Modeling of mechanical systems by the reodynamic method

Goots, Victor and Гуць, Віктор Степанович and Гуць, Виктор Степанович and Sheyina, Alina and Шеїна, Аліна Вікторівна and Шеина, Алина Викторовна and Gubenia, Oleksii and Губеня, Олексій Олександрович and Губеня, Алексей Александровч and Omelchenko, Kseniia and Омельченко, Ксенія and Омельченко, Ксения (2017) Modeling of mechanical systems by the reodynamic method. PROCEEDINGS OF UNIVERSITY OF RUSE, 1 (56 (10). pp. 135-139. ISSN 1311-3321

Preview

Text Sheyina_article_2017.pdf Download (319kB) | Preview

Abstract

There are many natural phenomena, in particular, technological processes that require fundamental researches. The basis of such researches usually are mathematical models based on the same type equations, most of which are differential equations of the second order or their systems. This is due to the possibilities of modern methods of analytical calculations and their visualization capabilities. The essence of many equations is the presence of a driving force and resistance forces of a different nature. According to these principles, the majority of mechanical, heat and mass, biological and other processes, and also economic analysis, are modeled. In order to quantify the interaction of mechanical systems with the working elements of technological equipment with the help of differential equations of motion of the second order, a number of mechanical processes were described, in particular, the movement of the knife in the product at cutting, the interaction of the product with the contact surface at the action of the forces of adhesion and friction, the interaction of complex visco-elastic systems with elements of equipment, in particular, transport and packaging systems, and others. The obtained mathematical dependencies allow to determine the displacement, speed and acceleration of the product at the contact with the elements of equipment, and energy indices – the work and the power for different laws of mutual movement

Actions (login required)

View Item