title: Ð Ð°ÑÑÐµÑ ÑÐ¿ÑÑÐ³Ð¸Ñ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ð¹ Ð¿ÑÐ¸ Ð¿Ð¾Ð²ÐµÑÑ Ð½Ð¾ÑÑÐ½Ð¾Ð¼ ÑÐ¿ÑÐ¾ÑÐ½ÐµÐ½Ð¸Ð¸ ÑÑÐ°Ð»ÑÐ½ÑÑ Ð²Ð°Ð»Ð¾Ð²
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: Calculation of elastic stresses aftersurface hardening ofsteel shafts
Creators: name: Ð¡Ð°Ð»ÑÐ½Ð¸ÐºÐ¾Ð², ÐÐ°Ð½Ð¸Ð»
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: 2021
Subjects: ÐÐ°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ñ Ð¾ÑÑÐ°ÑÐ¾ÑÐ½ÑÐµ
ÐÐ¾Ð½ÐµÑÐ½ÑÑ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð² Ð¼ÐµÑÐ¾Ð´
ÐÐ°Ð»Ñ
Ð¾Ð±ÐºÐ°ÑÐºÐ°
Ð¸Ð½Ð´ÐµÐ½ÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
Ð¾ÑÐ¿ÐµÑÐ°ÑÐ¾Ðº
roller burnishing
indentation
imprint

description: Ð¢ÐµÐ¼Ð° Ð²ÑÐ¿ÑÑÐºÐ½Ð¾Ð¹ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ: Â«Ð Ð°ÑÑÐµÑ ÑÐ¿ÑÑÐ³Ð¸Ñ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ð¹ Ð¿ÑÐ¸ Ð¿Ð¾Ð²ÐµÑÑÐ½Ð¾ÑÑÐ½Ð¾Ð¼ ÑÐ¿ÑÐ¾ÑÐ½ÐµÐ½Ð¸Ð¸ ÑÑÐ°Ð»ÑÐ½ÑÑ Ð²Ð°Ð»Ð¾Ð²Â». 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° Ð¾ÑÐµÐ½ÐºÐ¸ ÑÐ¿ÑÑÐ³Ð¸Ñ Ð¾ÑÑÐ°ÑÐ¾ÑÐ½ÑÑ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ð¹ Ð² ÑÑÐ°Ð»ÑÐ½ÑÑ Ð²Ð°Ð»Ð°Ñ Ð¿Ð¾ÑÐ»Ðµ Ð¿ÑÐ¾ÑÐµÑÑÐ° Ð¾Ð±ÐºÐ°ÑÐºÐ¸ Ð¼ÐµÑÐ¾Ð´Ð¾Ð¼ Ð¸Ð½Ð´ÐµÐ½ÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸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ÑÐ¾Ð²ÐµÑÑÐ¸ Ð¾Ð±Ð·Ð¾Ñ Ð¸ Ð°Ð½Ð°Ð»Ð¸Ð· Ð»Ð¸ÑÐµÑÐ°ÑÑÑÐ½ÑÑ Ð¸ÑÑÐ¾ÑÐ½Ð¸ÐºÐ¾Ð² Ð¿Ð¾ ÑÐµÐ¼Ðµ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð¾ÑÑÐ°ÑÐ¾ÑÐ½ÑÑ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ð¹, Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹, Ð¿Ð¾Ð·Ð²Ð¾Ð»ÑÑÑÐ¸Ñ Ð¾ÑÐµÐ½Ð¸Ð²Ð°ÑÑ ÑÑÐ¾Ð²ÐµÐ½Ñ Ð¸ Ð·Ð½Ð°Ðº Ð½Ð°Ð²ÐµÐ´ÐµÐ½Ð½ÑÑ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ð¹. Ð Ð°ÑÑÐ¼Ð¾ÑÑÐµÑÑ Ð²Ð»Ð¸ÑÐ½Ð¸Ðµ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð° Ð¸ Ð¿ÑÐ¾ÑÐµÑÑÐ° Ð¸Ð½Ð´ÐµÐ½ÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð½Ð° ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ Ð¾ÑÐµÐ½ÐºÐ¸ ÑÑÐ¾Ð²Ð½Ñ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ð¹ Ð¼ÐµÑÐ¾Ð´Ð¾Ð¼ Ð¸Ð½Ð´ÐµÐ½ÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ. 2. ÐÐ½Ð´ÐµÐ½ÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð° Ð¾Ð±ÐºÐ°ÑÐ°Ð½Ð½ÑÑ Ð²Ð°Ð»Ð¾Ð² Ð¸ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ Ð¾ÑÐ¿ÐµÑÐ°ÑÐºÐ¾Ð² Ð½Ð° Ð¿ÑÐµÐ´Ð¼ÐµÑ Ð¸ÑÐºÐ°Ð¶ÐµÐ½Ð¸Ñ. 3. Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ (ÐÐÐ­) Ð¿ÑÐ¾ÑÐµÑÑÐ° Ð¸Ð½Ð´ÐµÐ½ÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¸ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ ÑÑÐ¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð²Ð»Ð¸ÑÐ½Ð¸Ñ Ð¾ÑÑÐ°ÑÐ¾ÑÐ½ÑÑ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ð¹ Ð½Ð° Ð³ÐµÐ¾Ð¼ÐµÑÑÐ¸ÑÐµÑÐºÐ¸Ðµ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÑ Ð¾ÑÐ¿ÐµÑÐ°ÑÐºÐ¾Ð². 