Abstract

Over a range of cam speeds, the problems of minimizing and restricting vibrations in high-speed cam-follower systems over a range of speeds are formulated as constrained optimization problems. A universal Hermite cam displacement is suggested. The combination of these methods can form a general design environment. In this environment, the designer can arbitrarily select one to formulate as the objective function from quantifiable cam properties such as the residual vibration, primary vibration, pressure angle, radius of curvature, and contact stress, while the rest of quantifiable cam properties can be formulated as the design constraints.

References

1.
Stoddart
,
D. A.
, 1953, “
Polydyne Cam Design
,”
Mach. Des.
0024-9114,
25
, pp.
121
135
;
Stoddart
,
D. A.
, 1953, “
Polydyne Cam Design
,”
Mach. Des.
0024-9114,
25
,pp.
146
154
;
Stoddart
,
D. A.
, 1953, “
Polydyne Cam Design
,”
Mach. Des.
0024-9114,
25
,pp.
149
164
.
2.
Kanzaki
,
K.
, and
Itao
,
K.
, 1972, “
Polydyne Cam Mechanisms for Typehead Positioning
,”
ASME J. Eng. Ind.
0022-0817,
108
, pp.
250
254
.
3.
Kwakernaak
,
H.
, and
Smit
,
J.
, 1968, “
Minimum Vibration Cam Profiles
,”
J. Mech. Eng. Sci.
0022-2542,
10
(
3
), pp.
219
227
.
4.
Wiederrich
,
J. L.
, and
Roth
,
R.
, 1975, “
Dynamic Synthesis of Cams Using Finite Trigonometric Series
,”
ASME J. Eng. Ind.
0022-0817,
97
, pp.
287
293
.
5.
Fabien
,
B. C.
,
Longman
,
R. W.
, and
Freudenstein
,
F.
, 1994, “
The Design of High-Speed Dwell-Rise-Dwell Cams Using Linear Quadratic Optimal Control Theory
,”
ASME J. Mech. Des.
1050-0472,
116
, pp.
867
874
.
6.
Chew
,
M.
, and
Chuang
,
C. H.
, 1995, “
Minimizing Residual Vibrations in High-Speed Cam-Follower Systems Over a Range of Speeds
,”
ASME J. Mech. Des.
1050-0472,
117
, pp.
166
172
.
7.
Sandgren
,
E.
, and
West
,
R. L.
, 1989, “
Shape Optimization of Cam Profiles Using a B-Spline Representation
,”
ASME J. Mech., Transm., Autom. Des.
0738-0666,
111
, pp.
195
201
.
8.
Norton
,
R. L.
, 2002,
Cam Design and Manufacturing Handbook
,
Industrial Press
, New York.
9.
Box
,
M. J.
, 1965, “
A New Method of Constrained Optimization and a Comparison with Other Methods
,”
Comput. J.
0010-4620,
8
, pp.
42
52
.
10.
Spendley
,
W.
,
Hext
,
G. R.
, and
Himsworth
,
F. R.
, 1962, “
Sequential Application of Simplex Designs in Optimization and Evolutionary Operation
,”
Technometrics
0040-1706,
4
, pp.
441
461
.
11.
Srinivasan
,
L. N.
, and
Ge
,
Q. Jeffrey
, 1998, “
Designing Dynamically Compensated and Robust Cam Profiles with Bernstein-Bézier Harmonic Curves
,”
ASME J. Mech. Des.
1050-0472,
120
, pp.
40
45
.
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