##### From CAM Design Handbook

## 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**

**SYMBOLS**

a= radius of camshaft

a_{ i}= scalar component ofw_{i}

A= cam area

A_{ i}= component ofw_{i}

= cubic spline matricesAG

A_{ xi}D_{ yi}= cubic spline coefficients at the ith point P_{i}

b_{ i}= vector component ofw_{i}

c= radius of balancing hole

c= fixed component of follower displacement

= centroid vectorc

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

= 90 degree CCW rotation matrixE

f= counterweight centroid location

f_{ s}= centrifugal force

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

h_{ ik}= polynomial coefficient

= radial difference vectorh

I_{ o}= cam inertia...

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Harold A. Rothbart, D. Eng. SYMBOLS A = follower acceleration, in/sec 2 F = friction force to cam surface, lb F a = inertia force, lb F k = kinetic friction force, lb F n = force normal to cam...

Harold A. Rothbart, D. Eng. SYMBOLS c e = p 0 + p i = distance between centers of rotation, in C = a constant D = effective diameter of rollers, in E = distance from cam center to circular arc center...

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...

SYMBOLS [3], [4] a radius of circular area of contact, m (in) A acceleration of the follower, m/s 2 (in/s 2) follower overhang, m (in) A c arc of pitch circle, m (in) b half the band of width of...

Exercises 3.1 Centroid: Consider a node with unknown coordinates located in a square region of side d, with four reference nodes on the corners of the square. Consider three cases, when the reference...