Page 569 - Cam Design Handbook

THBAP 9/19/03 7:29 PM Page 557

APPENDIX C

POLYNOMIAL COEFFICIENTS

(Chapter 7, Geometry of Planar Cam Profiles)
This appendix contains the polynomial coefficients appearing in the formulas derived in
Chap. 7, Sec. 7.4 for the computation of the geometric properties of cams. For ease of
presentation, the subscript i of the spline coefficient, A xi,..., D yi is omitted throughout.

TABLE C.1
Expression
a ij
1
x
y
a i1 ( CD x - C D y)
2
1
x
a i2 ( BD x - B D y)
y
2
1
a i3 ( 3AD x - 3A D y + B C x - B C y)
x
y
x
y
6
1
x
y
a i4 ( AC x - A C y)
4
1
a i5 ( AB x - A B y)
y
x
10
TABLE C.2
Expression
q xij
q xi1 C yT 7
q xi2 C yT 6 + B yT 7
1
6
y
q xi3 ( C y 4 T + BT 5 + 3AT )
y
2
1
6
y
7
y
q xi4 ( C y 5 T + 4BT + 3AT )
3
1
y
5
q xi5 ( C y 3 T + 4BT + 3AT )
4
y
5
1
q xi6 ( C y 2 T + BT 3 + 3AT )
4
y
y
3
1
3
2
q xi7 ( C y 1 T + 4BT + 3AT )
y
y
7
1
q xi8 ( BT 1 + 3AT )
y
2
y
4
1
q xi9 AT 1
y
3
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