A technique for designing torque balancing cam (TBC) systems that are composed of spring-loaded planar cams with translating followers for globoidal cam indexing mechanisms (GCIMs) has been presented. Such a device can be attached to the input shaft of a GCIM to reduce the variation of its cam rotational speed. As a result, for high-speed applications, the intensity of residual vibrations of a GCIM can be decreased and its indexing accuracy can be improved. To approximate the required counterbalancing torque curves, nonparametric rational B-splines have been applied to synthesize the planar cam motion programs. Experimental results have also been shown to illustrate a practical, high-speed application. It has been proven that the use of such a TBC mechanism is useful and effective.

Issue Section:
Technical Papers
Keywords:
design engineering, production, mechanical engineering, torque control, mechanical control equipment, splines (mathematics)
Topics:
Design, Indexing (Machining), Torque, B-splines, Cams, Springs
1.
Chen, F. C., 1982, Mechanics and Design of Cam Mechanisms, Pergamon Press.
2.
Rothbart, H. A., 1956, Cams, John Wiley.
3.
Tsay
,
D. M.
, and
Lin
,
B. J.
,
1997
, “
Design and Machining of Globoidal Index Cams
,”
ASME J. Manuf. Sci. Eng.
,
119
, pp.
21
–
29
.
4.
Tesar, D., and Matthew, G. K., 1976, The Dynamic Synthesis, Analysis, and Design of Modeled Cam Systems, Lexington Books.
5.
Reeve, J., 1995, Cams for Industry, Paston Press.
6.
Johnson
,
R. C.
,
1984
, “
Force Reduction by Motion Design in Spring-loaded Cam Mechanisms
,”
ASME J. Mech., Transm., Autom. Des.
,
106
, pp.
278
–
284
.
7.
MacCarthy
,
B. L.
, and
Burns
,
N. D.
,
1985
, “
An Evaluation of Spline Functions for Use in Cam Design
,”
J. Mech. Eng. Sci.
,
199
, pp.
239
–
248
.
8.
Tsay
,
D. M.
, and
Huey
,
C. O.
,
1993
, “
Application of Rational B-Spline to the Synthesis of Cam-Follower Programs
,”
ASME J. Mech. Des.
,
115
, pp.
621
–
626
.
9.
Tsay
,
D. M.
, and
Lin
,
B. J.
,
1996
, “
Improving the Geometry Design of Cylindrical Cams Using Nonparametric Rational B-Splines
,”
Computer-Aided Design
,
28
(
1
), pp.
5
–
15
.
10.
Chakraborty, J., and Dhande, S. G., 1977, Kinematics and Geometry of Planar and Spatial Cam Mechanisms, Wiley Eastern Limited.
11.
Backhouse
,
C. J.
, and
Rees Jones
,
J.
,
1990
, “
Envelope Theory Applied to Globoidal Cam Surface Geometry
,”
J. Mech. Eng. Sci.
,
204
, pp.
409
–
416
.
12.
Tsay
,
D. M.
, and
Wei
,
H. M.
,
1996
, “
A General Approach to the Determination of Planar and Spatial Cam Profiles
,”
ASME J. Mech. Des.
,
118
, pp.
259
–
265
.
13.
Tsay
,
D. M.
, and
Ho
,
H. C.
,
2000
, “
Consideration of Manufacturing Parameters in the Design of Grooved Globoidal Cam Indexing Mechanisms
,”
J. Mech. Eng. Sci.
,
215
, pp.
95
–
103
.
14.
Tascan
,
S.
,
1985
, “
The Minimization of the Fluctuation of Input Shaft Speed in Cam Mechanisms
,”
Mech. Mach. Theory
,
20
(
2
), pp.
135
–
138
.
15.
Sarring, E. J., 1962, “Torque Compensation for Cam Systems,” ASME Proceedings of 7th Conf. On Mechanisms, Oct. 8–10, pp. 179–185.
16.
Benedict, C. E., Matthew, G. K, and Tesar, D., 1971, “Torque Balancing of Machines by Sub-unit Cam Systems,” Proceedings of 2nd Applied Mechanisms Conference, Oklahoma State University, Stillwater, October, pp. 15-1∼15-3.
17.
Nishioka
,
M.
, and
Uchino
,
M.
,
1993
, “
Compensation of Input Shaft Torque on Indexing Cam Mechanisms
,”
JSME Int. J. Ser. C
,
59
(
562
), pp.
1913
–
1919
.
18.
Nishioka, M., 1999, “Design of Torque Compensation Cam Using Measured Torque Distribution,” IFToMM 10th World Congress on the Theory of Machine and Mechanisms, June 20–24, Oulu, Finland, Proceedings Vol. 4, 1471–1476.
19.
Cox
,
M. G.
,
1972
, “
The Numerical Evaluation of B-splines
,”
J. Inst. Math. Appl.
,
10
, pp.
134
–
149
.
20.
de Boor
,
C.
,
1972
, “
On Calculating with B-splines
,”
J. Approx. Theory
,
6
, pp.
50
–
62
.
21.
de Boor, C., 1978, A Practical Guide to Splines, Springer-Verlag.
22.
Butterfield
,
K. R.
,
1976
, “
The Computation of All the Derivatives of a B-spline Basis
,”
J. Inst. Math. Appl.
,
17
, pp.
15
–
25
.
Copyright © 2002
 by ASME
You do not currently have access to this content.