SIMULATION OF AN OSCILLATORY SYSTEM OF A DIAPHRAGM DRIVE 

Chkalova Marina Viktorovna, candidate of technical sciences, associate professor, sub-department of informatics and applied mathematics, Orenburg State Agrarian University (18 Chelyuskintsev street, Orenburg, Russia), E-mail: chkalovamv@mail.ru
Pavlidis Victoria Dmitrievna, candidate of physical and mathematical sciences, doctor of pedagogical sciences, professor, head of sub-department of informatics and applied mathematics, Orenburg State Agrarian University (18 Chelyuskintsev street, Orenburg, Russia), E-mail: pavlidis@mail.ru 

62.85 

10.21685/2227-8486-2020-4-9 

Subject and goals. The actuality of the research is determined by the need for automation of agricultural production processes. Its development is characterized by intensive introduction of robotic systems that include changes in technical and operational parameters of production lines. The main purpose of the article is the construction of a universal mathematical model of the pneumatic actuator of the diaphragm type, the parameterization of which will allow taking into account any structural and technological changes.
Methods. The authors constructed a theoretical model of a pneumatic membranetype drive under given initial and boundary conditions using the methods of the theory of partial differential equations. The obtained parametric solution of the equations completely defines and describes the forced oscillations of circular membranes with the specified parameters ( 0 R , m ρ , m r , Τ), fixed along the contour in the housing of the actuator of the dispenser of bulk ultrafine materials as physical model.
Results and conclusions. The authors developed a method of calculating the pneumatic dispenser oscillatory system comprising a circular membrane with clamped edges which is based on the equivalent replacement of the system with distributed parameters (membrane) by a system with lumped parameters. This approach allows the replacement of the model of the vibration by the model of translational motion. As a result of the research, a theoretical model of diaphragm actuator is constructed and its main parameters are identified. As a result of the research, there has been developed a method of transition from the universal theoretical model of the membrane drive to the isomorphic model of the linear oscillator constructed with the same initial conditions and assumptions. 

vibrating system, diaphragm actuator, isomorphic models, distributed parameters, concentrated parameters, engineering calculations, pneumatic dispenser