Modeling of Dynamic of Variable Structure Systems on the Example of Movement of Inertial Driver on Elastic Supports

2022;
: pp. 39 - 47
Authors:
1
Lviv Polytechnic National University
2
Department of Robotics and Integrated Technologies of Mechanical Engineering, Lviv Polytechnic National University
3
Department of Robotics and Integrated Technologies of Mechanical Engineering, Lviv Polytechnic National University

Goal of the article is to develop a mathematical model of the behavior of the variable structure system that are affected by oscillations. The dynamic of variable structure systems is considered on the example of а motion of the inertial vibrating exciter on elastic supports. Significance. A large number of mathematical models of elastic system dynamic under the action of moving inertial load mostly covers only the general approach to solving these problems, or describes a specific type of equipment that is narrowly used in certain industries. The proposed mathematical model of the oscillating system offers much greater possibilities. It allows to modify the developed approach to modeling the dynamic of variable structure systems depending on their parameters. Method. Using the Lagrange's equations of the second kind, the dynamic of the inertial vibration exciter on elastic supports is modeled and the factors influencing its behavior are analyzed. Results. The presented mathematical model of the massive body behavior on elastic supports with a rigidly mounted shaft allows to substantiate the inertial-rigid and force parameters of the oscillatory system. Scientific novelty. A mathematical model of the body behavior on elastic supports with a rigidly mounted shaft, which transmits rotational motion to two imbalances through an elastic connection, has been developed. Practical significance. The  proposed method of calculations allows further to investigate ways to stabilize the variable structure system and reduce the inertial load on structural elements, which allows to justify the necessary parameters of technical systems.

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