AUTOMATION OF MATHEMATICAL MODELING OF THE MECHANICAL PART OF ELECTRO-MECHATRONIC SYSTEMS
Journal Title: Електромеханічні і енергозберігаючі системи - Year 2018, Vol 4, Issue 44
Abstract
Purpose. The article is devoted to the study of the possibilities of automating the creation of a mathematical model of the mechanical subsystem of electro-mechatronic devices compatible with the full mathematical model of an integral system. Originality. An automated method is proposed for forming a system of differential equations of the mechanical part of an electromachatron system based on the Lagrange equations of the second kind using the methods of symbolic calculations in MATLAB. Methodology. In the study of the tasks used, the general methods of mathematics, physics, theoretical mechanics and computational mathematics were used. The compilation of equations of a mathematical model of a mechanical subsystem is based on the application of approved laws of mechanics. The solution of the obtained equations and the visualization of the obtained results were performed in the MATLAB/Simulink environment. Results. A technique has been developed for the automated formation of a system of differential equations of a complex multibody mechanical system of an electro-mechatronic system based on the Lagrange equations of the second kind using symbolic calculations in MATLAB. The implementation of the proposed method is shown on the example of the mechanism of a two-link flat arm. The comparative results of mathematical modeling of the obtained mathematical model and the model of the same device, built using the blocks of the Simscape Multibody library, are given. Practical value. Using the proposed approach will improve the quality of design of electro-mechatronic systems, allows you to implement the ideas of computational thinking during the training of electricians.
Authors and Affiliations
Valerii Kostiantynovych Tytiuk, Mila Baranovskaya, Oleksii Petrovych Chornyi, Evgeniia Burdilna
Keywords
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- EP ID EP660023
- DOI 10.30929/2072-2052.2018.4.44.14-20
- Views 153
- Downloads 0
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