Reconstitution of the geometric elements of a conic gear

Abstract

Conical gears are used if the axes of the shafts between which the rotation movement is transmitted are concurrent. The technology of execution of these gears is more demanding, they are more sensitive to the deviations of execution and / or assembly and introduce large axial forces, which complicates, to some extent, the construction of the supports of the wheel support shafts. The straight-toothed conical gears, with relatively simple wheels for technological purposes, are used only at low peripheral speeds (𝑣 < 3 𝑚/𝑠), when step deviations and those of the tooth profiles do not yet produce high dynamic demands and noise. These gears, however, are sensitive to less precise mountings and to deformations, under load, of the support shafts. The calculation of the resistance of the conical gears, in contact and bending, is performed accepting the same calculation assumptions as in the calculation of cylindrical gears with straight teeth. It is, therefore, necessary to make a transition from the conical gear to an imaginary cylindrical gear, called virtual gear, and to find equivalence relations between the two gears - real and virtual.