title: ÐÐ»Ð¸ÑÐ½Ð¸Ðµ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² Ð¸ÑÑ Ð¾Ð´Ð½Ð¾Ð³Ð¾ ÐºÐ¾Ð½ÑÑÑÐ° Ð½Ð° ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½Ñ ÑÐ¾ÑÐ¼Ñ Ð·ÑÐ±Ð° Ð·ÑÐ±ÑÐ°ÑÐ¾Ð³Ð¾ ÐºÐ¾Ð»ÐµÑÐ°
title: The influence of the parameters of the intial contour on the coefficient of the tooth shape of the gear
Creators: name: ÐÑÐµÐ½ÐºÐ¾, Ð.
name: ÐÐ³Ð¾ÑÐ¾Ð², ÐÐ²Ð°Ð½
name: ÐÐ²Ð°Ð½Ð¾Ð²Ð°, ÐÐ°Ð»Ð¸Ð½Ð°
name: "ÐÐ½ÑÐµÐ»Ð»ÐµÐºÑÑÐ°Ð»ÑÐ½Ð°Ñ ÑÑÐ¸Ð±Ð¾Ð»Ð¾Ð³Ð¸Ñ Ð² Ð¼Ð°ÑÐ¸Ð½Ð¾ÑÑÑÐ¾ÐµÐ½Ð¸Ð¸: BALT TRIBO 2024", Ð¼ÐµÐ¶Ð´ÑÐ½Ð°ÑÐ¾Ð´Ð½Ð°Ñ Ð½Ð°ÑÑÐ½Ð¾-Ð¿ÑÐ°ÐºÑÐ¸ÑÐµÑÐºÐ°Ñ ÐºÐ¾Ð½ÑÐµÑÐµÐ½ÑÐ¸Ñ (2024; Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³)
Publisher: name: ÐÐÐÐÐ¢ÐÐ¥-ÐÐ ÐÐ¡Ð¡
Year: 2024
Subjects: ÐÑÐ±ÑÐ°ÑÑÐµ ÐºÐ¾Ð»ÐµÑÐ°
Ð¸ÑÑ Ð¾Ð´Ð½ÑÐ¹ ÐºÐ¾Ð½ÑÑÑ
Ð·ÑÐ±ÑÐ°ÑÐ¾Ðµ Ð·Ð°ÑÐµÐ¿Ð»ÐµÐ½Ð¸Ðµ
ÑÐ²Ð¾Ð»ÑÐ²ÐµÐ½ÑÐ°
Ð¸Ð·Ð³Ð¸Ð±Ð½ÑÐµ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ñ
initial contour
gearing
involute
bending stresses

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð²Ð»Ð¸ÑÐ½Ð¸Ñ Ð¸ÑÑÐ¾Ð´Ð½Ð¾Ð³Ð¾ ÐºÐ¾Ð½ÑÑÑÐ° Ð½Ð° ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½Ñ ÑÐ¾ÑÐ¼Ñ Ð·ÑÐ±Ð° Ð¿ÑÐ¸ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ ÑÐ¸ÑÐ»Ð°Ñ Ð·ÑÐ±ÑÐµÐ² Ð¸ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ°Ñ ÑÐ¼ÐµÑÐµÐ½Ð¸Ñ. ÐÐ°Ð´Ð°ÑÐ¸, ÐºÐ¾ÑÐ¾ÑÑÐµ ÑÐµÑÐ°Ð»Ð¸ÑÑ Ð² ÑÐ¾Ð´Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ: 1. ÐÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ðµ ÐºÐ¾Ð¾ÑÐ´Ð¸Ð½Ð°Ñ ÑÐ¾ÑÐµÐº Ð¿ÑÐ¾ÑÐ¸Ð»ÐµÐ¹ Ð·ÑÐ±Ð° ÑÐ¸Ð»Ð¸Ð½Ð´ÑÐ¸ÑÐµÑÐºÐ¾Ð¹
ÑÐ²Ð¾Ð»ÑÐ²ÐµÐ½ÑÐ½Ð¾Ð¹ Ð¿ÐµÑÐµÐ´Ð°ÑÐ¸. 2. Ð Ð°ÑÑÐµÑ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ° ÑÐ¾ÑÐ¼Ñ Ð·ÑÐ±Ð° Ð¿ÑÐ¸ Ð·Ð°Ð´Ð°Ð½Ð¸Ð¸ Ð¿ÑÐ¾ÑÐ¸Ð»ÐµÐ¹ Ð·ÑÐ±ÑÐµÐ²
ÐºÐ¾Ð¾ÑÐ´Ð¸Ð½Ð°ÑÐ°Ð¼Ð¸ ÑÑÐ´Ð° ÑÐ¾ÑÐµÐº. 3. Ð¡ÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² ÑÐ°ÑÑÐµÑÐ¾Ð² Ð´Ð»Ñ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ Ð²Ð¸Ð´Ð¾Ð² Ð¸ÑÑÐ¾Ð´Ð½Ð¾Ð³Ð¾ ÐºÐ¾Ð½ÑÑÑÐ°. ÐÑÐ»Ð¸ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ñ Ð³ÑÐ°ÑÐ¸ÑÐµÑÐºÐ¸Ðµ ÑÑÐµÐ¼Ñ Ð¸ Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐ¸ Ð´Ð»Ñ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ° ÑÐ¾ÑÐ¼Ñ Ð·ÑÐ±Ð°. ÐÑÐ»Ð¸ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ñ ÑÐ°ÑÑÑÑÑ, Ð½Ð°Ð³Ð»ÑÐ´Ð½Ð¾ Ð¿Ð¾ÐºÐ°Ð·ÑÐ²Ð°ÑÑÐ¸Ðµ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ñ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ° ÑÐ¾ÑÐ¼Ñ Ð·ÑÐ±Ð° Ð¸ ÑÐ°Ð´Ð¸ÑÑÐ° ÐºÑÐ¸Ð²Ð¸Ð·Ð½Ñ Ð¿ÑÐ¸ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ ÑÐ¸ÑÐ»Ð°Ñ Ð·ÑÐ±ÑÐµÐ² Ð¸ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ°Ñ ÑÐ¼ÐµÑÐµÐ½Ð¸Ñ Ð² Ð·Ð¾Ð½Ðµ Ð¾Ð¿Ð°ÑÐ½Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ. ÐÐ½Ð°Ð»Ð¸Ð· Ð¿ÑÐ¾Ð²Ð¾Ð´Ð¸Ð»ÑÑ ÑÐ¸ÑÐ»ÐµÐ½Ð½ÑÐ¼ Ð¼ÐµÑÐ¾Ð´Ð¾Ð¼ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ð³Ð¾ Ð¾Ð±ÐµÑÐ¿ÐµÑÐµÐ½Ð¸Ñ MATLAB. Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð±ÑÐ»Ð¾ Ð¿ÑÐ¾Ð°Ð½Ð°Ð»Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ð¾ Ð²Ð»Ð¸ÑÐ½Ð¸Ðµ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² Ð¸ÑÑÐ¾Ð´Ð½Ð¾Ð³Ð¾ ÐºÐ¾Ð½ÑÑÑÐ° Ð½Ð° ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½Ñ ÑÐ¾ÑÐ¼Ñ Ð·ÑÐ±Ð° Ð¸ ÑÐ°Ð´Ð¸ÑÑ ÐºÑÐ¸Ð²Ð¸Ð·Ð½Ñ. ÐÐ° Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ð¸Ð¸ Ð¿ÑÐ¾Ð²ÐµÐ´ÑÐ½Ð½ÑÑ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ð¹ Ð±ÑÐ»Ð¸ ÑÐ´ÐµÐ»Ð°Ð½Ñ Ð²ÑÐ²Ð¾Ð´Ñ Ð¿Ð¾ Ð²ÑÐ±Ð¾ÑÑ ÑÑÐ°Ð½Ð´Ð°ÑÑÐ½Ð¾Ð³Ð¾ Ð¸ÑÑÐ¾Ð´Ð½Ð¾Ð³Ð¾ ÐºÐ¾Ð½ÑÑÑÐ°, ÐºÐ¾ÑÐ¾ÑÑÐ¹ Ð¿ÑÐ¸Ð²Ð¾Ð´Ð¸Ñ Ðº ÑÐ¼ÐµÐ½ÑÑÐµÐ½Ð¸Ñ Ð¸Ð·Ð³Ð¸Ð±Ð½ÑÑ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ð¹.
description: This work is devoted to the study of the influence of the initial contour on the coefficient of tooth shape at different numbers of teeth and displacement coefficients. Tasks that were solved during the study:
1. Determination of the coordinates of the points of the profiles of the cylindrical involute gear tooth.
2. Calculation of the tooth shape coefficient when setting tooth profiles by coordinates of a few points.
3. Comparison of calculation results for different types of the initial contour. Graphical schemes and dependencies were developed to determine the coefficient of tooth shape. Calculations were carried out that clearly show the values of the tooth shape coefficient and the radius of curvature at different numbers of teeth and displacement coefficients in the zone of dangerous cross-section. The analysis was carried out numerically using MATLAB software. As a result, the influence of the parameters of the initial contour on the tooth shape coefficient and the radius of curvature was analyzed. Based on the conducted studies, conclusions were drawn on the choice of a standard initial contour, which leads to a decrease in bending stresses.