Ismailova N. Theoretical bases of geometrical modeling of links in kinematic pairs

Ismailova N. P. Theoretical bases of geometrical modeling links in kinematic pairs. - Manuscript. Thesis defense of scientific degree of doctor in technical sciences, specialty 05.01.01 - Applied geometry, engineering graphics. - Kyiv National University of Construction and Architecture. - Kyiv, 2016. The work is devoted to solving of applied problems of the development and design of the dual contact (quasiscrew) surface engaging kinematic pairs, excluding interference in the gearing. The analysis of modeling methods of the mating surfaces to determine the interference in the gearing is performed. This analysis has not found common approaches to solving of the problems of the mating surface engagement forming. For the first time the geometric modeling of kinematic pairs with the dual contact (quasiscrew) engaging the surface is carried out, the results of which allow us to transfer the design work on the computer technology. Kinematic method, a number of models and methods of gear parts on the plane and in the space construction is proposed and implemented in which computational experiments were carried out: a) improved methods of circular, spiral transformation and a method of a generalized algorithm design of quasiscrew surface by curved transformation in gearing is worked out; kinematic method and algorithms of dual quasiscrew surface formation during processing of complex shapes on machine tools with numerical control is proposed; kinematic method and geometric modeling algorithms of dual gears of kinematic pairs, formed by the family of quasiscrew line parameters on the basis of parametric kinematic screw is developed. A number of methods and algorithms to determine the quasiscrew surface of gearing based on the theory of spatial kinematic screw parametric diagrams for modeling the mating surfaces is embodied and it allowed to extend the possibilities of forming surfaces in mechanical engineering in the gearing. The geometric modeling of kinematic pairs with conjugate contact surface engagementis is carried out for the first time, the results of which allow to transfer the design work on computer technology, which allows to carry out online research, changing the basic geometric properties. Introduction of the developed models is embodied in the modeling of geometric forms as an example of modeling the contact surface quasiscrew gearing, excluding interference. Keywords: pin surface of hooking kvazivinyl pin attended surface of hooking, analytical design, geometrical interpretation, kinematics self-reactance screw, attended surfaces, kinematics method, helicoids, toothed hooking, pin surface.