title: ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð½ÐµÑÐ°Ð²Ð½Ð¾Ð¼ÐµÑÐ½Ð¾ÑÑÐ¸ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ ÑÐ´ÐµÐ»ÑÐ½Ð¾Ð¹ Ð½Ð°Ð³ÑÑÐ·ÐºÐ¸ Ð¿Ð¾ ÑÐ¸ÑÐ¸Ð½Ðµ Ð·ÑÐ±ÑÐ°ÑÑÑ ÐºÐ¾Ð»ÐµÑ Ð² Ð·Ð°ÑÐµÐ¿Ð»ÐµÐ½Ð¸ÑÑ ÑÐµÐ´ÑÐºÑÐ¾ÑÐ¾Ð² Ð°Ð²Ð¸Ð°ÑÐ¸Ð¾Ð½Ð½ÑÑ Ð´Ð²Ð¸Ð³Ð°ÑÐµÐ»ÐµÐ¹
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Study of non-uniformity of distribution of specific load over the width of gears in gearbox meshes of aircraft engines.
Creators: name: ÐÐ°ÑÑÐ½Ð¸Ð½, ÐÐ»ÐµÐºÑÐ°Ð½Ð´Ñ
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: 2022
Subjects: Ð¼ÐµÑÐ¾Ð´ ÐºÐ¾Ð½ÐµÑÐ½ÑÑ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð²
ÐºÐ¾Ð¼Ð¿ÑÑÑÐµÑÐ½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
Ð·ÑÐ±ÑÐ°ÑÐ¾Ðµ Ð·Ð°ÑÐµÐ¿Ð»ÐµÐ½Ð¸Ðµ
ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½Ñ Ð½ÐµÑÐ°Ð²Ð½Ð¾Ð¼ÐµÑÐ½Ð¾ÑÑÐ¸ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð½Ð°Ð³ÑÑÐ·ÐºÐ¸ Ð¿Ð¾ ÑÐ¸ÑÐ¸Ð½Ðµ Ð·ÑÐ±ÑÐ°ÑÐ¾Ð³Ð¾ Ð²ÐµÐ½ÑÐ°
ÐºÐ¾ÑÐ¾Ð·ÑÐ±Ð¾Ðµ Ð·ÑÐ±ÑÐ°ÑÐ¾Ðµ ÐºÐ¾Ð»ÐµÑÐ¾
finite element method
computer simulation
gear meshing
load distribution factor over the width face
helical gear

description: Ð¢ÐµÐ¼Ð° Ð²ÑÐ¿ÑÑÐºÐ½Ð¾Ð¹ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ: Â«ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð½ÐµÑÐ°Ð²Ð½Ð¾-Ð¼ÐµÑÐ½Ð¾ÑÑÐ¸ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ ÑÐ´ÐµÐ»ÑÐ½Ð¾Ð¹ Ð½Ð°Ð³ÑÑÐ·ÐºÐ¸ Ð¿Ð¾ ÑÐ¸ÑÐ¸Ð½Ðµ Ð·ÑÐ±ÑÐ°ÑÑÑ ÐºÐ¾Ð»ÐµÑ Ð² Ð·Ð°ÑÐµÐ¿Ð»ÐµÐ½Ð¸ÑÑ ÑÐµÐ´ÑÐºÑÐ¾ÑÐ¾Ð² Ð°Ð²Ð¸Ð°ÑÐ¸Ð¾Ð½Ð½ÑÑ Ð´Ð²Ð¸Ð³Ð°ÑÐµÐ»ÐµÐ¹Â».Â ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐµ Ð¼ÐµÑÐ¾Ð´Ð° ÑÐ°ÑÑÐµÑÐ° ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ° Ð½Ðµ-ÑÐ°Ð²Ð½Ð¾Ð¼ÐµÑÐ½Ð¾ÑÑÐ¸ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð½Ð°Ð³ÑÑÐ·ÐºÐ¸ Ð¿Ð¾ ÑÐ¸ÑÐ¸Ð½Ðµ Ð·ÑÐ±ÑÐ°ÑÐ¾Ð³Ð¾ Ð²ÐµÐ½ÑÐ° Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð¼ÐµÑÐ¾Ð´Ð° ÐºÐ¾Ð½ÐµÑÐ½ÑÑ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð².Â ÐÐ»Ñ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² Ð¼ÐµÑÐ¾Ð´Ð¾Ð¼ ÐºÐ¾Ð½ÐµÑÐ½ÑÑ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð² (ÐÐÐ­) Ð±ÑÐ» Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½ Ð°Ð½Ð°Ð»Ð¸ÑÐ¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ°ÑÑÐµÑ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ° Ð½ÐµÑÐ°Ð²Ð½Ð¾Ð¼ÐµÑÐ½Ð¾ÑÑÐ¸ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð½Ð°Ð³ÑÑÐ·ÐºÐ¸ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ñ Kisssoft.Â ÐÐ¾Ð´Ð³Ð¾ÑÐ¾Ð²Ð»ÐµÐ½Ð° Ð¸ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ð° Ð³ÐµÐ¾Ð¼ÐµÑÑÐ¸Ñ Ð´Ð»Ñ ÑÑÐ°ÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° Ð·ÑÐ±ÑÐ°ÑÐ¾Ð¹ Ð¿Ð°ÑÑ ÑÐ¸Ð»Ð¾Ð²Ð¾Ð¹ Ð²ÐµÑÐºÐ¸ Ð°Ð²Ð¸Ð°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð³Ð¾ ÑÐµÐ´ÑÐºÑÐ¾ÑÐ°. Ð¡Ð¾Ð·Ð´Ð°Ð½Ð° ÑÐµÑÐ¾ÑÐ½Ð°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ ÑÐµÑÑÐµÑÐµÐ½ Ñ ÑÐ°Ð·Ð¼ÐµÑÐ¾Ð¼ ÐºÐ¾Ð½ÐµÑÐ½ÑÑ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð², Ð´Ð¾ÑÑÐ°ÑÐ¾ÑÐ½ÑÐ¼ Ð´Ð»Ñ Ð¾Ð¿Ð¸ÑÐ°Ð½Ð¸Ñ Ð¼Ð¸ÐºÑÐ¾Ð³ÐµÐ¾Ð¼ÐµÑÑÐ¸Ð¸ Ð·ÑÐ±ÑÐµÐ². ÐÐ° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð¿Ð¾Ð´Ð¾Ð±ÑÐ°Ð½Ð½ÑÑ Ð³ÑÐ°Ð½Ð¸ÑÐ½ÑÑ ÑÑÐ»Ð¾Ð²Ð¸Ð¹ Ð¸ Ð½Ð°Ð³ÑÑÐ·Ð¾Ðº Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð° ÑÐµÑÐ¸Ñ ÑÑÐ°ÑÐ¸ÑÐµÑÐºÐ¸Ñ ÑÐ°ÑÑÐµÑÐ¾Ð² ÐÐÐ­. ÐÐ±ÑÐ°Ð±Ð¾ÑÐºÐ° Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² Ð²ÐºÐ»ÑÑÐ°Ð»Ð° Ð² ÑÐµÐ±Ñ Ð´Ð²Ð° Ð¾ÑÐ½Ð¾Ð²Ð½ÑÑ Ð¼ÐµÑÐ¾Ð´Ð°. ÐÐµÑÐ²ÑÐ¹ Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ ÑÐ°Ð·Ð´ÐµÐ»ÐµÐ½Ð¸Ñ Ð·ÑÐ±ÑÐµÐ² Ð½Ð° ÑÑÐ°ÑÑÐºÐ¸ Ð½Ð° ÑÑÐ°Ð¿Ðµ ÑÐµÐ´Ð°ÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ ÑÐ²ÐµÑÐ´Ð¾ÑÐµÐ»ÑÐ½Ð¾Ð¹ Ð³ÐµÐ¾Ð¼ÐµÑÑÐ¸Ð¸ Ð¸ Ð²ÑÐ¾ÑÐ¾Ð¹ â Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð¸Ð¼ÐµÐ½Ð¾Ð²Ð°Ð½Ð½ÑÑ Ð²ÑÐ±Ð¾ÑÐ¾Ðº. ÐÐ° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² Ð±ÑÐ» Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½ ÑÐ°ÑÑÐµÑ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ° Ð½ÐµÑÐ°Ð²Ð½Ð¾Ð¼ÐµÑÐ½Ð¾ÑÑÐ¸ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð½Ð°Ð³ÑÑÐ·ÐºÐ¸ Ð¿Ð¾ ÑÐ¸ÑÐ¸Ð½Ðµ Ð·ÑÐ±ÑÐ°ÑÐ¾Ð³Ð¾ Ð²ÐµÐ½ÑÐ°. Ð Ð¿Ð¾ÑÐ»ÐµÐ´ÑÑÐ²Ð¸Ð¸ Ð²ÑÐ±ÑÐ°Ð½ Ð½Ð°Ð¸Ð±Ð¾Ð»ÐµÐµ ÑÐ¾ÑÐ½ÑÐ¹ Ð¼ÐµÑÐ¾Ð´ ÑÐ°ÑÑÐµÑÐ° â Ð¼ÐµÑÐ¾Ð´ ÐºÐ¾Ð½ÐµÑÐ½ÑÑ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð² Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð¸Ð¼ÐµÐ½Ð¾Ð²Ð°Ð½Ð½ÑÑ Ð²ÑÐ±Ð¾ÑÐ¾Ðº. ÐÐ°Ð½Ð½ÑÐ¹ Ð¼ÐµÑÐ¾Ð´ ÑÑÐ¸ÑÑÐ²Ð°ÐµÑ Ð·Ð½Ð°ÑÐ¸Ð¼Ð¾ÑÑÑ ÑÐµÐ»Ð¾ÑÑÐ½Ð¾ÑÑÐ¸ ÐºÐ¾Ð½ÑÑÑÑÐºÑÐ¸Ð¸, Ð¸ÑÐºÐ»ÑÑÐ°ÐµÑ Ð¿Ð¾ÑÐ²Ð»ÐµÐ½Ð¸Ðµ Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½ÑÑ Ð¾ÑÐ¸Ð±Ð¾Ðº Ð¾Ñ Ð´Ð¾Ð¿Ð¾Ð»Ð½Ð¸ÑÐµÐ»ÑÐ½ÑÑ ÐºÐ¾Ð½ÑÐ°ÐºÑÐ¾Ð² Ð¼ÐµÐ¶Ð´Ñ ÑÑÐ°ÑÑÐºÐ°Ð¼Ð¸ ÑÐ°Ð·ÑÐµÐ·Ð°Ð½Ð½Ð¾Ð³Ð¾ Ð·ÑÐ±Ð°. Ð¢Ð°Ðº Ð¶Ðµ Ð±ÑÐ»Ð°Â Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð° Ð¾ÑÐµÐ½ÐºÐ° Ð²Ð»Ð¸ÑÐ½Ð¸Ñ ÐºÐ¾Ð½ÑÑÑÑÐºÑÐ¸Ð²Ð½ÑÑ ÑÐ°ÐºÑÐ¾ÑÐ¾Ð² Ð½Ð° ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½Ñ Ð½ÐµÑÐ°Ð²Ð½Ð¾Ð¼ÐµÑÐ½Ð¾ÑÑÐ¸.
description: The subject of the graduate qualification work is Â«Study of non-uniformity of distribution of specific load over the width of gears in gearbox meshes of aircraft enginesÂ». This work is devoted to the development of a method for calculating the load distribution factor over the width of the gear rim based on the finite element method. Using the Kisssoft program, an analytical calculation of the coefficient of load distribution factor was conducted. The geometry for the static analysis of the gear pair of the power branch of the aircraft gearbox has been prepared and optimized. A mesh model of gears with a size of finite elements sufficient to describe the microgeometry of the teeth has been created. Based on the selected boundary conditions and loads, a series of static calculations by the finite element method was carried out. The processing of the obtained results included two main methods. The first is based on the division of teeth into sections at the stage of editing solid geometry, and the second is based on named selections. Based on the results obtained, using the formula, the calculation of the load distribution factor over the width was conducted. Subsequently, the most accurate calculation method was chosen â the finite element method based on named selections. This method considers the importance of the integrity of the structure, eliminates the appearance of possible errors from additional contacts between sections of the cut tooth. An assessment was also made of the influence of design factors on the unevenness coefficient.