CAM Design Handbook

Chapter 5: CAM MOTION SYNTHESIS USING SPLINE FUNCTIONS

Cecil O. Huey, Jr., PhD

Professor of Mechanical Engineering
Clemson University, Clemson, South Carolina

Dermin Tsay, PhD

Professor, Department of Mechanical Engineering
National Sun Yat Sen University
Kaohsiung, Taiwan

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

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