Vibration machines make up a large class of construction and road construction equipment. The improvement of vibration machines is carried out in the direction of improving the vibration device as the main working body of the machine. For a long time, vibrators with circular vibrations are used as vibration devices, the effectiveness of which is not always sufficient when performing special work on immersing piles into and removing them from the soil. The priority area of development and creation of vibration devices for technological processes in the coming years is mechanisms with asymmetric oscillations. Vibration devices with asymmetric oscillations can significantly increase the efficiency of using vibration machines due to the fact that the driving force aimed at performing useful work exceeds the magnitude of the driving force directed at idling several times. However, at present there is no method for determining and calculating the parameters of vibration devices with asymmetric oscillations instead of circular vibrators. The purpose of the article is to consider a method for designing vibrational devices with asymmetric oscillations, based on the method of expanding a given function of changing the value of the total driving force into a Fourier series, the terms of which are the values of the driving forces generated by each stage of a multi-stage vibration mechanism. The study is based on classical analytical and numerical methods. The results obtained allows to use the methodology for evaluating the design method of a vibration device with asymmetric vibrations at the design stage and to evaluate the effectiveness of the designed vibration device.