Page 188 - Cam Design Handbook

THB7 8/15/03 1:58 PM Page 176

176 CAM DESIGN HANDBOOK

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 matrix
I xx = inertia component about x axis
I yy = inertia component about y axis
I xy = product of inertia
I xz = product of inertia
I yz = product of inertia
I zz = polar moment of inertia
o
I = inertia about O
o
J = polar moment of inertia about O
K = center of cam curvature
l = distance from cam center to oscillating follower pivot
m = radial difference vector
m s = centrifugal moment
n = position index count
n i = unit outward normal vector of G
O = center of cam rotation
O l = start of arc
p = cam surface position, length
p = position vector
q = first moment of cam area
o
q = first moment about O
o
Q = first moment about O
r = cam radius of curvature
r = position vector
r i = position vector to surface
R = cam region
s i = cam surface length
s(y) = follower displacement function
S = solid boundary
S i = polygon segment
t = thickness
v i = third moment of G i segment
V = cam volume
V 3 = solid volume
w i = inertia evaluation component
x = Cartesian coordinate
x i = location of balancing hole center
x i = center of mass location
y = Cartesian coordinate
y = output displacement
z = Cartesian coordinate
‘ = first spatial derivative
“ = second spatial derivative
|| || = absolute value
a = pressure angle
a m = minimum pressure angle
a M = maximum pressure angle
y = angle of cam rotation