Involute gear
A gear for driving a linear member comprising a tooth tip, a tooth base, a contact face disposed between the tooth tip and the tooth base, the contact face having the shape, X=L sin(α−Θ) and Y=L cos(α−Θ), where tan(α)=(B/2+2πΘ/360) /R, L=(R{circumflex over (0)}2+(B/2+2πΘ/360/R){circumflex over (0)}2){circumflex over (0)}0.5, B=width of tooth base, R=pitch radius, Θ=relative angle of gear tooth to contacting member, a linear member comprising a plurality of holes, and the contact face engagable with the linear member through a hole.
1 . A gear for driving a linear member comprising:
a tooth tip;
a tooth base;
a contact face disposed between the tooth tip and the tooth base, the contact face having the shape,
X=L sin(α−Θ) and Y=L cos(α−Θ), where
tan(α)=( B/ 2+2πΘ/360)/ R,
L= ( R{circumflex over ( 0 )} 2+( B/ 2+2πΘ/360/ R ){circumflex over ( 0 )}2){circumflex over ( 0 )}0.5,
B =width of tooth base,
R =pitch radius,
Θ=relative angle of gear tooth to contacting member;
a linear member comprising a plurality of holes; and
the contact face engagable with the linear member through a hole.
2 . The gear as in claim 1 , wherein the linear member has a rack form.
3 . The gear as in claim 1 , wherein the tooth tip is arcuate.
4 . The gear as in claim 1 , wherein the tooth base comprises a radius (R).