MODELING OF MUTUALLY BENDING CONJUGATED SURFACES

Abstract

Geometric modeling of mating surfaces for practical use in the design of products having a spatially complex surface that is closely associated with the formation of mutually bending mating surfaces.

At the present stage of rapid development of complex designs of machines and apparatuses with the complex interaction of their parts, descriptive geometry methods are widely used in solving various complex technical problems. One of the common methods for the formation of geometric objects is geometric modeling, which allows the desired geometry of the product, determination of the contact characteristics of the conjugated kinematic pairs of systems of complex movements and during many other tasks during the creative creation of the structure, even at the design stage. Since the surface is conjugated, each of these surfaces can be represented as bypassed with respect to the second movable surface.

The paper proposes to optimize the process of creating universal graphic tools, where there is essentially a graphic image of the parameters of kinematic mating surfaces, changing one of which leads to a change in the other, opens up the possibility of obtaining the shapes of parts with predetermined parameters. You should include suggestions in expanding the capabilities of the screw diagram [1], taking into account the real picture of kinematics during design, which, if the distance between the axes of the screws changes, would give a real idea of the change in the geometry of the contact surface at each point of the instantaneous movement of the wheels.

The theory of envelope surfaces was further developed in the design of conjugate kinematic surfaces. Concerning the design of a cutting tool based on a kinematic screw, profiling consists in the fact that from graphical constructions at any stage of design, it is easy to go over to the calculation using the analytical method, if necessary, checking or accurately determining the parameters.

Graphic methods allow you to visualize the process of obtaining the profile of the part, to analyze the influence of each parameter on the profile and its design dimensions, where effortlessly you can identify the profiling errors of conjugate kinematic surfaces. For accurate design, it is necessary to carry out quite a number of geometric constructions, where it is accompanied by the introduction of completely objective errors that can be avoided, and also requires substantial creative preparation, which this article is devoted to.