To development of general theory of gearings synthesis on the basis of conical wheels formed by a tool of rack and disk type

Abstract

Generalized scheme and special cases of schemes gears, which are synthesized on the basis of conical shaped blanks of cogwheels, formed by a tool of rack and disk type, are presented. The advantages of such gears in comparison with traditional cylindrical and conical gears first of all, layout advantages and ability to eliminate backlash in the gearing both at manufacturing stage and at stage of operation of designed mechanisms are described. The main hypothesis used in the development of general theory of synthesis of gears under consideration involved is formulated. The notion of a general type initial link is given and essence of synthesis of gears in generalizing coordinates is disclosed, which allows to maximally reveal geometric-kinematic possibilities of gearing. The main provisions of general theory of synthesis of considered gears in a limiting area existence of gearing by means of a change in the shape and coordinates of points local areas, corresponding to one or another set of qualitative indicators are formulated.