Currently, in connection with the latest events in Ukraine, it is especially urgent to solve the problem of reducing the likelihood of injury of members of the armored vehicles crews for various purpose while service and combat mission execution, in the case of blowing up by land mines and other explosive devices. The problem lies in the presence of a wide range of perturbing factors of external and internal origin, which affect crews that makes it difficult to meet the simultaneous requirements of comfort and protection from injury. According to the requirements of comfortableness, it is necessary to ensure a minimum level of fatigue of crew members connected with accelerations experienced by a person at fluctuations and repeatability of these accelerations. In this case, the condition of a good smoothness of movement is considered to be the magnitude of the natural frequency, which is customary from the standpoint of human physiology - the frequency of disturbance when walking, which is normal for a person’s feelings. According to the requirements to protection from injury in case of mine explosions, it is necessary not to exceed the allowable level of acceleration. To solve the problem, a mathematical model of the “operator-workplace-machine” subsystem has been developed. It is shown that taking into account the characteristics of materials of elastic-damping connections (in this case, rubber, damping properties of which essentially depend on the frequency of the disturbing factor), contributes to the grounded definition of rational parameters of a subsystem subjected to the action of disturbing power factors of different nature, based on the applied methodology of its manifestations of objects. Theoretically obtained results, in the form of oscillograms of working processes, do not contradict the theory and practice of the reaction of natural objects of the considered type to disturbances.