title: ÐÐ¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ð¿Ð¾Ð²ÐµÐ´ÐµÐ½Ð¸Ñ Ð²ÑÐ·ÐºÐ¾Ð³Ð¾ ÑÐ¾Ð»ÑÑÐ¾ÑÑÐµÐ½Ð½Ð¾Ð³Ð¾ ÑÐ¸Ð»Ð¸Ð½Ð´ÑÐ° Ð¿ÑÐ¸ Ð¾ÑÐµÐ²Ð¾Ð¼ ÑÐ°ÑÑÑÐ¶ÐµÐ½Ð¸Ð¸ Ð¸ Ð½ÐµÑÐ°Ð²Ð½Ð¾Ð¼ÐµÑÐ½Ð¾Ð¼ Ð½Ð°Ð³ÑÐµÐ²Ðµ
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
Creators: name: ÐÑÑÐµÐ²Ð°, ÐÐ°ÑÐ¸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: 2020
Subjects: Ð¡ÑÐµÐºÐ¾Ð»ÑÐ½Ð¾Ðµ Ð¿ÑÐ¾Ð¸Ð·Ð²Ð¾Ð´ÑÑÐ²Ð¾
ÑÐ°ÑÑÑÐ¶ÐµÐ½Ð¸Ðµ ÑÑÐµÐºÐ»ÑÐ½Ð½Ð¾Ð¹ ÑÑÑÐ±ÐºÐ¸
Ð´Ð¸ÑÐºÑÐµÑÐ½Ð°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ Ð²ÑÐ·ÐºÐ¾Ð³Ð¾ ÑÐ¸Ð»Ð¸Ð½Ð´ÑÐ°
Ð¿Ð¾Ð²ÐµÑÑ Ð½Ð¾ÑÑÐ½Ð¾Ðµ Ð½Ð°ÑÑÐ¶ÐµÐ½Ð¸Ðµ
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description: Ð¢ÐµÐ¼Ð° Ð²ÑÐ¿ÑÑÐºÐ½Ð¾Ð¹ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ: Â«ÐÐ¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ð¿Ð¾Ð²ÐµÐ´ÐµÐ½Ð¸Ñ Ð²ÑÐ·ÐºÐ¾Ð³Ð¾ ÑÐ¾Ð»ÑÑÐ¾ÑÑÐµÐ½Ð½Ð¾Ð³Ð¾ ÑÐ¸Ð»Ð¸Ð½Ð´ÑÐ° Ð¿ÑÐ¸ Ð¾ÑÐµÐ²Ð¾Ð¼ ÑÐ°ÑÑÑÐ¶ÐµÐ½Ð¸Ð¸ Ð¸ Ð½ÐµÑÐ°Ð²Ð½Ð¾Ð¼ÐµÑÐ½Ð¾Ð¼ Ð½Ð°Ð³ÑÐµÐ²ÐµÂ». ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð²ÑÐ·ÐºÐ¾Ð³Ð¾ ÑÐ¾Ð»ÑÑÐ¾ÑÑÐµÐ½Ð½Ð¾Ð³Ð¾ ÑÐ¸Ð»Ð¸Ð½Ð´ÑÐ°, Ð¿Ð¾Ð²ÐµÐ´ÐµÐ½Ð¸Ðµ ÐºÐ¾ÑÐ¾ÑÐ¾Ð¹ Ð¿ÑÐ¸ Ð¾ÑÐµÐ²Ð¾Ð¼ ÑÐ°ÑÑÑÐ¶ÐµÐ½Ð¸Ð¸ Ð¸ Ð½ÐµÑÐ°Ð²Ð½Ð¾Ð¼ÐµÑÐ½Ð¾Ð¼ Ð½Ð°Ð³ÑÐµÐ²Ðµ Ð²Ð¸Ð·ÑÐ°Ð»ÑÐ½Ð¾ ÑÐ¾Ð¾ÑÐ²ÐµÑÑÑÐ²Ð¾Ð²Ð°Ð»Ð¾ Ð±Ñ Ð¿Ð¾Ð²ÐµÐ´ÐµÐ½Ð¸Ñ ÑÐµÐ°Ð»ÑÐ½Ð¾Ð¹ ÑÑÐµÐºÐ»ÑÐ½Ð½Ð¾Ð¹ ÑÑÑÐ±-ÐºÐ¸ Ð² ÑÐ¾Ð¾ÑÐ²ÐµÑÑÑÐ²ÑÑÑÐ¸Ñ ÑÑÐ»Ð¾Ð²Ð¸Ñ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°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð²ÑÐ·ÐºÐ¾Ð³Ð¾ ÑÐ¾Ð»ÑÑÐ¾ÑÑÐµÐ½Ð½Ð¾Ð³Ð¾ ÑÐ¸Ð»Ð¸Ð½Ð´ÑÐ°, Ð¿Ð¾Ð²ÐµÐ´ÐµÐ½Ð¸Ðµ ÐºÐ¾ÑÐ¾ÑÐ¾Ð¹ Ð¿ÑÐ¸ Ð½ÐµÑÐ°Ð²Ð½Ð¾Ð¼ÐµÑÐ½Ð¾Ð¼ Ð½Ð°Ð³ÑÐµÐ²Ðµ Ð¸ Ð¾ÑÐµÐ²Ð¾Ð¼ ÑÐ°ÑÑÑÐ¶ÐµÐ½Ð¸Ð¸ ÑÐ¾Ð¾ÑÐ²ÐµÑÑÑÐ²ÑÐµÑ Ð² Ð²Ð¸Ð·ÑÐ°Ð»ÑÐ½Ð¾Ð¼ Ð¿ÑÐ¸Ð±Ð»Ð¸Ð¶ÐµÐ½Ð¸Ð¸ ÑÐµÐ°Ð»ÑÐ½Ð¾Ð¼Ñ Ð¿ÑÐ¾ÑÐµÑÑÑ. 