Computational Approach to Geometric Modeling of Plow Bodies

Abstract

In this article, a detailed analysis of modern research and publications on the selected subject was carried out related to the computer-variant geometric modeling of the working surfaces of the plow blades. Based on this, a new method of proper design was proposed. The performed scientific investigations aimed to create a flexible, productive, and universal approach for the automated shaping of tillage tools. The accentuated effectiveness of geometric modeling was achieved using a developed special mathematical apparatus adapted for use in the environment of current computer information systems of an engineering profile. The implementation was based on such parametric lines as heterogeneous rational B-splines, which are acceptable in automated design systems. The specified geometric models were characterized by the coverage of a sufficiently large range of plow heads. The indicated means of forming could conveniently adapt to the changing conditions of designing tillage tools suggested by theoretical calculations and practical experiments. The given facts contributed to the multifaceted clarification of the specified information. They also ensured the appropriate integration and the possibility of determining the most rational options among the studied varieties of plow dumps. Simultaneously, the most common group of dumps with cylindrical and other plow working surfaces was considered. The significant role of geometric models for qualitative coordination and the effective combination of many other models (e.g., strength, manufacturing technology, and operation conditions) was emphasized. This was aimed at comprehensive optimization throughout their life cycle, in this case of plows. The proper solution to the presented problems contributed to a successful solution to the actual scientific and applied problem of improving the quality of machinery.