A unified input-output analysis of four-bar linkages

Mechanism and Machine Theory

Volumn 43, Issue 2, 2008, Pages 240-251

  Bai, Shaoping ^a   Angeles, Jorge ^b  

^a AALBORG UNIVERSITY   (Denmark)

^b MCGILL UNIVERSITY   (Canada)

Author keywords

Dual numbers; Four bar linkages; Robust input output analysis; The Principle of Transference

Indexed keywords

ALGORITHMS; NUMERICAL METHODS; OPTIMIZATION; ROBUSTNESS (CONTROL SYSTEMS);

DUAL NUMBERS; PRINCIPLE OF TRANSFERENCE;

ELECTRIC CONNECTORS;

EID: 37349123253     PISSN: 0094114X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechmachtheory.2007.01.002     Document Type: Article

References (23)

1. Beyer R. Kinematische Getriebesynthese (1953), Springer Verlag, Berlin-Göttingen-Heidelberg
2. Suh C.H., and Radcliffe C.W. Kinematics and Mechanisms Design (1978), Wiley, New York
3. Luck K., and Modler K.H. Getriebetechnik-Analyse, Synthese, Optimierung (1995), Springer-Verlag, Berlin
4. Crane III C.D., and Duffy J. Kinematic Analysis of Robot Manipulators (1998), Cambridge University Press, Cambridge, England
5. McCarthy J.M. Geometric Design of Linkages (2000), Springer-Verlag, New York
6. Dukkipati R.V. Spatial Mechanisms: Analysis and Synthesis (2001), Narosa Publishing House
7. Kreutzinger R. Über die Bewegung des Schwerpunktes beim Kurbelgetriebe, Maschinenbau. Beilage Getriebetechnik 10 (1942) 397-398
8. Sieker K.-H. Zur algebraischen Maßsynthese ebener Kurbelgetriebe. Archive of Applied Mechanics (Ingenieur Archiv) 24 3 (1956) 188-215
9. Peisach E.E. Analysis of link positions and domains of existence of the spatial RCCC mechanism. Part 1: Theory of mechanisms and machines. A Scientific Electronic Journal of St. Peterburg State Polytechnic University 1 2 (2003) 17-27
10. Peisach E.E. Analysis of link positions and domains of existence of the spatial RCCC mechanism. Part 2: Theory of mechanisms and machines. A Scientific Electronic Journal of St. Peterburg State Polytechnic University 2 1 (2004) 2-25
11. F. Dimentberg, The screw calculus and its applications in mechanics, Izdat, Nauka, Moscow, English Translation: AD680993, Clearinghouse for Federal and Scientific Technical Information, 1965.
12. Bottema O., and Roth B. Theoretical Kinematics (1990), Dover Publications, Mineola, NY
13. Rico Martínez J., and Duffy J. The principle of transference: history, statement and proof. Mechanism and Machine Theory 28 (1993) 165-177
14. Yang A., and Freudenstein F. Application of dual-number quaternion algebra to the analysis of spatial mechanisms. Journal of Applied Mechanics 31 (1964) 300-307
15. J. Angeles, The degree of freedom of parallel robots: a group-theoretic approach, in: IEEE International Conference on Robotics and Automation, Barcelona, 2005, pp. 1017-1024.
16. Freudenstein F. Approximate synthesis of four-bar linkages. Transactions of the ASME 77 (1955) 853-861
17. Denavit J., and Hartenberg R. Kinematic Synthesis of Linkage (1964), McGraw Hill Book Company, New York
18. Kerle H., and Pittschellis R. Einführung in die Getriebelehre. second ed. (2002), B.G. Teubner GmbH, Stuttgart-Leipzig-Wiesbaden
19. VDI, Richtlinie VDI2729, Modulare kinematische Analyse ebener Gelenkgetriebe mit Dreh- und Schubgelenken, VDI, Düsseldorf, 1995.
20. Forsythe G.E. Pitfalls in computation, or why a math book isn't enough. American Mathematical Monthly 77 (1970) 931-956
21. Fischer I. Dual Number Methods in Kinematics, Statics and Dynamics (1999), CRC Press, New York
22. Angeles J. Application of dual algebra to kinematic analysis. In: Angeles J., and Zakhariev E. (Eds). Computational Methods in Mechanical Systems. NATO ASI Series (1998), Springer-Verlag, New York
23. F. Bidault, C.P. Teng, J. Angeles, Structural optimization of a spherical parallel manipulator using a two-level approach, in: Proceedings of ASME 2001 Design Engineering Technical Conferences, DAC-21030, 2001.