"Drive with Hooks joints is a transverse oscilating evolutionary systém. The spectrum of natural frequencies relative lateral bending vibration quite considerable depending on the operating parameter of the drive, angular velocity of rotation of the PTO shaft. With increasing angular speed decreases relative values of the natural frequencies of oscillation. In some particular cases the decrease of 50%. This fact is especially dangerous drives which are in operation speed shafts move in just below the critical speed. It is then necessary to deal with not only the qestion of the resonances of speed, but also the analysis of dynamic deformation and other state variables in the different sections of the shaft. Used and checkout method of transfer matrices can be advantageously used also for the rotating parts of the gear pumps whose shafts are held flexural vibrations during rotation."