Page 187 - Cam Design Handbook

THB7 8/15/03 1:58 PM Page 175

CHAPTER 7

GEOMETRY OF PLANAR CAM
PROFILES

Jorge Angeles, Ph.D.
Dept. of Mech. Eng. McGill University CANADA
angeles@cim.mcgill.ca

Carlos S. López-Cajún, Ph.D.
Depto. de Ing Mecánica Universidad A. de Querétaro MEXICO
carlos@citlali.imt.mx

J. Jesús Cervantes-Sánchez, Ph.D.
Depto. de Ing. Mecánica Universidad de Guanajuato MEXICO
jecer@salamanca.ugto.mx

7.1 INTRODUCTION 177 7.4 COMPUTATIONAL SCHEMES 186
7.2 LOCAL PROPERTIES OF THE CAM 7.5 COMMERCIAL SOFTWARE
PROFILE 177 PACKAGES 203
7.3 GLOBAL PROPERTIES OF THE CAM 7.6 CASE STUDIES 204
PROFILE 184

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 q = polar circumferential unit vector
e r = polar radial unit vector
E = 90 degree CCW rotation matrix

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