4. Ð¡Ð¾Ð¿Ð¾ÑÑÐ°Ð²Ð»ÐµÐ½Ð¸Ðµ Ð´Ð°Ð½Ð½ÑÑ,Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ Ð¿Ð¾ÑÐ»Ðµ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½Ð¾Ð³Ð¾ Ð¸Ð½Ð´ÐµÐ½ÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¾Ð±ÐºÐ°ÑÐ°Ð½Ð½ÑÑ Ð²Ð°Ð»Ð¾Ð² Ñ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ°Ð¼Ð¸ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¿ÑÐ¾ÑÐµÑÑÐ° Ð¸Ð½Ð´ÐµÐ½ÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð° Ñ Ð½Ð°Ð²ÐµÐ´ÐµÐ½Ð½ÑÐ¼Ð¸ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸ÑÐ¼Ð¸. Ð¡Ð¾Ð¿Ð¾ÑÑÐ°Ð²Ð»ÐµÐ½Ð¸Ðµ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ Ð¾ÑÑÐ°ÑÐ¾ÑÐ½ÑÑ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ð¹ Ñ Ð´Ð°Ð½Ð½ÑÐ¼Ð¸ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¿ÑÐ¾ÑÐµÑÑÐ° Ð¾Ð±ÐºÐ°ÑÐºÐ¸ Ð²Ð°Ð»Ð¾Ð² Ð¼ÐµÑÐ¾Ð´Ð¾Ð¼ ÐºÐ¾Ð½ÐµÑÐ½ÑÑ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð². ÐÐ¾Ð»ÑÑÐµÐ½Ð½ÑÐµ Ð´Ð°Ð½Ð½ÑÐµ Ð¸Ð¼ÐµÑÑ ÑÑÐ¾Ð¶ÑÑ ÑÐµÐ½Ð´ÐµÐ½ÑÐ¸Ñ Ñ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ°Ð¼Ð¸ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¿ÑÐ¾ÑÐµÑÑÐ° Ð¾Ð±ÐºÐ°ÑÐºÐ¸ Ð¼ÐµÑÐ¾Ð´Ð¾Ð¼ ÐºÐ¾Ð½ÐµÑÐ½ÑÑ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð². ÐÐ¾Ð»Ð¸ÑÐµÑÑÐ²ÐµÐ½Ð½ÑÐµ ÑÐ°Ð·Ð»Ð¸ÑÐ¸Ñ Ð¼Ð¾Ð¶Ð½Ð¾ Ð¾Ð±ÑÑÑÐ½Ð¸ÑÑ ÑÐµÐ¼, ÑÑÐ¾ Ð² Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð¾ÑÑÐ°ÑÐ¾ÑÐ½ÑÐµ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ñ Ð½Ð°Ð²Ð¾Ð´Ð¸Ð»Ð¸ÑÑ Ð¿Ð¾ Ð½Ð°Ð¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ Ð¾Ð´Ð½Ð¾Ð¹ Ð¸Ð»Ð¸ Ð´Ð²ÑÑ Ð¾ÑÐµÐ¹, Ð² ÑÐ¾ Ð²ÑÐµÐ¼Ñ ÐºÐ°Ðº Ð² ÑÐµÐ°Ð»ÑÐ½Ð¾Ð¼ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ðµ Ð¿Ð¾Ð»Ñ Ð¾ÑÑÐ°ÑÐ¾ÑÐ½ÑÑ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ð¹ Ð¸Ð¼ÐµÑÑ ÐºÑÐ´Ð° Ð±Ð¾Ð»ÐµÐµ ÑÐ»Ð¾Ð¶Ð½ÑÑ ÑÑÐµÐ¼Ñ. Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð½Ð°Ñ Ð¼ÐµÑÐ¾Ð´Ð¸ÐºÐ° Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð·Ð½Ð°ÐºÐ° Ð¸ ÑÑÐ¾Ð²Ð½Ñ Ð¾ÑÑÐ°ÑÐ¾ÑÐ½ÑÑ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ð¹ Ð¼Ð¾Ð¶ÐµÑ Ð¾ÐºÐ°Ð·Ð°ÑÑÑÑ Ð²ÐµÑÑÐ¼Ð° Ð¿ÐµÑÑÐ¿ÐµÐºÑÐ¸Ð²Ð½Ð¾Ð¹ Ð¸ ÑÐºÐ¾Ð½Ð¾Ð¼Ð¸ÑÐµÑÐºÐ¸ ÑÐ¾Ð¾Ð±ÑÐ°Ð·Ð½Ð¾Ð¹ Ð¿Ð¾ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ Ñ Ð¾ÑÑÐ°Ð»ÑÐ½ÑÐ¼Ð¸ Ð¼ÐµÑÐ¾Ð´Ð°Ð¼Ð¸, Ð¾ÑÐ¾Ð±ÐµÐ½Ð½Ð¾ Ñ ÑÐµÐ¼Ð¸, ÐºÐ¾ÑÐ¾ÑÑÐµ ÑÑÐµÐ±ÑÑÑ ÑÐ°Ð·ÑÑÑÐµÐ½Ð¸Ñ Ð¸ÑÑÐ»ÐµÐ´ÑÐµÐ¼Ð¾Ð³Ð¾ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð°. ÐÐ»Ñ Ð±Ð¾Ð»ÐµÐµ Ð¿Ð¾Ð»Ð½Ð¾Ð³Ð¾ Ð¿Ð¾Ð½Ð¸Ð¼Ð°Ð½Ð¸Ñ Ð²Ð»Ð¸ÑÐ½Ð¸Ñ Ð¾ÑÑÐ°ÑÐ¾ÑÐ½ÑÑ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ð¹ Ð½Ð° Ð¿ÑÐ¾ÑÐµÑÑ Ð¸ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ Ð¸Ð½Ð´ÐµÐ½ÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ ÑÑÐµÐ±ÑÑÑÑÑ Ð´Ð¾Ð¿Ð¾Ð»Ð½Ð¸ÑÐµÐ»ÑÐ½ÑÐµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð´Ð»Ñ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ Ð²Ð¸Ð´Ð¾Ð² Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð¾Ð² Ð¸ Ð±Ð¾Ð»ÐµÐµ ÑÐ»Ð¾Ð¶Ð½ÑÑ, Ð¸ Ð±Ð»Ð¸Ð·ÐºÐ¸Ñ Ðº ÑÐµÐ°Ð»ÑÐ½Ð¾ÑÑÐ¸, ÑÑÐµÐ¼ Ð½Ð°Ð²ÐµÐ´ÐµÐ½Ð¸Ñ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ð¹ Ð² Ð¾Ð±ÑÐ°Ð·ÑÐµ.
description: he subjectof the graduate qualification work: "Calculation of elastic stresses aftersurface hardening ofsteel shafts". The givenwork is devoted to the development of a method for assessing the elastic residual stresses in steel shafts after the process of roller burnishingby indentation. The tasks that were solved in the course of the study were: 1. To conduct a review and analysis of literary sources on the topic of determining residual stresses, mathematical models to estimate the level and sign of induced stresses. To consider the influence of various material parameters and the indentation process on theresults of stress level estimation by indentation method. 2. Indenting the material of the shafts after roller burnishingand examining the resulting imprints for distortion. 3. Development of a mathematical model (FEM) of the indentation process and the studyof the influence of residual stresses on the geometric parameters of imprintsusing this model. 4. Comparison of data obtained after experimental indentation ofroller burnishedshaftswith the results of mathematical modeling of indentation process of material with induced stresses. Comparison of obtained residual stresses with data of mathematical modeling of shaft indentation process by finite element method. The data obtained have a similar tendency to the results of modeling the roller burnishingprocess by the finite element method. The quantitative differences can be explained by the fact that in the model the residual stresses were induced in the direction of one or two axes, while in the real material the residual stress fields have a much more complex pattern. The developed technique for determining the sign and level of residual stresses can be very promising and cost-effective compared to other methods, especially those that require destruction of the material under study. For a more complete understanding of the influence of residual stresses on the indentation process and results, additional studies are required for different types of materials and more complex and close to reality stresspatternsin the specimen.