title: ÐÐ»Ð¸ÑÐ½Ð¸Ðµ Ð´Ð¾Ð¿Ð¾Ð»Ð½Ð¸ÑÐµÐ»ÑÐ½Ð¾Ð³Ð¾ ÑÐ¼ÐµÑÐµÐ½Ð¸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°ÑÐ¾Ð³Ð¾ ÐºÐ¾Ð»ÐµÑÐ°
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: The effect of additional displacement of the original profile on the tooth form factor of gears
Creators: name: ÐÐ°Ð½ Ð¨Ð¸Ñ ÑÐ½
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2023
Subjects: Ð¸ÑÑ Ð¾Ð´Ð½ÑÐ¹ ÐºÐ¾Ð½ÑÑÑ
Ð´oÐ¿oÐ»Ð½Ð¸ÑÐµÐ»ÑÐ½Ð¾Ðµ ÑÐ¼ÐµÑÐµÐ½Ð¸Ðµ
ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ° ÑÐ¾ÑÐ¼Ñ Ð·ÑÐ±Ð°
ÑÐ²Ð¾Ð»ÑÐ²ÐµÐ½ÑÐ½ÑÐµ ÑÐ¸Ð»Ð¸Ð½Ð´ÑÐ¸ÑÐµÑÐºÐ¸Ðµ Ð·ÑÐ±ÑÐ°ÑÑÐµ ÐºÐ¾Ð»ÐµÑa
Ð¸Ð·Ð³Ð¸Ð±Ð½ÑÐµ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ñ
Ð¿ÑÐ¾ÑÐ¸Ð»Ñ Ð·ÑÐ±Ð°
matlab
solidWorks
initial contour
additional displacement
tooth shape coefficient
involute cylindrical gears
bending stresses
tooth profile

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, Ð¼Ð¾Ð´ÑÐ»ÑÑ 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)Â 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Ð²Ð¾Ð»ÑÐ²ÐµÐ½ÑÐ½Ð¾Ð³Ð¾ ÑÐ¸Ð»Ð¸Ð½Ð´ÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾Â  Ð·ÑÐ±ÑÐ°ÑÐ¾Ð³Ð¾Â  ÐºÐ¾Ð»ÐµÑÐ°. 2)Â Ð Ð°ÑÑÐµÑ Ð¸Ð·Ð³Ð¸Ð±Ð½ÑÑ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ð¹ 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)Â Ð¡ÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² ÑÐ°ÑÑÐµÑÐ¾Ð² Ñ ÑÑÐµÑÐ¾Ð¼ Ð¸ Ð±ÐµÐ· ÑÑÐµÑÐ° Ð´Ð¾Ð¿Ð¾Ð»Ð½Ð¸ÑÐµÐ»ÑÐ½Ð¾Ð³Ð¾ ÑÐ¼ÐµÑÐµÐ½Ð¸Ñ Ð¸ÑÑÐ¾Ð´Ð½Ð¾Ð³Ð¾ ÐºÐ¾Ð½ÑÑÑÐ°. 4)Â Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ°Â  Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ð³Ð¾Â  Ð¾Ð±ÐµÑÐ¿ÐµÑÐµÐ½Ð¸ÑÂ  Ð´Ð»ÑÂ  ÑÑÐµÐ´ÑÂ  Matlab. ÐÐ½Ð°Ð»Ð¸Ð· Ð²Ð»Ð¸ÑÐ½Ð¸Ñ Ð´oÐ¿oÐ»Ð½Ð¸ÑÐµÐ»ÑÐ½Ð¾Ð³Ð¾ ÑÐ¼ÐµÑÐµÐ½Ð¸Ñ Ð¸ÑÑÐ¾Ð´Ð½Ð¾Ð³Ð¾ ÐºÐ¾Ð½ÑÑÑÐ° (EHs) Ð¸ Ð´oÐ¿ÑcÐºÐ° Ð½Ð° ÑÐ¼ÐµÑÐµÐ½Ð¸Ðµ Ð¸ÑÑÐ¾Ð´Ð½Ð¾Ð³Ð¾ ÐºÐ¾Ð½ÑÑÑÐ° (TH) Ð¿Ð¾ ÐÐÐ¡Ð¢ 1643-81, Ð½Ð° ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½Ñ ÑÐ¾ÑÐ¼Ñ Ð·ÑÐ±Ð° Ð´Ð»Ñ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ð¹ Ð¼Ð¾Ð´ÑÐ»ÐµÐ¹, ÑÐ¸ÑÐµÐ» Ð·ÑÐ±ÑÐµÐ² Ð¸ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ¾Ð² ÑÐ¼ÐµÑÐµÐ½Ð¸Ñ Ð¿Ð¾ÐºÐ°Ð·Ð°Ð½Ð¾, ÑÑÐ¾ Ð¾ÑÐ»Ð¸ÑÐ¸Ðµ ÑÐµÐ°Ð»ÑÐ½Ð¾Ð³Ð¾ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ¾Ð² ÑÐ¼ÐµÑÐµÐ½Ð¸Ñ Ð¾Ñ ÐµÐ³Ð¾ Ð½Ð¾Ð¼Ð¸Ð½Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ñ Ð¼Ð¾Ð¶ÐµÑ Ð¿ÑÐ¸Ð²ÐµÑÑÐ¸ Ðº ÑÐ²ÐµÐ»Ð¸ÑÐµÐ½Ð¸Ñ Ð¸Ð·Ð³Ð¸Ð±Ð½ÑÑ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ð¹: Ð² 1.2â¦1.6 ÑÐ°Ð·Ð° Ð¿ÑÐ¸ Ð¼Ð¾Ð´ÑÐ»Ðµ 1 Ð¼Ð¼; Ð² 1.1â¦1.4 ÑÐ°Ð·Ð° Ð¿ÑÐ¸ Ð¼Ð¾Ð´ÑÐ»Ðµ 1.5 Ð¼Ð¼; Ð² 1.1â¦1.3 ÑÐ°Ð·Ð° Ð¿ÑÐ¸ Ð¼Ð¾Ð´ÑÐ»Ðµ 2 Ð¼Ð¼;Â  Ð² 1.0â¦1.2 ÑÐ°Ð·Ð° Ð¿ÑÐ¸ Ð¼Ð¾Ð´ÑÐ»Ðµ 2.5 Ð¼Ð¼; Ð² 1.0â¦1.2 ÑÐ°Ð·Ð° Ð¿ÑÐ¸ Ð¼Ð¾Ð´ÑÐ»Ðµ 3 Ð¼Ð¼; Ð² 1.0â¦1.1 ÑÐ°Ð·Ð° Ð¿ÑÐ¸ Ð¼Ð¾Ð´ÑÐ»Ðµ 4 Ð¼Ð¼.
description: This article is dedicated to studying the influence of the original profile on the tooth form factor under different tooth numbers, modulus, and displacement coefficients. The objectives of this study are: 1)Â Determination of coordinate points for the tooth profile of involute cylindrical gears. 2)Â Calculation of bending stress in the tasks forÂ  a series of coordinate points of tooth profile. 3)Â Compare the calculation results whether or not to consider the additional displacement of the original profile. 4)Â Develop software for the MATLAB environment. According to ÐÐÐ¡Ð¢ 1643-81, analysis of the effect for the additional displacement of the initial contour(EHs) and the tolerance on the displacement of the original contour(TH), on the tooth form factor for different values of moduluses, numbers of teeth and displacement coefficients showed that the difference between the real displacement coefficients and its nominal value can lead to an increase in bending stresses: 1.2...1.6 times when the modulus is 1mm; 1.1...1.4 times when the modulus is 1.5mm; 1.1...1.3 times when the modulus is 2 mm; 1.0...1.2 times when the modulus is 2.5mm; 1.0...1.2 times when the modulus is 3mm; 1.0...1.1 times when the modulus is 4 mm.