Designing the variable-input speed of an existing mechanism could improve the output kinematic and dynamic characteristics of a machine. Based on this concept, this paper proposes a method to improve the kinematic and dynamic characteristics of a compound mechanism. It starts deriving with an analysis model of the kinematic and dynamic characteristics of the compound mechanism. Bezier functions with control points are used to design the variable input of the compound mechanism; and the control points and the kinematic and dynamic characteristics of the compound mechanism are determined by solving the optimal function in the optimization toolbox of matlab. Furthermore, the proposed method is illustrated by two design examples. The results show that the output kinematic and dynamic characteristics of the existing machine can be improved by designing the variable-input speed with Bezier functions.

References

References
1.
Rothbart
,
H. A.
,
1956
,
Cams: Design, Dynamics and Accuracy
,
Wiley
,
New York
.
2.
Tesar
,
D.
, and
Matthew
,
G. K.
,
1976
,
The Dynamics Synthesis, Analysis, and Design of Modeled Cam Systems
,
Lexington Books
,
Lanham, MD
.
3.
Yan
,
H. S.
, and
Fong
,
M. K.
,
1994
, “
An Approach for Reducing the Peak Acceleration of Cam-Follower System Using a B-Spline Representation
,”
J. Chin. Soc. Mech. Eng.
,
15
(
1
), pp.
48
55
.
4.
Yan
,
H. S.
,
Hsu
,
M. H.
,
Fong
,
M. K.
, and
Hsieh
,
W. H.
,
1994
, “
A Kinematic Approach for Eliminating the Discontinuity of Motion Characteristics of Cam-Follower Systems
,”
J. Appl. Mech. Rob.
,
1
(
2
), pp.
1
6
.
5.
Yan
,
H. S.
,
Tsai
,
M. C.
, and
Hsu
,
M. H.
,
1996
, “
A Variable-Speed Method for Improving Motion Characteristics of Cam-Follower Systems
,”
ASME J. Mech. Des.
,
118
(
1
), pp.
250
258
.
6.
Yan
,
H. S.
,
Tsai
,
M. C.
, and
Hsu
,
M. H.
,
1996
, “
An Experimental Study of the Effects of Cam Speed on Cam-Follower Systems
,”
Mech. Mach. Theory
,
31
(
4
), pp.
397
412
.
7.
Van de Straete
,
H. J.
, and
De Schutter
,
J.
,
1996
, “
Hybrid Cam Mechanisms
,”
IEEE/ASME Trans. Mechatronics
,
1
(
4
), pp.
284
289
.
8.
Yao
,
Y. A.
,
Zhang
,
C.
, and
Yan
,
H. S.
,
2000
, “
Motion Control of Cam Mechanisms
,”
Mech. Mach. Theory
,
35
(
4
), pp.
593
607
.
9.
Yao
,
Y. A.
,
Yan
,
H. S.
,
Zhang
,
C.
, and
Zou
,
H. J.
,
2000
, “
Integrated Design of Cam Mechanisms and Servo-Control Systems
,”
Sci. China (Ser. E)
,
43
(
5
), pp.
511
518
.
10.
Yan
,
H. S.
,
Yao
,
Y. A.
, and
Zou
,
H. J.
,
2001
, “
Polydyne Servo-Cam Design
,”
J. Chin. Soc. Mech. Eng.
,
22
(
2
), pp.
90
104
.
11.
Yao
,
Y. A.
,
Yan
,
H. S.
, and
Zhang
,
C.
,
2003
, “
A Variable-Speed Method for Reducing Residual Vibrations in Elastic Cam-Follower Systems
,”
ASME J. Dyn. Syst., Meas. Control
,
125
(
3
), pp.
480
482
.
12.
Yao
,
Y. A.
, and
Yan
,
H. S.
,
2003
, “
A Novel Concept for Minimizing Speed Fluctuations in Motor Driven Mechanisms
,”
J. Chin. Soc. Mech. Eng.
,
24
(
4
), pp.
565
570
.
