Applied for automated assembly the displacement of the part under controlled dry friction is analyzed. The paper deals with vibrational non - impact displacement of a mobile - based body when the body is subjected to kinematical excitement. Based on a simplified dynamic model of vibratory displacement under controlled dry friction the areas of the system and excitation parameters sets exist with different motion regimes and when controlling dry friction at particular time intervals. There were formed dependencies of vibratory displacement from dynamic system and excitation parameters. Based on performed part–to–part positioning analysis were designed schemas of vibratory assembly devices under controlled of the dry friction those may be used for joining of the cylindrical part