Визначення можливості профілювання вихідних контурів циліндричних прямозубих передач кривими другого порядку

Abstract

The opportunity of application of second order curves, such as ellipse, parabola and hyperbola is considered at a profiling of a cutting rack’s teeth which is applied to manufacture of cylindrical spur transmissions. Limiting values of parameters of ellipse, hyperbola and parabola which make possible application of these curves as profiles of cutting rack’s teeth are defined. In particular, for factor of height of the profile h=1,25 at a pressure angle on the initial direct αn<17,43° profile will be circumscribed by an ellipse, at αn>17,43° – a hyperbola, and at αn=17,43° – a parabola. Synthesis algorithms of gearings are offered on the basis of cutting rack’s teeth, delineated by second order curves – ellipse and hyperbola (common algorithm), and also for parabola. Control calculation which has confirmed an opportunity to find alternative for traditional involute transmissions with a pressure angle 20° and for aviation gears with a pressure angle 25° and 30,5° is executed. With use of results of the given operation it is possible to make the further researches of geometry of such transmissions.