Computer-aided Design of Assemblies with Spatial Tolerances on the Basis of Interval Analysis



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Abstract

zin_ina@mail.ru
Present CAD systems offer insufficient support of a mixed top-down and bottom-up design mode and hardly offer any suitable functionality for 3D tolerancing. In addition, the state-of-the-art 3D CAD systems engineering fail to deal with uncertainties since only fixed parameter values are allowed for their modeling operations. So support on conceptual design phase is not provided. Based on considerations discussed in the preceding we present a CAD system architecture intended to show how the process of computer-aided design can be improved in the sense of providing 3D assembly tolerancing based on interval analysis.

About the authors

O V Yatsenko

Irkutsk State Technical University

Email: zin_ina@mail.ru
к.т.н., доц; Иркутский государственный технический университет; Irkutsk State Technical University

References

  1. Moor R.E. Interval analysis, Prentice Hall, Englewood Cliffs, NJ, 1966, 328 p.
  2. Алефельд Г., Херцбергер Ю. Введение в интервальные вычисления.- М.: Мир, 1987. -356c.
  3. Шокин Ю.А. Интервальный анализ. - Новосибирск: Наука, 1981. - 112 с.
  4. Калмыков С.А., Шокин Ю.И., Юлдашев З.Х. Методы интервального анализа. - Новосибирск: Наука, 1986. - 204 с.
  5. Kreinovich V. Data processing beyond traditional Statistics: Applications of interval Computations. A brief Introduction. Proceeding of APIC-95, pp.130-138.
  6. Mudur S.P., Kopakar P.A. Interval methods for processing geometric objects. IEEE Computer Graphics and Application, 4(2): 7-17, February 1984.
  7. Sederberg T.W., Farouki R.T.: Approximation by Interval Bezier Curves, IEEE Computer
  8. Graphics and Applications 12 (5) (1992), pp. 87-95.
  9. Lin H., Liu L., and Wang G. Boundary Evaluation for Interval Bezier Curve, Computer-Aided Design 34 (9) (2002), pp. 637-646.
  10. Kearfott P.B., Xing Z. Rigorous computation of surface patch intersection curves, 1993, Dpt. of Mathematics Report, University of Southwestern Louisiana, 14 p.
  11. Schramm P. Intersection problems of parametric surfaces in CAGD. Computing, 53: 355-364, 1994.
  12. Sederberg T.W., Parry S.R. Comparison of three curve intersection algorithms. Computer-Aided Design, 18(1):58-63, 1986.
  13. Segal M. "Using Tolerances to Guarantee Valid Polyhedral Modeling Results", Computer Graphics, 24(4), August 1990, pp.105-114.
  14. Rao S.S. and Cao L.: Optimum Design of Mechanical Systems Involving Interval Parameters, ASME Journal of Mechanical Design 124 (2002), pp. 465-472.
  15. Rao S.S. and Berke L., "Analysis of uncertain structural systems using interval analysis", AIAA Journal, Vol.35, No.4, pp.727-735.
  16. Woo W., Rao S.S. Interval Approach for the Modeling of Tolerances and Clearances in Mechanism Analysis. Journal of Mechanical Design - July 2004 -Volume 126, Issue 4, pp. 581-592.
  17. Rao S., Wu W. Optimum tolerance allocation in mechanical assemblies using an interval method. Engineering Optimisation Volume 37, Number 3, April 2005, pp. 237-257(21).
  18. Mata N. A constraint solving-based approach to analyze 2D geometric problems with interval parometers. Proceedings of the sixth ACM symposium on Solid modeling and applications, Ann Arbor, Michigan, United States, 11 - 17pp., 2001.
  19. Desrochers A., Ghie W., Laperriere L. Application of a Unified Jacobian Torsor Model for Tolerance Analysis.Journal of Computing and Information Science in Engineering -March 2003 - Volume 3, Issue 1, pp. 2-14.
  20. Wang Y. Semantic tolerancing with generalized intervals, Computer-Aided Design & Applications, 4(1-4), 2007, 257-266.
  21. Журавлев Д.А., Яценко О.В. Метод дифференциальных матриц для описания отклонений деталей. // Повышение эксплуатационных свойств деталей машин технологическими методами: Сборник научных трудов. - Иркутск: Издательство ИрГТУ, 2000. -с. 82-86.
  22. Журавлев Д.А., Яценко О.В. Интервальный анализ собираемости деталей.// Повышение эксплуатационных свойств деталей машин технологическими методами: Сборник научных трудов. - Иркутск: Издательство ИрГТУ, 2000. -с. 60-68.
  23. Hyvonen E., De Pascale S. A new basis for spreadsheet computing: Interval Solver for Microsoft Excel. In Proceedings of 11th Innovative Applications of Artificial Intelligence Conference, AAAI Press, Menlo Park, California, 1999, pp.102-112.
  24. Журавлев Д.А., Яценко О.В. Методы моделирования на основе переменных. //Управление технологическими процессами машиностроительного производства: Сборник научных трудов. - Иркутск: Издательство ИрГТУ, 1998. - с. 77-83.

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