title: ÐÐ¾ÑÑÑÐ¾ÐµÐ½Ð¸Ðµ ROM Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð½ÐµÐ¹ÑÐ¾Ð½Ð½Ð¾Ð¹ ÑÐµÑÐ¸ Ð´Ð»Ñ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² ÐÐÐ¡ ÑÐ¿ÑÑÐ³Ð¾Ð¹ Ð¿Ð»Ð°ÑÑÐ¸Ð½Ñ
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: Construction of a ROM model based on a neural network for determining the parameters of stress-strain state of an elastic plate
Creators: name: Ð¨Ð»ÑÑÐ¾Ð², ÐÐ°ÑÐº
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: 2024
Subjects: Ð¼Ð°ÐºÑÐ¸Ð¼Ð°Ð»ÑÐ½ÑÐµ ÑÐºÐ²Ð¸Ð²Ð°Ð»ÐµÐ½ÑÐ½ÑÐµ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ñ Ð¿Ð¾ ÑÑÐµÑÐºÐ°
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Ð»Ð¸Ð½ÐµÐ¹Ð½Ð°Ñ ÑÐµÐ³ÑÐµÑÑÐ¸Ñ
Ð´ÐµÑÐµÐ²Ð¾ ÑÐµÑÐµÐ½Ð¸Ð¹
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ÐºÑÐ¸ÑÐµÑÐ¸Ð¹ Ð¸Ð½ÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð²Ð½Ð¾ÑÑÐ¸
maximum equivalent stress according to tresca
model training
gradient descent
linear regression
decision trees
feedforward neural networks
data distribution
predicate
informativeness criterion

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð¸Ñ ÑÑÐ´Ð° Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ Ð¼Ð°ÑÐ¸Ð½Ð½Ð¾Ð³Ð¾ Ð¾Ð±ÑÑÐµÐ½Ð¸Ñ Ð´Ð»Ñ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð¼Ð°ÐºÑÐ¸Ð¼Ð°Ð»ÑÐ½ÑÑ ÑÐºÐ²Ð¸Ð²Ð°Ð»ÐµÐ½ÑÐ½ÑÑ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ð¹, Ð¸ Ð¿ÐµÑÐµÐ¼ÐµÑÐµÐ½Ð¸Ð¹ Ð² Ð·Ð°Ð´Ð°Ð½Ð½Ð¾Ð¹ ÐºÐ¾Ð¾ÑÐ´Ð¸Ð½Ð°ÑÐµ. Ð¡ÑÐ°Ð²Ð½Ð¸Ð²Ð°Ñ Ð¿ÑÐµÐ´ÑÐºÐ°Ð·Ð°Ð½Ð¸Ñ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ Ñ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ°Ð¼Ð¸, Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÐ¼Ð¸ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ansys, Ð´Ð»Ñ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð»ÑÑÑÐµÐ¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸. Ð ÑÐ¾Ð´Ðµ ÑÐ°Ð±Ð¾ÑÑ ÑÐµÑÐ°Ð»Ð¸ÑÑ ÑÐ»ÐµÐ´ÑÑÑÐ¸Ðµ Ð·Ð°Ð´Ð°ÑÐ¸: ÐÐ°ÑÐ¾Ð¶Ð´ÐµÐ½Ð¸Ðµ Ð¼Ð°ÐºÑÐ¸Ð¼Ð°Ð»ÑÐ½ÑÑ ÑÐºÐ²Ð¸Ð²Ð°Ð»ÐµÐ½ÑÐ½ÑÑ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ð¹ Ð¿Ð¾ Ð¢ÑÐµÑÐºÐ° Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð»Ð¸Ð½ÐµÐ¹Ð½Ð¾Ð¹ ÑÐµÐ³ÑÐµÑÑÐ¸Ð¸, Ð´ÐµÑÐµÐ²Ð° ÑÐµÑÐµÐ½Ð¸Ð¹, Ð½ÐµÐ¹ÑÐ¾Ð½Ð½Ð¾Ð¹ ÑÐµÑÐ¸ ÐÐ°ÑÐ¾Ð¶Ð´ÐµÐ½Ð¸Ðµ Ð¿ÐµÑÐµÐ¼ÐµÑÐµÐ½Ð¸Ð¹ Ð² Ð·Ð°Ð´Ð°Ð½Ð½Ð¾Ð¹ ÐºÐ¾Ð¾ÑÐ´Ð¸Ð½Ð°ÑÐµ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð»Ð¸Ð½ÐµÐ¹Ð½Ð¾Ð¹ ÑÐµÐ³ÑÐµÑÑÐ¸Ð¸, Ð´ÐµÑÐµÐ²Ð° ÑÐµÑÐµÐ½Ð¸Ð¹, Ð½ÐµÐ¹ÑÐ¾Ð½Ð½Ð¾Ð¹ ÑÐµÑÐ¸ ÐÐ¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ñ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ ÐÐ¾ÑÑÑÐ¾ÐµÐ½Ð¸Ðµ Ð³ÑÐ°ÑÐ¸ÐºÐ¾Ð² Ð¸ Ð¸Ð»Ð»ÑÑÑÑÐ°ÑÐ¸Ñ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð². Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð° Ð½ÐµÐ¹ÑÐ¾Ð½Ð½Ð°Ñ ÑÐµÑÑ, ÑÐµÑÐ°ÑÑÐ°Ñ Ð²ÑÑÐµÐ¿ÐµÑÐµÑÐ¸ÑÐ»ÐµÐ½Ð½ÑÐµ Ð·Ð°Ð´Ð°ÑÐ¸ Ñ Ð²ÑÑÐ¾ÐºÐ¾Ð¹ ÑÐ¾ÑÐ½Ð¾ÑÑÑÑ ÐÐ¾Ð»ÑÑÐµÐ½Ð½ÑÐµ Ð²ÑÐ²Ð¾Ð´Ñ Ð¾Ð±Ð»Ð°Ð´Ð°ÑÑ Ð±Ð¾Ð»ÑÑÐ¾Ð¹ Ð¿ÑÐ°ÐºÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð·Ð½Ð°ÑÐ¸Ð¼Ð¾ÑÑÑÑ Ð¸ Ð¼Ð¾Ð³ÑÑ Ð±ÑÑÑ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ñ Ð¿ÑÐ¸ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ð¸ Ð±Ð¾Ð»ÐµÐµ ÑÐ»Ð¾Ð¶Ð½ÑÑ Ð½ÐµÐ¹ÑÐ¾Ð½Ð½ÑÑ ÑÐµÑÐµÐ¹.
description: The subject of the graduate qualification work is "Construction of a ROM model based on a neural network for determining the parameters of stress-strain state of an elastic plate". The given work is devotedÂ  to the construction of a series of machine learning models for determining the maximum equivalent stresses and displacements at a given coordinate. Comparing the model predictions with the results obtained using Ansys to determine the best model. During the work, the following tasks were solved: Finding the maximum equivalent stresses according to Tresca using linear regression, decision trees, neural networks Finding displacements at a given coordinate using linear regression, decision trees, neural networks Model optimization Construction of graphs and illustration of results. As a result of the research, a neural network was obtained that solves the above tasks with high accuracy The conclusions obtained have great practical significance and can be used in modeling more complex neural networks.