Cam follower systems are widely used in manufacturing because of their precise motion and ability to easily dwell. The cam typically drives a follower in some precise motion needed to accomplish a manufacturing task. Presented in this paper is a closed-form modified trapezoidal cam motion function with adjustable positive and negative acceleration. The profile is suitable for multiple-dwell cam and follower applications. The profile is particularly applicable to high-speed cams in which the follower acceleration is a primary design objective. The main benefit of the profile is that it allows cam designers to easily set limits on the positive and negative acceleration to achieve design objectives. Additional benefits are that the cycle jerk is continuous and that the cam designer can control the maximum magnitude of jerk. The motion program is presented in closed-form for easy implementation in standard equation-solver or spreadsheet software. Dynamic and harmonic analyses are presented to illustrate the benefits of the profile.

References

References
1.
Shigley
,
J. E.
, and
Uicker
,
J. J.
, Jr.
, 1980,
Theory of Machines and Mechanisms
,
McGraw-Hill
,
New York
, pp.
204
207
.
2.
Flocker
,
F. W.
, 2009, “
Addressing Cam Wear and Follower Jump in Single-Dwell Cam-Follower Systems With an Adjustable Modified Trapezoidal Acceleration Cam Profile
,”
ASME J. Eng. Gas Turbines Power
,
131
(
3
), p.
032804
.
3.
Lampinen
,
J.
, 2003, “
Cam Shape Optimisation by Genetic Algorithm
,”
Comput.-Aided Des.
,
35
, pp.
727
737
.
4.
Mermelstein
,
S. P.
, and
Acar
,
M.
, 2004, “
Optimising Cam Motion Using Piecewise Polynomials
,”
Eng. Comput.
,
19
, pp
241
254
.
5.
Qiu
,
H.
,
Lin
,
C.-J.
,
Li
,
Z.-L.
,
Ozaki
,
H.
,
Wang
,
J.
, and
Yue
,
Y.
, 2005, “
A Universal Optimal Approach to Cam Curve Design and it Applications
,”
Mech. Mach. Theory
,
40
, pp.
669
692
.
6.
Bravo
,
R. H.
, and
Flocker
,
F. W.
, 2011, “
Optimizing Cam Profiles Using the Particle Swarm Technique
,”
ASME J. Mech. Des.
,
133
, p.
091003
.
7.
Acharyya
,
S.
, and
Naskar
,
T. K.
, 2008, “
Fractional Polynomial Mod Traps for Optimization of Jerk and Hertzian Contact Stress in Cam Surface
,”
Comput. Struct.
,
86
, pp.
322
329
.
8.
Mosier
,
R. G.
, 2009, “
Spline Functions
,”
Cam Design and Manufacturing Handbook
,
2nd ed.
,
R. L.
Norton
, ed.,
Industrial
,
New York
, pp.
69
124
.
9.
Huey
,
C. O.
, Jr.
, and
Tsay
,
D.
, 2004, “
Cam Motion Synthesis Using Spine Functions
,”
Cam Design Handbook
,
H. A.
Rothbart
, ed.,
McGraw-Hill
,
New York
, pp.
107
157
.
10.
Mosier
,
R. G.
,
Geist
,
B.
, and
Resh
,
W. F.
, 2006, “
Method for Production of a Constraint-Satisfied Cam Acceleration Profile
,” U.S. Patent No. 7,136,789.
11.
Norton
,
R. L.
, 2009,
Cam Design and Manufacturing Handbook
,
2nd ed.
,
Industrial
,
New York
, Chaps. 3 and 7.
12.
Norton
,
R. L.
, 1988, “
Effect of Manufacturing Method on Dynamic Performance of Cams—An Experimental Study. Part I—Eccentric Cams
,”
Mech. Mach. Theory
,
23
(
3
), pp.
191
208
.
13.
Norton
,
R. L.
,
Levasseur
,
D.
,
Pettit
,
A.
, and
Alamsyah
,
C.
, 1988, “
Analysis of the Effect of Manufacturing Methods and Heat Treatment on the Performance of Double Dwell Cams
,”
Mech. Mach. Theory
,
23
(
6
), pp.
461
473
.
14.
Neklutin
,
C. N.
, 1954, “
Vibration Analysis of Cams
,”
Mach. Des.
,
26
, pp.
190
198
.
15.
Ragsdell
,
K. M.
, and
Giley
, Jr.,
H. E.
, 1969, “
Optimum Cam Design Using the Skewed Modified Trapezoidal Profile
,” Oklahoma State University Applied Mechanism Conference, Tulsa, Oklahoma, July 31–Aug. 1.
16.
Tylczak
,
J. H.
, 1992, “
Abrasive Wear
,”
Friction, Lubrication and Wear Technology
, ASM Handbook, Vol.
18
,
ASM International
,
Materials Park, Ohio
.
17.
Ludema
,
K. C.
, 1992, “
Sliding and Adhesive Wear
,”
Friction, Lubrication and Wear Technology
, Vol.
18
,
ASM Handbook, ASM International
,
Materials Park, Ohio
.
18.
Blau
,
P. J.
, 1992, “
Rolling Contact Wear
,”
Friction, Lubrication and Wear Technology
, Vol.
18
,
ASM Handbook, ASM International
,
Materials Park, Ohio
.
19.
Greenberg
,
M. D.
, 1978,
Foundations of Applied Mathematics
,
Prentice-Hall
,
Englewood Cliffs, NJ
, Chap. 5.
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