TO THE QUESTION OF GENERALIZATION OF STRUCTURAL-PARAMETRIC SHAPING OF TECHNICAL OBJECTS

 The current stage of evolution of the applied geometry scientific school of the Igor Sikorsky Kyiv Polytechnic Institute is characterized, in particular, by the creation of an integrated complex methodology for shaping various technical objects to improve the efficiency of their design, manufacture and operation.  At the same time, the tasks of developing the appropriate theoretical foundations, generalization of the relevant used means, improvement of methodological, informational and software support of computer systems, and practical implementation of the obtained results are very important.The structural-parametric approach to geometric modeling proposed by the applied geometry scientific school of the Igor Sikorsky Kyiv Polytechnic Institute is the basis for integrated complex automated shaping of various industrial products. Therefore, further improvement of this methodology due to the progress of the existing mathematical apparatus, the development of new and upgrading of existing methods, techniques and algorithms is an urgent scientific and applied problem.The publication presents a new method for generalization of structural-parametric geometric models by applying to their elements cyclic, ie repetitive, operations of shaping. The presented invariant method is illustrated by the example of computer-aided design of such components of agricultural machines as disk working bodies of tillage implements. At the same time, the geometric classification of these technical objects, the techniques for their computer solid-state shaping, a method for reducing the area of design solutions and a generalized contour, described in the previous works of the authors, were used.Thus, this work is the expansion of scientific achievements obtained at the Department of Descriptive Geometry, Engineering and Computer Graphics of Igor Sikorsky Kyiv Polytechnic Institute, a certain theoretical generalization of them. The article outlines the prospects for further research in the analyzed scientific direction for the development of an appropriate integrated complex methodology for shaping of variety technical objects.