To the issue of decomposition of mathematical models of disturbed motion of complex discrete-continuous dynamic systems
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Дата
2023
Назва журналу
Номер ISSN
Назва тому
Видавець
Харківський національний автомобільно-дорожній університет
Анотація
Problem. Usually, complex dynamic systems are characterized by a high order of equations
in their mathematical models and intricate interconnections among subsystems that constitute the
complex dynamic system. Naturally, the analysis and synthesis of complex dynamic systems require the
use of powerful computational systems with vast memory and high processing speed. Goal. The aim is
quantitative assessment of the influence of the continuum part of a dynamic system on the behavior of
its discrete part and the possibility to perform decomposition of the mathematical model of perturbed
motion of a discrete-continuum system based on this assessment. Methodology. The measures are aimed
at addressing issues that are based on the discrete-continuum capabilities and their decomposition.
Results. For three types of complex dynamic systems described by infinite-dimensional systems of
ordinary differential equations, quantitative assessments of the influence of the continuum part on the
discrete part of the system have been proposed. These assessments determine the decomposition of the
mathematical models of perturbed motion for such systems. Originality. Simplified mathematical models
for three types of discrete-continuous dynamic systems were obtained. Practical value. The obtained
results can be recommended for the study of the specialized course on the motion characteristics of
cargo trucks during the transportation of liquids in tanks. Through optimization using the MATLAB
software package, it is possible to simulate various parameters of both the cargo truck and the cargo
being transported.
Опис
Ключові слова
discrete-continual system, complex technical object, decomposition of the mathematical model, декомпозиція математичної моделі, складний технічний об'єкт, дискретно-континуальна система
Бібліографічний опис
To the issue of decomposition of mathematical models of disturbed motion of complex discrete-continuous dynamic systems / Aleksandrov Ye., Aleksandrova T., Morgun Ya., Kholodov M. , Yarita O. , Shapovalenko V. // Автомобiльний транспорт : зб. наук. пр. / М-во освiти i науки України, Харків. нац. автомоб.-дор. ун-т ; редкол.: А. В. Гнатов (гол. ред.) та iн. – Харкiв, 2023. – Вип. 52. – С. 41–53.