The proposed work is devoted to the analysis of the operation of damping elements in a quadrocopter, shock-absorbing vibration of engines with pulling screws (as sources of vibration), and of a controller that is protected from vibration. For analysis, a 3-mass quadrocopter model and the method of electromechanical analogies are used. The purpose of the study is to determine the degree of suppression by the damping elements used the vibrations propagating from the working engines to the controller. The purpose is also to determine the parameters of the damping elements at which the maximum vibration suppression in the used construction of the real quadrocopter under consideration is ensured. The proposed approach to the analysis of the shock absorbers in specific mechanical systems allows you to clearly demonstrate how important it is to choose the damping elements’ parameters, especially in systems with several degrees of freedom.