Global optimization in path synthesis based on design space reduction

Mechanism and Machine Theory

Volumn 38, Issue 6, 2003, Pages 579-594

  Sánchez Marín, Francisco T ^a   González, Antonio Pérez ^a  

^a UNIVERSITAT JAUME I   (Spain)

Author keywords

Approximate synthesis; Four bar linkage; Linkage synthesis; Path generation

Indexed keywords

COSTS; OPTIMIZATION; PATTERN RECOGNITION;

LINKAGE SYNTHESIS;

MECHANISMS;

EID: 0037409372     PISSN: 0094114X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0094-114X(03)00010-7     Document Type: Article

References (23)

1. Tomás J. The synthesis of mechanisms as a nonlinear programming problem. Journal of Mechanisms. 3(3):1968;119-130.
2. Bakthavachalam N., Kimbrell J.T. Optimum synthesis of path-generating four-bar mechanisms. Journal of Engineering for Industry. 97(1):1975;314-321.
3. Nolle H., Hunt K. Optimum synthesis of planar linkages to generate coupler curves. Journal of Mechanisms. 6(3):1971;267-287.
4. Angeles J., Alivizatos A., Akhras R. An unconstrained nonlinear least-square method of optimization of RRRR planar path generators. Mechanism and Machine Theory. 23(5):1988;343-353.
5. Garret R.E., Hall A.S. Jr. Optimal synthesis of randomly generated linkages. Journal of Engineering for Industry. 90:1968;475-480.
6. Kunjur A., Krishnamurty S. Genetic algorithms in mechanism synthesis. Journal of Applied Mechanisms & Robotics. 4(2):1997;18-24.
7. Zhang C., Norton R.L., Hammond T. Optimization of parameters for specified path generation using an atlas of coupler curves of geared five-bar linkages. Mechanism and Machine Theory. 19(6):1984;459-466.
8. I. Ullah, S. Kota, Globally-optimal synthesis of mechanisms for path generation using simulated annealing and Powell's method, Proceedings of the 1996 ASME Design Engineering Technical Conferences. 96-DETC/MECH-1225. Irvine, California, USA, 1996.
9. Levenberg K. A method for the solution of certain non-linear problems in least squares. Quarterly of Applied Mathematics - Notes. 2(2):1994.
10. A.V. Fiacco, G.P. McCormick, Programming under nonlinear constraints by unconstrained minimization, a primal-dual method. The Research Analysis Corp., RAC TP-96, Bethesda, 1963.
11. Fletcher R., Powell M.J.D. A rapidly convergent descent method for minimization. The Computer Journal. 6:1963;163-168.
12. Powell M.J.D. An efficient method for finding the minimum of a function of several variables without using derivatives. The Computer Journal. 7:1964;155-162.
13. Nelder J.A., Mead R. A simplex method for function minimization. Computer Journal. 7:1965;308-313.
14. Holland J.H. Adaptation in natural and artificial systems. 1975;University of Michigan Press, Ann Arbor, MI.
15. Watanabe K. Application of natural equations to the synthesis of curve generating mechanisms. Mechanism and Machine Theory. 27(3):1992;261-273.
16. Krishnamurty S., Turcic D.A. Optimal synthesis of mechanisms using nonlinear goal programming techniques. Mechanism and Machine Theory. 27(5):1992;599-612.
17. F.T. Sánchez Marín, Contribución a la síntesis dimensional de mecanismos planos para generación de trayectoria (Docotoral dissertation). Universitat Jaume I, Castellón, Spain, 2000.
18. Hrones J.A., Nelson G.L. Analysis of the Four-bar Linkage. 1951;John Wiley, New York.
19. Hartenberg R.S., Denavit J. Kinematic Synthesis of Linkages. 1964;McGraw-Hill, New York.
20. Torfason L.E., Ahmed A. Double points of a 4-bar linkage. Mechanism and Machine Theory. 13(6):1978;593-601.
21. Hernández A., Amezua E., Ajuria M.B.G., Vallejo J. Síntesis de puntos triples en curvas del acoplador del cuadrilátero articulado. Revista Iberoamericana de Ingeniería Mecánica. 1(1):1997;5-21.
22. Dibakar S., Mruthyunjaya T.S. Synthesis of workspaces of planar manipulators with arbitrary topology using shape representation and simulated annealing. Mechanism and Machine Theory. 34:1999;391-420.
23. Unruh V., Krishnaswami P. A computer-aided design technique for semi-automated infinite point coupler curve synthesis of four-bar linkages. Journal of Mechanical Design. 117:1995;143-149.