Bevel friction wheel 2 rotates about fixed axis A and engages bevel friction wheel 6 which rotates about fixed axis B-B. Wheel 6 is connected by a screw pair to link 5 on which carriage 8 is rigidly mounted. Carriage 8 is the cage of balls 3 and 7. Link 5 has transnational motion with its square shank d in fixed guide D. Ball 3 engages roll 4 which rotates about fixed axis C-C and ball 7 engages wheel 2. By means of wheel 6 and screw 5, carriage 8, the cage of balls 3 and 7, has a motion which is a function of the rotation of wheel 2. The mathematical relationship accomplished by the mechanism is of the form: where α₄=c’(α₂-α₂₀)²+c”(α₂-α₂₀)+α₄₀ where c’=(i₆₂/4π)(h/r); c”=b₀/r; h is the pitch of screw 5, i₆₂ is the transmission ratio between wheels 6 and 2, α₂ and α₄ are the angles of rotation of wheel 2 and roll 4, and α₂₀ and α₄₀ are the initial angles of rotation of wheel 2 and roll 4. The constant parameters of the mechanism are chosen so that c'=1 and c”=0. If, in addition, it is assumed that α₂₀=α₄₀=0, then the quantity α₄ equals the square of scalar α₂.
$3436$CF,MO$