The optimal design of linkage mechanisms for path generation and motions with reduced harmonic content is investigated in this paper. The designs are carried out using a two-objective optimizer based on fuzzy theory. The four-bar mechanism is first optimally designed to follow a specified coupler path with the harmonic content of the output link motion being simultaneously minimized to reduce its oscillating frequency bandwidth. For more complicated paths, a five-bar hybrid mechanism driven by a constant speed motor and a servo motor is also optimally designed. The harmonics in the servo motion are also reduced in the design to improve the dynamic characteristics for the servo motor.
Issue Section:
Technical Briefs
1.
Connor
, A. M.
, Douglas
, S. S.
, and Gilmartin
, M. J.
, 1998
, “The use of Harmonic Information in the Optimal Synthesis of Mechanisms
,” J. Eng. Design
, 9
(3
), pp. 239
–249
.2.
Rao
, S. S.
, 1987
, “Description and Optimum Design of Fuzzy Mechanical Systems
,” ASME J. Mech., Transm., Autom. Des.
, 109
(1
), pp. 126
–132
.3.
Krishna
, K. M.
, Krishnamurthi
, S.
, and Kramer
, S. N.
, 1994
, “Application of Fuzzy Set Theory to Planar and Spatial Mechanism Design
,” Mechanism Synthesis and Analysis, DE-Vol. 70, ASME.4.
Connor, A. M., Douglas, S. S., and Gilmartin, M. J., 1995, “The Synthesis of Hybrid Five-Bar Path Generating Mechanisms Using Genetic Algorithms,” Proceedings of the 1st IEE/IEEE Conference on Genetic Algorithms in Engineering System: Innovations and Application, pp. 313–318.
5.
Charnes, A. and Cooper, W. W., 1961, Management Models and Industrial Applications of Linear Programming, Wiley, Vol. 1, New York.
6.
Douglas, S. S., 1981, “Design of a High-Speed Sewing Machine,” Ph.D. Thesis, Liverpool Polytechnic, UK.
7.
Ijiri, Y., 1965, Management Goals and Accounting for Control, North Holland, Amsterdam.
8.
Salukvadze
, M. E.
, 1974
, “On the existence of solution in problems of optimisation under vector valued criteria
,” Journal of Optimisation Theory and Applications
, 12
, 2
, pp. 203
–217
.9.
Norton, R. L., 1992, Design of Machinery, McGraw, Hill.
10.
Rao, S. S., 1984, Optimization: Theory and Application, Wiley, New York.
11.
Yuan, Zhongfan, Gilmartin, J. M., Douglas, S. S., July 1998, “Motion production and hybrid machine design,” Proceedings of the International Conference Mechanism in Design, published by C. R. Gentle & J. B. Hull Press, UK, pp 502–511.
12.
Yu, H., Yuan, Z., Gilmartin, J. M., and Lloyd, S., October 1999, “Modelling and control of a slider hybrid seven-bar system,” Proceedings of the IASTED Robotics and Applications International Conference, USA, pp 318–323.
13.
Azarm, S., 1997, “Multiobjective optimum design,” University of Maryland, notes available on internet: www.glue.umd.edu/∼azarm/optimum_notes/multi/multi.html.
Copyright © 2004
by ASME
You do not currently have access to this content.
