Skip to main content
SpringerLink
Log in

A probabilistic design system for reliability-based design optimization

  • Research Paper
  • Published:
Structural and Multidisciplinary Optimization Aims and scope Submit manuscript

Abstract

A probabilistic design system for reliability-based design optimization problems called ADAPRES_NET is presented in this paper. ADAPRES_NET includes two main features, one of which is the use of an adaptive response surface method by which the probabilistic constraints are replaced with response functions, the other a distributed computing environment by which the computational applications are distributed on a network. The proposed system is presented with an example in which the well-known mechanical part, the connecting rod, is selected. Finally, the evaluation of the probabilistic constraints is also compared with that of the classical reliability methods, and the results indicate the benefit of using ADAPRES_NET.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. AEMDesign 2000: http://gachinese.com/aemdesign/FSQPframe.htm

  2. ANSYS 2000: ANSYS Online Manual for Release 5.5. http://sc.tamu.edu/softwareDocs/ansys/realtoc.html

  3. Barthelemy, J.F.M.; Haftka, R.T. 1993: Approximation concepts for optimum structural design – A review. Struct Optim5(3), 129–144

    Google Scholar 

  4. Belegundu, A.D. 1988: Probabilistic optimal design using second moment criteria. J Mech Transm Automat Des ASME110, 324–329

    Google Scholar 

  5. Boresi, A.P.; Schmidt, R.J.; Sidebottom, O.M. 1993: Advanced mechanics of materials. New York: Wiley

  6. Box, G.E.P.; Wilson, K.B. 1951: On the experimental attainment of optimum conditions. J Roy Stat Soc , Series B, 1–45

  7. Breitung, K. 1983: Asymptotic approximations for multinormal integrals. J Eng Mech110(3), 357–366

    Google Scholar 

  8. Bucher, C.G. 1990: A fast and efficient response surface approach for structural reliability problems. Struct Safety7(1), 57–66

    Google Scholar 

  9. COMREL 2000: http://www.strurel.de

  10. Enevoldsen, I.; Sorensen, J.D. 1994: Reliability-based optimization in structural engineering. Struct Safety15, 169–196

    Google Scholar 

  11. Giunta, A.A. 1997: Aircraft multidisciplinary optimization using design of experiments theory and response surface modeling methods. Ph.D. thesis, Virginia Polytechnic Institute & State University, Blacksburg, Virginia

  12. Hasofer, M.; Lind, N.C. 1974: Exact and invariant second-moment code format. J Eng Mech Divisions ASCE 100(EM1), 111–121

    Google Scholar 

  13. Huang, X.; Dudley, J.; Haftka, R.T.; Grossman, B.; Mason, W.H. 1996: Structural weight estimation for multidisciplinary optimization of a high-speed civil transport. J Aircr33(3), 608–616

    Google Scholar 

  14. Kim, S.; Na, S. 1997: Response surface method using vector projected sampling points. Struct Safety19(1), 3–19

    Google Scholar 

  15. Kleinbaum, D.G.; Kuper, L.L.; Muller, K.E. 1987: Applied regression analysis and other multivariable methods. Boston: PWS-KENT

  16. Kreyszig, E. 1993: Advanced engineering mathematics, 7th edn. Singapore: Wiley

  17. Liu, B.; Haftka, R.T.; Akgün, M. 2000: Two-level composite wing structural optimization using response surfaces. Struct Multidisc Optim20, 87–96

    Google Scholar 

  18. Lang, O.R. 1979: Running Gear for High-speed Internal-Combustion Engines. Design Handbooks 22

  19. Meng, X.; McMahon, C.A. 1998: Use of influence surfaces in a network approach to probabilistic analysis. Comput Model Simul Eng3(1), 12–19

    Google Scholar 

  20. Myers, R.H.; Montgomery, D.C. 1995: Response surfacemethodology: process and product optimization using designed experiments. New York: Wiley

  21. Nikoladis, E.; Burdisso, R. 1988: Reliability based optimization: a safety index approach. Comput Struct28(6), 781–788

    Google Scholar 

  22. Peterson, J.L. 1981: Petri net theory and the modeling of systems. New Jersey: Prentice Hall

  23. Press, W.H.; Teukolsky, S.A.; Vetterling, W.T.; Flannery, B.P. 1992: Numerical recipes in C. Second Edition. London: Cambridge Press

  24. Rabb, R. 1996: Fatigue Failure of a Connecting Rod. Eng Fail Anal2(1), 13–28

    Google Scholar 

  25. Rajashekhar, M.R.; Ellingwood, B.R. 1993: A new look at the response surface approach for reliability analysis. Struct Safety12, 205–220

    Google Scholar 

  26. Reddy, M.V.; Grandhi, R.V.; Hopkins, D.A. 1994: Reliability based structural optimization: a simplified safety index approach. Comput Struct 53(6), 1407–418

    Google Scholar 

  27. Rosenblatt, M. 1969: Remarks on multivariate transformation. Ann Math Stat23(3), 470–472

    Google Scholar 

  28. Ryan, T. 1997: Modern regression methods. New York: Wiley

  29. Schmit, L.A.; Farshi, B. 1974: Some approximation concepts for structural synthesis. AIAA J, 12(5), 692–699

    Google Scholar 

  30. Stevens, W.R. 1990: UNIX network programming. New Jersey: Prentice-Hall

  31. Tsai, C.; Chang, K.; Wang, J. 1995: Integration infrastructure for a simulation-based design environment. The 15th Annual international computers in engineering, ASME, September 17–20, Boston, Massachusetts

  32. Yi, C.; Mingwu, W.; Ling, T. 1999: Fatigue strength reliability analysis of diesel connecting rod based on stochastic finite element method. J Eng Gas Turbines Power 121(4), 741–745

    Google Scholar 

  33. Wang, L.P.; Grandhi, R.V. 1994: Efficient safety index calculation for structural reliability analysis. AIAA J32(10), 2090–2098

    Google Scholar 

  34. Wang, L.P.; Grandhi, R.V.; Hopkins, D.A. 1995: Structural reliability optimization using an efficient safety index calculation procedure. Int J Numer Methods Eng38(10), 1721–1738

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dept. of Mechanical Eng., Ataturk University, Erzurum, 25240, Turkey

    I. Kaymaz

  2. Dept. of Mechanical Eng., University of Bath, Claverton Down, Bath, BA2 7AY, UK

    C.A. McMahon

Authors
  1. I. Kaymaz
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. C.A. McMahon
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to I. Kaymaz.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kaymaz, I., McMahon, C. A probabilistic design system for reliability-based design optimization. Struct Multidisc Optim 28, 416–426 (2004). https://doi.org/10.1007/s00158-004-0444-6

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00158-004-0444-6

Keywords

Search

Navigation