The pursuit of reducing the weight and cost of products in the aerospace and automotive industries has led to the widespread use of thin-walled parts, the machining of which is a real challenge for production due to the vibrational phenomena that cause waviness of the machined surface. The paper is devoted to the study of the influence of one of the main parameters of the cutting conditions - feed rate - on the parameters of machined surface waviness which are pitch and height. It is shown that a certain nature of vibration phenomena depends on belonging to one of the five vibrational speed zones. A special type of free vibrations arising in the third speed zone and operating for a limited time - attendant free vibrations - is experimentally studied. It is confirmed that their parameters are transferred from the cutting surface to the machined surface as heredity and determine the waviness character. Increasing the feed rate leads to a decrease in the waviness pitch and has a mixed effect on its height. The work provides a theoretical basis for the selection of means for influencing vibration phenomena to improve the machined surface quality. The obtained results are analysed using dispersion and correlation analyses and are statistically significant.