Optimum synthesis of the four-bar function generator in its symmetric embodiment: The Ackermann steering linkage

Mechanism and Machine Theory

Volumn 37, Issue 12, 2002, Pages 1487-1504

  Simionescu, P A ^a   Beale, D ^a  

^a AUBURN UNIVERSITY   (United States)

Author keywords

Ackermann linkage; Four bar mechanism; Optimum synthesis; Steering error

Indexed keywords

APPROXIMATION THEORY; FUNCTIONS; NUMERICAL METHODS; OPTIMIZATION; STEERING;

SYMMETRIC EMBODIMENT;

FUNCTION GENERATORS;

EID: 0036888064     PISSN: 0094114X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0094-114X(02)00071-X     Document Type: Article

References (22)

1. Erdman A.G., Sandor G.N., Kota S. Mechanism Design: Analysis and Synthesis. 2001;Prentice Hall.
2. Erdman A.G. (Ed.) Modern Kinematics. Developments in the Last Forty Years. 1993;Wiley, New York.
3. Suh C.H., Mecklenburg A.W. Optimal design of mechanisms with the use of matrices and least squares. Mechanism and Machine Theory. 8:1973;479-495.
4. P.A. Simionescu, Contributions to the Optimum Synthesis of Linkage Mechanisms with Applications, Doctoral Dissertation, Polytechnic University of Bucharest, 1999.
5. L. Markus, The synthesis of mechanisms as a minimax principle of the optimal selection of parameters, Proceedings of the First International Symposium on Mechanisms and Computer Aided Design Methods, Bucharest, A (1973) 422-429.
6. Kurien Issac K. A nondifferentiable optimization algorithm for constrained minimax linkage function generation. Transactions of ASME Journal of Mechanical Design. 115:1993;978-987.
7. Alizade R.I., Mohan Rao A.V., Sandor G.N. Optimum synthesis of four-bar and offset slider-crank planar and spatial mechanism using the penalty function approach with inequality and equality constraints. Transactions of ASME Journal of Engineering for Industry. 97:1975;785-790.
8. Levitskii N.I., Sarkissyan Y.L., Geckian G.S. Optimum synthesis of four-bar function generating mechanism. Mechanism and Machine Theory. 7:1972;387-398.
9. Freudenstein F. Approximate synthesis of four-bar linkages. Transactions of the ASME. 77:1955;853-861.
10. Angeles J. Optimal synthesis of linkages using Householder reflections. Proceedings of the 5th World Congress on the Theory of Machines and Mechanisms, Montreal. 1:1979;111-114.
11. I.I. Artobolevsky, N.I. Levitskii, S.A. Cercudinov, Synthesis of Planar Mechanisms, Fizmatghiz, Moscow, 1959.
12. Simionescu P.A., Alexandru P. Synthesis of function generators using the method of increasing the degree of freedom of the mechanism. Proceedings of the Ninth World Congress on the Theory of Machines and Mechanisms, Milan. 1:1995;139-143.
13. Simionescu P.A., Smith M.R., Tempea I. Synthesis and analysis of the two loop translational input steering mechanism. Mechanism and Machine Theory. 35:2000;927-943.
14. Aviles R., Amezua E., Hernandez A. An energy-based general method for the optimum synthesis of mechanisms. Journal of Mechanical Design. 116:1994;127-136.
15. Bevan T. The Theory of Machines Longmans. 1943;Green and Co. London.
16. Wolfe W.A. Analytical design of an Ackermann steering linkage. Transactions ASME Journal of Engineering for Industry. 11:1959;11-14.
17. Rao R. Steering linkage design. A method of determining the configuration of the steering linkage so that the geometry conforms to Ackermann principle. Automobile Engineer. 58:1968;31-33.
18. P. Lukin, G. Gasparyants, V. Rodionov, Automobile Chassis, Design and Calculation, Mir, Moscow, 1989.
19. Yao J., Angeles J. The kinematic synthesis of steering mechanisms. Transactions of the CSME. 24:2000;453-476.
20. Brent R.P. Algorithms of Minimization Without Derivatives. 1973;Prentice-Hall, New York.
21. Reimpell J., Stoll H. The Automotive Chassis: Engineering Principles. 1996;Arnold, London.
22. Simionescu P.A., Smith M.R. Single valued function representations in linkage mechanisms design. Mechanism and Machine Theory. 35:2000;1709-1726.