The MATLAB application package accelerates the pace of learning, teaching, and research in engineering disciplines and science, helping to prepare students for a successful career in the industry because it is widely used for research and development. It has received a wide application in such industries as aerospace, automotive, communication, and industrial automation. The concept of model-oriented design is based on the modeling of high-level systems. This allows us to develop a model based on technical tasks and specifications, to design systems using simulation modeling, to automatically generate code, and also test and verify models at stages from project to implementation. Thus, teachers get the opportunity to educate students about the understanding of the system components physics, their interaction and the behavior of systems in general, and all this in a unified environment. In the paper, the main advantages, interfaces of MATLAB application programs are presented. The results of scientific research of authors using MATLAB - investigation of natural frequencies and damping parameters of gauge tubular springs in the viscous medium as well as torsional oscillations of the pump unit shafts are presented. The effect of the geometric characteristics of gauge tubular springs on the natural frequencies of oscillations and attenuation parameters is investigated. Using the MATLAB package, a technique has been developed for calculating the stresses associated with the torsion of the pumping unit shafts.

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