The dissertation research is dedicated to solving the scientifically-applied problem of developing the modeling of the serrated curved surface of the castle and the entire castle connection system. The analysis of modeling methods for the curved surfaces of the castle joints did not reveal common approaches to solving this problem. Analysis of the advantages and disadvantages of the most common types of gears in practice, technical requirements and technological capabilities in their design and manufacture at the present stage of development shows that developments in the field of creating gears with non-traditional tooth profiles are relevant. The technical solution proposed in the work relates to cylindrical gear mechanisms of external and internal gearing, the shape of the teeth of the wheels of which is formed as an envelope of the initial contour of the gear rack, and the number of teeth is assigned depending on the purpose of the mechanism, the required gear ratio and the diametrical dimensions. Such mechanisms are used in various engineering industries in the form of gear wheels of gearboxes, winches, planetary and wave transmissions, as well as working bodies of pumps, hydraulic motors, compressors and internal combustion engines with straight and helical teeth. In the oil and gas industry, gears are widely used in gearboxes of rocking machines, power drives of the main units of drilling rigs, working bodies of downhole hydraulic motors and volumetric pumps, auxiliary mechanisms. In this regard, there is a need to develop effective methods for geometric design and modeling of conjugate curved surfaces of the castle joints. This direction contributes to the growth of computational and graphic capabilities of modern computer technology, design and analysis tools. Thus, new opportunities are opening up regarding the design of gears with locking joints based on a parametric kinematic screw. In the study of various design methods, it was found that existing methods have certain difficulties in a practical application in production and require highly skilled performers.
In the third chapter, a method of diagram-kinematics of instantaneous axes of conjugate curved surfaces is proposed, with respect to modeling a helical gear lock connection, with predetermined parameters. Theoretical studies have shown that when profiling conjugated curved non-linear surfaces by the kinematic method, the curved surface of the insert is considered as a contact curved surface, and the curved surfaces of the tool joint are considered as an infinite set of infinite small unit thickness of helicoidal, linearly and pairwise conjugated.
Based on the generated analytical description and algorithms, algorithmic software for geometric modeling of involute locking engagement with crossing axes was developed and implemented algorithmically. Graphic computer technology is implemented in the form of algorithms and programs (modules) for equipment from numerical software. Graphic computer technology is implemented in the form of algorithms and programs (modules) for equipment from numerical software.
The theoretical results obtained in the work are confirmed by test examples, verification calculations of solved practical problems, acts on the implementation of research results in production and the educational process.
Keywords: geometrical design, kinematics self-reactance screw, attended surfaces, toothed evolving hooking, Articulate connection, parametrization, point and linear contacts.
