Analysis of kinematic systems: A generalized approach

Precision Engineering

Volumn 19, Issue 1, 1996, Pages 11-18

  Schmiechen, Philipp ^a   Slocum, Alexander ^b  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Friction; Hertz deflection; Kinematic design; Precision; Repeatability

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); EIGENVALUES AND EIGENFUNCTIONS; ERRORS; ESTIMATION; FRICTION; GEOMETRY; LOADS (FORCES); MATHEMATICAL MODELS; MATRIX ALGEBRA; PRECISION ENGINEERING; SYSTEM STABILITY; SYSTEMS ANALYSIS;

HERTZ DEFLECTION; KINEMATIC DESIGN; REPEATABILITY;

KINEMATICS;

EID: 0030194794     PISSN: 01416359     EISSN: None     Source Type: Journal    
DOI: 10.1016/0141-6359(96)00001-3     Document Type: Article

References (19)

1. Braddick, H. J. J. Mechanical Design of Laboratory Apparatus, London: Chapman & Hall, 1960, pp. 11-12
2. Slocum, A. Precision Machine Design. Englewood Cliffs, NJ: Prentice Hall, 1991, pp. 401-408
3. Schmiechen, P. "Design of precision kinematic systems," Master's thesis, Massachusetts Institute of Technology, Cambridge, MA, 1992
4. Bottema, O. and Roth, B. Theoretical Kinematics. Amsterdam: North-Holland, 1979
5. Maxwell, J. C. "General considerations concerning scientific apparatus," In The Scientific Papers of J. C. Maxwell, Vol. II. London: Cambridge University Press, 1891, pp. 507-508
6. Bausch, J. J. and Youcef-Toumi, K. "Kinematic methods for automated fixture reconfiguration planning," Proceedings of the IEEE conference on robotics and automation, 1991, pp. 1396-1491
7. Donmez, A. and Slocum, A. "Kinematic couplings for precision fixturing, Part I & II," Prec Eng 1988, 10, 85-91; 1992, 14, 115-121
8. Donmez, A. and Slocum, A. "Kinematic couplings for precision fixturing, Part I & II," Prec Eng 1988, 10, 85-91; 1992, 14, 115-121
9. Sherrington, I. and Smith, E. H. "Design and performance assessment of a Kelvin clamp," Prec Eng 1993, 15
10. Slocum, A. "Design of a three-groove kinematic coupling," Prec Eng 1992, 14, 67-76
11. Loh, N. H., Tam, S. C. and Miyazawa S. "Ball burnishing of tool steel," Prec Eng 1993, 15, 100-105
12. Scagnetti, P. A. et al. "Simulation of micro-indentation using molecular dynamics modeling," Proceedings of the 7th annual meeting of the ASPE, 1992, pp. 33-36
13. Press, W. H., Flannery, B. P., Teukolsky, S. A., and Vetterling, W. T. Numerical Recipes (FORTRAN Version). New York, NY: Cambridge University Press, 1989
14. Hertz, H. "Über die Berührung fester elastischer Körper," J für reine und angewandte Mathematik, 1880, 92, 156-171
15. Johnson, K. L. "One Hundred Years of Hertz Contact," Proc IMechE 1982, 196, 363-378
16. Abbé, E. "Meßapparate für Physiker," Zeitschrift für Instrumentenkunde, 1891, 10
17. Smith, J. O. and Liu, C. K. "Stresses due to the tangential and normal loads on an elastic solid with application to some contact stress problems," J Appl Mech 1953, 20, 157-166
18. Deresiewicz, H. "Oblique contact of nonspherical bodies," J Appl Mech 1957, 24, 623-634
19. Mathcad™ 5.0 User's Guide Windows Version, Cambridge MA: MathSoft, 1994