalignment in the same ones, and that are acting on the shaft of the mechanical systems. For its time, the dynamic coefficients as the forces and moments of reaction are influenced by the rotation and for the type and degree of misaligment of the shafts.