2. ÐÐ·ÑÑÐµÐ½Ð¸Ðµ Ð¾Ð±Ð»Ð°ÑÑÐ¸ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ ÑÐ°ÐºÐ¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸. 3. ÐÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð¸Ðµ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° Ð¿Ð¾Ð²ÐµÐ´ÐµÐ½Ð¸Ñ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð¿ÑÐ¸ Ð¼ÐµÐ½ÑÑÑÐ¸ÑÑÑ Ð²ÑÐ¾Ð´Ð½ÑÑ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ°Ñ. 4. ÐÐ¿Ð¸ÑÐ°Ð½Ð¸Ðµ Ð¼ÐµÑÐ¾Ð´Ð° Ð±ÑÐ´ÑÑÐµÐ¹ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸ ÑÐ°ÐºÐ¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð¸ ÑÐ°ÑÑÐ¸ÑÐµÐ½Ð¸Ñ Ð³ÑÐ°Ð½Ð¸Ñ ÐµÑ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ. Ð Ð°Ð±Ð¾ÑÐ° Ð²ÑÐ¿Ð¾Ð»Ð½ÑÐ»Ð°ÑÑ Ð½Ðµ Ð² ÑÐ°Ð¼ÐºÐ°Ñ Ð¿ÑÐµÐ´Ð´Ð¸Ð¿Ð»Ð¾Ð¼Ð½Ð¾Ð¹ Ð¿ÑÐ°ÐºÑÐ¸ÐºÐ¸, Ð¾Ð´Ð½Ð°ÐºÐ¾ ÑÑÑÐµÑÑÐ²ÑÑÑÐ¸Ðµ ÑÑÐµÐ±ÑÑÑÐ¸Ðµ ÑÐµÑÐµÐ½Ð¸Ñ Ð·Ð°Ð´Ð°ÑÐ¸, ÑÐ²ÑÐ·Ð°Ð½Ð½ÑÐµ Ñ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸ÐµÐ¼ ÑÑÐµÐºÐ»ÑÐ½Ð½Ð¾Ð³Ð¾ ÑÐ¸Ð»Ð¸Ð½Ð´ÑÐ°, Ð±ÑÐ»Ð¸ Ð¸Ð·ÑÑÐµÐ½Ñ Ð¿Ð¾ ÑÐ¼ÐµÐ¶Ð½Ð¾Ð¹ Ñ Ð½ÐµÐ¹ Ð¾Ð±Ð»Ð°ÑÑÑÑ. Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° Ð¸ Ð°Ð½Ð°Ð»Ð¸Ð· Ð¿ÑÐ¾Ð²Ð¾Ð´Ð¸Ð»ÑÑ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ð³Ð¾ Ð¾Ð±ÐµÑÐ¿ÐµÑÐµÐ½Ð¸Ñ Wolfram Mathematica 12.0, Ð¾ÑÐ½Ð°ÑÐµÐ½Ð½Ð¾Ð³Ð¾ Ð²ÑÐµÐ¼Ð¸ Ð½ÐµÐ¾Ð±ÑÐ¾Ð´Ð¸Ð¼ÑÐ¼Ð¸ Ð¸Ð½ÑÑÑÑÐ¼ÐµÐ½ÑÐ°Ð¼Ð¸ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ. Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð±ÑÐ»Ð° ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð° Ð´Ð¸ÑÐºÑÐµÑÐ½Ð°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ Ð¿Ð¾Ð²ÐµÐ´ÐµÐ½Ð¸Ñ Ð²ÑÐ·ÐºÐ¾Ð³Ð¾ ÑÐ¾Ð»ÑÑÐ¾ÑÑÐµÐ½Ð½Ð¾Ð³Ð¾ ÑÐ¸Ð»Ð¸Ð½Ð´ÑÐ°. ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¾ Ð²Ð»Ð¸ÑÐ½Ð¸Ðµ Ð²ÑÐ¾Ð´Ð½ÑÑ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð½Ð° Ð¿Ð¾Ð²ÐµÐ´ÐµÐ½Ð¸Ðµ ÐµÑ ÑÐµÑÐµÐ½Ð¸Ð¹, Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð¾ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ Ñ ÑÐµÐ°Ð»ÑÐ½ÑÐ¼ Ð¿ÑÐ¾ÑÐµÑÑÐ¾Ð¼. Ð¢Ð°ÐºÐ¶Ðµ Ð±ÑÐ» Ð¿ÑÐµÐ´Ð»Ð¾Ð¶ÐµÐ½ Ð¼ÐµÑÐ¾Ð´ Ð¿Ð¾ Ð±ÑÐ´ÑÑÐµÐ¹ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸ Ð¼Ð¾Ð´ÐµÐ»Ð¸.
description: The subject of the graduate qualification work is âModeling the behavior of a viscous thick-walled cylinder under axial tension and uneven heatingâ. This work is devoted to the development of a model of a viscous thick-walled cylinder whose behavior under axial tension and uneven heating would vis-ually correspond to the behavior of a real glass tube under appropriate conditions. Tasks that were solved during the study: 1. Development of model of viscous thick-walled cylinder, the behavior of which with uneven heating and axial tension corresponds in visual approximation to the real process. 2. Studying of the scope of such a model. 3. Analysis of the model behavior in changing input parameters. 4. Description of the possible model optimization method The work was not carried out within the framework of undergraduate practice, however, the existing problems requiring solutions related to the modeling of a glass cylinder were studied in the adjacent field. Development and analysis were carried out with the use of Wolfram Mathematica 12.0 software, equipped with all the necessary tools for mathematical modeling. The study resulted into developed discrete model of the viscous thick-walled cylinder behavior. The influence of the input parameters of the model on the behav-ior of its decisions was investigated, and the obtained solution was compared with the real process. A possible optimization method was also proposed for future study.