Comparative Analysis of Physics-Informed Semi-Empirical Neural Network Bending Models of a Real Cantilever Beam

Abstract

In the paper, we study the use of neural network modeling to solve problems of a sufficiently accurate description of a specific object considering its approximate physical model and measurement data. Nonparametric and parametric networks are applied. Different approaches to the construction of physics-informed neural networks (PINN) based on heterogeneous information are compared. The best results were obtained for new models based on the author's methodology for constructing multilayer functional models and analytical modification of numerical methods (AMNM). The results of calculations are presented, and their analysis is given.

Author Biographies

Alexander Nikolaevich Vasilyev, Peter the Great St. Petersburg Polytechnic University

Professor of the Department of Higher Mathematics, Institute of Physics and Mechanics, Dr. Sci. (Eng.), Professor

Tatiana Valerievna Lazovskaya, Peter the Great St. Petersburg Polytechnic University

Senior Lecturer of the Department of Higher Mathematics, Institute of Physics and Mechanics, Master of Applied Mathematics and Mechanics

Dmitry Albertovich Tarkhov, Peter the Great St. Petersburg Polytechnic University

Professor of the Department of Higher Mathematics, Institute of Physics and Mechanics, Dr. Sci. (Eng.), Associate Professor

Published
2024-12-15
How to Cite
VASILYEV, Alexander Nikolaevich; LAZOVSKAYA, Tatiana Valerievna; TARKHOV, Dmitry Albertovich. Comparative Analysis of Physics-Informed Semi-Empirical Neural Network Bending Models of a Real Cantilever Beam. Modern Information Technologies and IT-Education, [S.l.], v. 20, n. 4, dec. 2024. ISSN 2411-1473. Available at: <http://sitito.cs.msu.ru/index.php/SITITO/article/view/1170>. Date accessed: 20 aug. 2025.
Section
Scientific software in education and science

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