Friction cone 2 rotates about fixed axis A-A and engages ball 8 which is h e l d in cage (carriage) 9. Carriage 9 is rigidly mounted on screw 5 and its square shank a slides axially with the screw in fixed guide D. Roll 4 rotates about fixed axis B-B. Gear 6 is keyed to roll 4 and meshes with gear 7 which is connected by a screw pair to screw 5. Rotation of roll 4 traverses screw 5 with cage 9, holding balls 3 and 8. Ball 3 engages roll 4 and, through ball 8, causes friction cone 2 to rotate. The mathematical relationship accomplished by the mechanism is of the form: α₂=α₂₀+ln((c*(α₄-α₄₀))/c’)+c’ where c=(i₆₇*h*sin(γ))/(2πr), c’=(b*sin(γ))/r, α₂ is the angel of rotation of wheel 2, α₂₀ is the initial angle of rotation of wheel 2, α₄ is the angle of rotation of roll 4, α₄₀ is the initial angle of rotation of roll 4, i₆₇ is the transmission ratio between gears 6 and 7, h is the pitch of screw 5, b is the coordinate of the initial point of contact of ball 8 with reference to the apex of cone 2, and r is the radius of roll 4.
$3437$CF,MO$