DEVELOPMENT OF A MATHEMATICAL MODEL OF A PNEUMATIC POSITION DRIVE

Abstract

This article presents the development of a mathematical model of a positional pneumatic actuator using a rodless pneumatic cylinder and the results of checking the mathematical model for reliability. In addition, the paper presents an approach to creating visualizations of mathematical models in the Matlab Simulink software environment, which simplifies the understanding and clarity of these systems. Creating an energy-efficient positional pneumatic actuator is important due to the numerous industrial tasks that require the use of pneumatic systems. The main goal of this research is to develop a mathematical model that will facilitate faster verification and integration of the positional actuator into other systems. The methodology involves constructing a diagram illustrating the relationships between the drive components, where each element and the relationships between the connected elements are presented in the form of a system of equations. These equations represent a mathematical model of a pneumatic positional drive, which is implemented in the Matlab Simulink environment. This model has been tested for adequacy, the dependence of the displacement on the pressure and time of air supply corresponds to the physical laws of aeromechanics. The model also implements positioning with varying accuracy depending on the diameter of the pneumatic cylinder. The result is a functional mathematical model of a pneumatic positional drive, capable of conducting preliminary analyses for rodless pneumatic cylinders of various sizes. The model demonstrates that the piston can reach intermediate positions under the influence of the pressure level and duration of the compressed air supply. This mathematical model has the potential for future use to test positioning algorithms, optimize and accelerate the development of systems based on this drive. By preliminary analysis of the drive using a mathematical model, it is possible to determine the required amount or time of air supply, i.e., to train the drive, which will save on the cost of precision equipment and reduce wear on the physical drive, by reducing the number of tuning iterations that will be performed using the mathematical model.