title: Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° Ð¸ ÐºÐ°Ð»Ð¸Ð±ÑÐ¾Ð²ÐºÐ° Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÑÐ¸ÑÑÐµÐ¼Ñ Â«Ð±ÐµÑÐ¾Ð½Ð½Ð°Ñ Ð¿Ð»Ð¾ÑÐ¸Ð½Ð° â Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ð¸ÐµÂ» Ñ ÑÑÐµÑÐ¾Ð¼ Ð´Ð°Ð½Ð½ÑÑ Ð½Ð°ÑÑÑÐ½ÑÑ Ð½Ð°Ð±Ð»ÑÐ´ÐµÐ½Ð¸Ð¹
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: Development and calibration of the mathematical model of the system "concrete dam - foundation" considering the data of field observations
Creators: name: ÐÐ¾ÑÑÐ³Ð¸Ð½Ð°, ÐÐ½Ð°ÑÑ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: 2023
Subjects: ÐÐ°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
Ð¸Ð´ÐµÐ½ÑÐ¸ÑÐ¸ÐºÐ°ÑÐ¸Ñ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð²
ÐºÐ°Ð»Ð¸Ð±ÑÐ¾Ð²ÐºÐ° Ð¼Ð¾Ð´ÐµÐ»Ð¸
Ð°Ð¿Ð¿ÑÐ¾ÐºÑÐ¸Ð¼Ð°ÑÐ¸Ñ ÑÑÐ½ÐºÑÐ¸Ð¸
Ð·Ð°Ð´Ð°ÑÐ° Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸
parameter identification
model calibration
approximation function
optimization problem

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description: The purpose of the work is to determine the optimal set of parameters of the system "concrete dam - foundation", considering the data of field observations. The following tasks were considered in this paper: - Construction of finite-element model of the system "concrete dam - foundation". - Calculation of stress-strain of finite element model; - The solution of the problem of approximating the function of output values from the system parameters using different methods; - Solving the inverse problem of finding parameters as an optimization problem. Evaluation of the obtained results according to the calculated quality metrics. As results, programs were created to solve the optimization problem to determine the optimal set of parameters and the problem of approximation over a given set of points for the cases of functions of one, two parameters using the least squares method (LSM) and the method of radial basis functions (RBF). It was concluded that the best results are obtained in the calibration problem, where the output value function is approximated as a function of two parameters by LSM. The other cases have acceptable accuracy as well. However, only the case where the approximated function from one parameter is used can be used to predict parameter values due to the singularity of the solution.