Patent ID: 8690473

Claim:
A torque transmitting system, the torque transmitting system comprising: a) a driving member, the driving member having teeth on its outer surface; and b) a driven member, the driven member having teeth conjugate to the teeth of the driving member for transmitting torque therebetween; wherein the teeth of the driving member and the driven member have a tooth profile defined in a plane of r-Θ polar coordinate system, the tooth profile provided by a functionally continuous curve obtained by combining a first curve to a second curve, the first curve being represented by a mathematical expression and the second curve being the mirror-image of the first curve about a radial axis passing through the central axis of the driving member and one of two extreme points of the first curve, and the mathematical expression for the first curve being defined by r=h[Θ/β− 1/2Π(sin(2ΠΘ/β))], in a defined area of 0≦Θ≦β, wherein, r is a function of Θ and defines the radial distance from a final base surface on which the tooth profile is generated; Θ is a rotational angle varying from 0 to β; h is a constant denoting the depth of the tooth; β is a constant equal to (Π/z); and z is the number of teeth.