PHANTOM CHAINS TONTOR OF BIONIC OBJECT'S MOVEMENTS OF AUTOMATED SYSTEMS. Part 2

In our previous author’s works such properties of the phantom step as its length and curvature relative to the imaginary plane were considered. All these parameters were considered within clearly defined coordinates associated with the beginning and end of the step. Analytical and graphical models were obtained in this work, which are based on mathematical approaches to determining the spatiotemporal characteristics of the movement of objects taking into account the characteristics of phantom chains of bionic systems. Therefore, the application of the obtained models provides prospects for obtaining precise parameters of the movement of the final real technological object in the working space when performing complex kinematics of movements. At the same time, the dependences of the relationship between the volumes of technological abstract and their formed phantoms were investigated, which provide the opportunity to describe positive and negative technologies that are currently promising in modern production and the realities of the application of bionic automated equipment for various purposes. The results of our research can be used as a basis for obtaining new analytical models that determine the motion characteristics of dynamic abstract objects depending on the scope of application. This has the ultimate goal of being able to determine different types of motion of bionic objects, which is associated with automated systems in industry, medicine, implementation of technological processes, and scientific research. The prospects for further scientific research on this problem regarding the development of bionic automated systems, devices and objects are to continue the creation of analytical models of these objects with a view to their application in various areas and at different stages of the life cycle of technological objects, which improves production processes, as well as complex bionic systems for medical purposes.