CAM Design Handbook

Chapter 14: SPECIAL CAM MECHANISMS

Harold A. Rothbart, D. Eng.

SYMBOLS

c e = p 0 + p i = distance between centers of rotation, in

C = a constant

D = effective diameter of rollers, in

E = distance from cam center to circular arc center of curvature, in

h = 2E = maximum displacement of follower, in

K i, K 0 = constants

M = equivalent mechanism connecting rod length, in

r = instantaneous radial distance from center of cam, in


Figure 14.1. Cam-modulated linkages.

R r = roller-follower radius, in

R w = mean radius of pin wheel, in

T = torque transmitted, tangent to the bodies, 16/in 2

V P/Q = velocity of contact point P on body B with respect to the ground A in the tangent direction, in/sec

V P/A = velocity of contact point P on body C with respect to the ground A, in/sec

x, x 1, x 2 = input cam angular rotation, rad

y = follower displacement, in

y ? = equivalent mechanism follower displacement measured from crank-end dead center, in

Y = output follower angular rotation, rad

? = angle between tangents to cam contour

? = crank angle rotation (equivalent mechanism) for displacement y e, rad

= angle tan ? 1

= coefficient of friction position, in

? 0 = angle...

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