CAM Design Handbook

Chapter 7: GEOMETRY OF PLANAR CAM PROFILES

Overview

Jorge Angeles, Ph.D.

Dept. of Mech. Eng. McGill University CANADA
angeles@cim.mcgill.ca

Carlos S. L pez-Caj n, Ph.D.

Depto. de Ing Mec nica Universidad A. de Quer taro MEXICO
carlos@citlali.imt.mx

J. Jes s Cervantes-S nchez, Ph.D.

Depto. de Ing. Mec nica Universidad de Guanajuato MEXICO
jecer@salamanca.ugto.mx

SYMBOLS

a = radius of camshaft

a i = scalar component of w i

A = cam area

A i = component of w i

A G = cubic spline matrices

A xi D yi = cubic spline coefficients at the ith point P i

b i = vector component of w i

c = radius of balancing hole

c = fixed component of follower displacement

c = centroid vector

c 1 = x component of centroid location

c 2 = y component of centroid location

c 3 = z component of centroid location

C = closed cam surface contour

d = component location along axis of rotation

e = follower offset

e = counterweight radius component

e n = unit normal vector

e t = unit tangential vector

e ? = polar circumferential unit vector

e ? = polar radial unit vector

E = 90 degree CCW rotation matrix

f = counterweight centroid location

f s = centrifugal force

F(O,x,y,z) = 3D cam coordinate frame

h ik = polynomial coefficient

h = radial difference vector

I o = cam inertia...

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