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.
Issue Section:
Technical Brief
Keywords:
Mechanism design
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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