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
Related Articles
- EP ID EP660023
- DOI 10.30929/2072-2052.2018.4.44.14-20
- Views 151
- Downloads 0
MEASURING INDICATORS OF ENERGY PROCESSES IN THE ASYNCHRONOUS GENERATOR ON THE BASIS OF THE VIRTUAL MODEL IN THE LABVIEW SOFTWARE
Purpose. To investigate the process of power generation in the autonomous sources of energy based on an asynchronous generator with capacitive excitation and creating easy to use and clearly virtual device performance po...
REGULATION OF INDUCTION HEATING PROCESS USING NON-SINUSOIDAL CURRENT
Purpose. The purpose of the paper is to investigate electromagnetic processes that occur in an induction installation when operate under non-sinusoidal current, describe advantages of using such a current when heating ma...
MODELING OF MAGNETIC FIELD DISTRIBUTION IN MAGNETOELASTIC SENSOR CORE
Purpose. Application of mechanical pressure force to magnetoelastic sensor results in mechanical stress within the ferromagnetic core body of sensor and produces the variation of material permeability due to mechanical s...
COMPREHENSIVE MODEL OF AUTOMATED CONTROL SYSTEM OF HEATING IN MULTI-STOREY BUILDING
Purpose. To create a comprehensive model that describes the functioning of the control system in the district heating substation. Methodology. We have applied the passive multifactorial experiment with regression analysi...
LABORATORY BENCH FOR RESEARCH OF OPTIMAL AND QUASI-OPTIMAL AUTOMATIC CONTROL SYSTEM
Purpose. This paper presents a laboratory bench for research of optimal and quasi-optimal automatic control system in respect of its operation speed. Laboratory bench consists of thermal unit and software and hardware su...