Analytical synthesis of function generating spherical four-bar mechanism for the five precision points

Mechanism and Machine Theory

Volumn 40, Issue 7, 2005, Pages 863-878

  Alizade, Rasim I ^a   Kilit, Özgür ^b  

^a IZMIR INSTITUTE OF TECHNOLOGY   (Turkey)

^b EGE UNIVERSITY   (Turkey)

Author keywords

Non linear equations; Precision point; Spherical linkage mechanism; Superposition; Synthesis

Indexed keywords

APPROXIMATION THEORY; LINEAR EQUATIONS; NONLINEAR EQUATIONS; PARAMETER ESTIMATION; POLYNOMIALS; PROBLEM SOLVING;

PRECISION POINT; SPHERICAL LINKAGE MECHANISM; SPHERICAL LINKAGES; SUPERPOSITION;

FUNCTIONS;

EID: 18844364770     PISSN: 0094114X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechmachtheory.2004.12.010     Document Type: Article

References (28)

1. R.I. Alizade Synthesis of four-bar spherical mechanism on five parameters J. Mech. Eng., Russian Academy of Science (ANR) 6 1994 (in Russian)
2. H. Bruyninckx, H. Thielemans, and J.D. Schutter Efficient kinematics of a spherical 4R wrist by means of an equivalent 3R wrist, IFToMM Mech. Mach. Theory 33 6 1998 649 659
3. A. Castellet, and F. Thomas Characterization of the self-motion set of the orthogonal spherical mechanism Mech. Mach. Theory 34 1999 59 88
4. J.J. Cervantes-Sanchez, and H.I. Medellin-Castillo A robust classification scheme for spherical 4R linkages Mech. Mach. Theory 37 2002 1145 1163
5. D. Chablat, and J. Angeles The computation of all 4R serial spherical wrists with an isotropic architecture ASME J. Mech. Design 125 2003 275 280
6. C.H. Chiang Kinematics of spherical mechanisms 1988 Cambridge University Press Cambridge
7. V.V. Dobrovolskii Theory of the spherical mechanisms Machgiz 1947 231 (in Russian)
8. H.J. Dowler, J. Duffy, and D. Tesar A generalized study of four and five multiply separated positions in spherical kinematics Mech. Mach. Theory. 13 1978 409 436
9. K. Farhang, A. Midha, and A.K. Bajaj Synthesis of harmonic motion generation linkages Part-I, Function generation, ASME J. Mech. Transm. Automat. Design 110 1 1988 16 21
10. K. Farhang, and Y.S. Zargar Design of spherical 4R mechanisms: function generation for the entire motion cycle ASME, J. Mech. Design 121 1999 521 528
11. F. Freudenstein On the determination of the type of spherical four-link mechanisms, Contemporary problems in the TMM AS of the USSR 1965 193 196
12. K.C. Gupta Rotatability considerations for spherical four-bar linkages with applications to robot wrist design J. Mech. Transm. Automat. Design 1986 387 391
13. K.C. Gupta, and A.S. Beloiu Branch and circuit defect elimination in spherical four-bar linkages Mech. Mach. Theory. 33 5 1998 491 504
14. B. Hong, A. Erdman, K. Ham, Design of adjustable spherical four-bar linkages as continuous passive motion devices for anatomic joints rehabilitation, 96-DETC/MECH-1220, 1996
15. K. Kazerounian, and R. Solecki Mobility analysis of general bi-modal four-bar linkages based on their transmission angle Mech. Mach. Theory 28 3 1993 437 445
16. P. Larochelle, J.R. Dooley, A. Murray, J.M. McCarthy, SPHINX-Software for synthesizing spherical 4R mechanisms, Proceedings of the 1993 NSF Design and Manufacturing Systems Conference, University of North Carolina at Charlotte, vol. 1, 1993, pp. 607-611
17. J.M. McCarthy Geometric design of linkages 2000 Springer Berlin
18. J.M. McCarthy, and R.M. Bodduluri Avoiding singular configurations in finite position synthesis of spherical 4R linkages Mech. Mach. Theory 35 2000 457 462
19. A.V. Mohan Rao, G.N. Sandor, D. Kohli, and A.H. Soni Closed form synthesis of spatial function generating mechanism for the maximum number of precision points J. Eng. Industry 95 1973 725 736
20. A.P. Murray, J.M. McCarthy, A linkage map for spherical four position synthesis, ASME Tech. Conf. Boston. MA, 1995, pp. 833-844
21. D.A. Ruth, and J.M. McCarthy The design of spherical 4R linkages for four specified orientations Mech. Mach. Theory 34 1999 677 692
22. A.H. Soni Unique description of all spherical four-bar linkages Discussion, ASME J. Eng. Industry 6 3 1970 563 566
23. A.H. Soni, and L. Harrisberger The design of spherical drag-link mechanism ASME, J. Eng. Industry 89 1967 171 181
24. C.H. Suh, and C.W. Redcliffe Kinematics and mechanisms design 1978 Wiley NY
25. D.S. Takhvelidzeh, and N.S. Davitashvili Theoretical basis design of plane and spherical linkage mechanisms Tbilisi. 1975 206 (in Russian)
26. D.M. Tse, and P.M. Larochelle Approximating spatial locations with spherical orientations for spherical mechanism design ASME, J. Mech. Design 122 2000 457 463
27. E.W. Weisstein, Cubic Equation From MathWorld-A Wolfram Web Resource. Available from: http://mathworld.wolfram.com/CubicEquation.html
28. J.R. Zimmerman Four-precision synthesis of the spherical four-bar function generator Mech. Mach. Theory 2 1967 133 139