13.
Yao
,
Y. A.
,
Cha
,
J. Z.
, and
Yan
,
H. S.
,
2004
, “
Co-Design of Mechanism and Control
,”
Chin. J. Mech. Eng.
,
40
(
10
), pp.
1
5
.
14.
Kaplan
,
R. L.
, and
Rao
,
S. S.
,
1987
, “
Goal Programming Approach for the Balancing of Variable Input Speed Mechanisms
,” ASME
Design Automation Conference
,
Boston
, Sept. 27–30.
15.
Yan
,
H. S.
, and
Chen
,
W. R.
,
2000
, “
On the Output Motion Characteristics of Variable Input Speed Servo-Controlled Slider-Crank Mechanisms
,”
Mech. Mach. Theory
,
35
(
4
), pp.
541
561
.
16.
Yan
,
H. S.
, and
Chen
,
W. R.
,
2000
, “
A Variable Input Speed Approach for Improving the Output Motion Characteristics of Watt-Type Presses
,”
Int. J. Mach. Tools Manuf.
,
40
(
5
), pp.
675
690
.
17.
Yan
,
H. S.
, and
Chen
,
W. R.
,
2002
, “
Optimized Kinematic Properties for Stevenson-Type Presses With Variable Input Speed Approach
,”
ASME J. Mech. Des.
,
124
(
2
), pp.
350
354
.
18.
Liu
,
J. Y.
,
Hsu
,
M. H.
, and
Chen
,
F. C.
,
2001
, “
On the Design of Rotating Speed Functions to Improve the Acceleration Peak Value of Ball-Screw Transmission Mechanism
,”
Mech. Mach. Theory
,
39
(
4
), pp.
1035
1049
.
19.
Yan
,
H. S.
, and
Soong
,
R. C.
,
2001
, “
Kinematic and Dynamic Design of Four-Bar Linkages by Links Counterweighing With Variable Input Speed
,”
Mech. Mach. Theory
,
36
(
4
), pp.
1051
1071
.
20.
Yan
,
H. S.
, and
Soong
,
R. C.
,
2002
, “
Kinematic and Dynamic Design of Four-Bar Linkages by Mass Retribution With Variable Input Speed
,”
J. Chin. Soc. Mech. Eng.
,
23
(
4
), pp.
321
332
.
21.
Yan
,
H. S.
, and
Soong
,
R. C.
,
2002
, “
Kinematic and Dynamic Design of Four-Bar Linkages With Variable Input Speed and External Applied Loads
,”
Trans. Can. Soc. Mech. Eng.
,
26
(
3
), pp.
281
310
.
22.
Yan
,
H. S.
, and
Soong
,
R. C.
, “
An Integrated Design Approach of Four-Bar Linkages With Variable Input Speed
,”
JSME Int. J., Mech. Syst., Mach. Elem. Manuf., Ser. C
,
47
(
1
), pp.
350
362
.
23.
Yao
,
Y. A.
,
Yan
,
H. S.
, and
Zou
,
H. J.
,
2002
, “
Output Motion Control of Variable-Input-Speed Linkage Mechanisms
,”
Trans. Can. Soc. Mech. Eng.
,
26
(
1
), pp.
1
14
.
24.
Yao
,
Y. A.
,
Yan
,
H. S.
, and
Zou
,
H. J.
,
2005
, “
Dynamic Design of Variable Speed Planar Linkages
,”
Chin. J. Mech. Eng.
,
18
(
1
), pp.
51
54
.
25.
Yan
,
H. S.
, and
Yan
,
G. J.
,
2009
, “
Integrated Control and Mechanism Design for Variable Input-Speed Servo Four-Bar Linkages
,”
J. Mechatronics
,
19
(
2
), pp.
274
285
.
26.
Winkel
,
R.
,
2001
, “
Generalized Bernstein Polynomials and Bézier Curves: An Application of Umbral Calculus to Computeraided Geometric Design
,”
Adv. Appl. Math.
,
27
(
1
), pp.
51
81
.
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