Chapter 5: CAM MOTION SYNTHESIS USING SPLINE FUNCTIONS

SYMBOLS

a = Normal distance between the follower center and the axis of rotation of the cam at initial position

A _j = Constant coefficients ( j = 1, , n)

C _j = Viscous damping coefficient of follower (used in addressing nonrigid follower)

C _s = Viscous damping coefficient of the restoring damper

d = Deviation of cam-follower position from static equilibrium position

d ?= First derivative of deviation

d ? = Second derivative of deviation

E _i,j( x) = Spline function values at constraint locations ( i, j = 1, , n)

F _c = The contact force (used in addressing nonrigid follower)

F _j = Kinematic constraint values ( j = 1, , n)

F _{p ?} = Preload (used in addressing nonrigid follower)

h = Rise of the follower

k = Order of spline function

K _f = Spring constant of follower (used in addressing nonrigid follower)

K _s = Spring constant of return spring (used in addressing nonrigid follower)

l = Length of the cam

M = Mass of follower (used in addressing nonrigid follower)

M _{i,k 2}( s ₂) = B-spline basis functions of order