Numeral structure of a newly cyclodial linear gear

Numeral structure of a newly cyclodial linear gear

1 node co-ordinates computation rule

Cycloidal gear tooth profile curvature (as demonstrated) for short bits epicycloid equidistance line, the equating is:

planetary gear reducer the the x = Rzsin-Asin (ZB 1) r3sin (-) y = Rzcos-Acos (ZB 1)-r3cos (-) (1), Rz is the encircle radius of the centre of the pin wheel; A is an eccentricity; r3 pin wheel radius; zb is the amount of teeth of the cycloid gear; angle as a parameter, i.e. the cycloid angular; (-) for a trochoid tooth profile to a aim on the convention line and the angle of the Y-axis.

= Arctansin (zb) 1/k1-cos (zb) (2)

Wherever, k1 short bits coefficient; the k1 = Azk / Rz = r1/Rz,; zk needle amount of teeth, zk = zb; r1 pin wheel pitching circulate radius.

By equating (1) could be received concording to the rule of derivative the calculus, cycloid tooth profile curved shape of any aim on the radius of curve: = [1 k21-2k1cos (zb)] 3/2Rzk1 (zb) cos (zb) – 1 k21 (zb 1)] r3 (3)

Whenever a applied approximation fault for the radius of curve of the tooth profile curvature of the actual node, the node of the condition of the neighbourhood could be the radius of the circinate arc alternating. To ascertain that the present-day node to the following node footstep ought be fewer than the estimation fault could be approximated:

l = 42-28 (4)

Step i.e. These microwarpdrives section of the harmonise distance might be showed as:

l = dxd2 dyd2 (5)

Utmost. Could as well be assured from the figure, into the level pressing as well great to grow into adverse supersonic machining efficiency.

b 1) r3cos (-) d-1dyd =-Rzsin A (zb 1) sin (zb 1) r3sin (-) d-1d = zb [1/k1cos (zb) -1] [1/k1-cos (zb )] 2cos2 the preceding effects are replaced into the normal (5), the shift key could be decided afterward the growth of the parametric quantity angle: = ldxd2 dyd2

Sum up the preceding effects, could be drawn off from searching cycloid tooth profile curvature nodes, follow these footsteps.

Varying speeding gearbox 1) Given the first aim on the tooth profile curvature of the ni (i = 1) of the parameter angle i = 0, decided concording to the normal (1) xi = 0; = Rz-R3. Concording to normal (2) is received i. Concording to normal (3) is got i. Concording to normal (4) received li. Concording to the normal (5) ascertained the aim dxidi; dyidi. Decided concording to the normal (6) i.

标签：cycloidal gearbox