Skip to main content
SpringerLink
Log in

Reliability-based multidisciplinary design optimization using incremental shifting vector strategy and its application in electronic product design

  • Research Paper
  • Published:
Acta Mechanica Sinica Aims and scope Submit manuscript

Abstract

Use of multidisciplinary analysis in reliability-based design optimization (RBDO) results in the emergence of the important method of reliability-based multidisciplinary design optimization (RBMDO). To enhance the efficiency and convergence of the overall solution process, a decoupling algorithm for RBMDO is proposed herein. Firstly, to decouple the multidisciplinary analysis using the individual disciplinary feasible (IDF) approach, the RBMDO is converted into a conventional form of RBDO. Secondly, the incremental shifting vector (ISV) strategy is adopted to decouple the nested optimization of RBDO into a sequential iteration process composed of design optimization and reliability analysis, thereby improving the efficiency significantly. Finally, the proposed RBMDO method is applied to the design of two actual electronic products: an aerial camera and a car pad. For these two applications, two RBMDO models are created, each containing several finite element models (FEMs) and relatively strong coupling between the involved disciplines. The computational results demonstrate the effectiveness of the proposed method.

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

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16

Similar content being viewed by others

References

  1. Jaroslaw, S., Raphael, T.H.: Multidisciplinary aerospace design optimization: survey of recent developments. Struct. Multidiscip. Optim. 14, 1–23 (1997)

    Article  Google Scholar 

  2. Duddeck, F.: Multidisciplinary optimization of car bodies. Struct. Multidiscip. Optim. 35, 375–389 (2008)

    Article  Google Scholar 

  3. Li, F., Li, G., Sun, G., et al.: Multidisciplinary optimization for multi-objective uncertainty design of thin walled beams. Comput. Mater. Contin. 19, 37–56 (2010)

    Google Scholar 

  4. Ma, M.: Multidisciplinary design optimization for complex product review. Chin. J. Mech. Eng. 44, 15–26 (2008)

    Article  Google Scholar 

  5. Balling, R.J., Sobieszczanski-Sobieski, J.: An algorithm for solving the system-level problem in multilevel optimization. Struct. Optim 9, 168–177 (1995)

    Article  Google Scholar 

  6. Viana, F.A.C., Simpson, T.W., Balabanov, V., et al.: Special section on multidisciplinary design optimization: metamodeling in multidisciplinary design optimization: how far have we really come? AIAA J. 52, 670–690 (2014)

    Article  Google Scholar 

  7. Tedford, N.P., Martins, J.R.R.A.: Benchmarking multidisciplinary design optimization algorithms. Optim. Eng. 11, 159–183 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  8. Lewis, R.M., Shubin, G.R., Cramer, E.J., et al.: Problem formulation for multidisciplinary optimization. SIAM J. Optim. 4, 754–776 (1993)

    MathSciNet  MATH  Google Scholar 

  9. Garza, A.D.L., Darmofal, D.: An all-at-once approach for multidisciplinary design optimization. In: Proceedings of 16th AIAA Applied Aerodynamics Conference, Albuquerque, June 15–18 (1998)

  10. Allison, J., Kokkolaras, M., Papalambros, P.: On the impact of coupling strength on complex system optimization for single-level formulations. In: Proceedings of ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Long Beach, September 24–28 (2005)

  11. Wujek, B.A., Renaud, J.E., Batill, S.M., et al.: Concurrent subspace optimization using design variable sharing in a distributed computing environment. Concurr. Eng. Res. A 4, 361–377 (1996)

    Article  Google Scholar 

  12. Alexandrov, N.M., Lewis, R.M.: Analytical and computational aspects of collaborative optimization for multidisciplinary design[J]. AIAA J.40, 301–309 (2002)

  13. Sobieszczanskisobieski, J., Altus, T.D., Phillips, M., et al.: Bilevel integrated system synthesis for concurrent and distributed processing. AIAA J. 41, 1996–2003 (2012)

    Article  Google Scholar 

  14. Batill, S., Renaud, J., Gu, X.: Modeling and simulation uncertainty in multidisciplinary design optimization. In: Proceedings of 8th Symposium on Multidisciplinary Analysis and Optimization, Multidisciplinary Analysis Optimization Conferences, Long Beach, September 6–8 (2000)

  15. Enevoldsen, I., Sørensen, J.D.: Reliability-based optimization in structural engineering. Struct. Saf. 15, 169–196 (1994)

    Article  Google Scholar 

  16. Wu, Y.-T., Wang, W.: Efficient probabilistic design by converting reliability constraints to approximately equivalent deterministic constraints. J. Integr. Des. Process Sci. 2, 13–21 (1998)

  17. Li, G., Cheng, G.: Optimal decision for the target value of performance-based structural system reliability. Struct. Multidiscip. Optim. 22, 261–267 (2001)

    Article  Google Scholar 

  18. Youn, B.D., Choi, K.K.: A new response surface methodology for reliability-based design optimization. Comput. Struct. 82, 241–256 (2004)

    Article  Google Scholar 

  19. Du, X., Chen, W.: Sequential optimization and reliability assessment method for efficient probabilistic design. J. Mech. Design 126, 871–880 (2004)

    Google Scholar 

  20. Liang, J., Mourelatos, Z.P., Tu, J.: A single-loop method for reliability-based design optimization. Int. J. Prod. Dev. 5, 76–92 (2004)

    Article  Google Scholar 

  21. Cheng, G., Xu, L., Jiang, L.: A sequential approximate programming strategy for reliability-based structural optimization. Comput. Struct. 84, 1353–1367 (2006)

    Article  Google Scholar 

  22. Shan, S., wang, G.: Reliable space pursuing for reliability-based design optimization with black-box performance functions. Chin. J. Mech. Eng. 22, 27–35 (2009)

    Article  Google Scholar 

  23. Sues, R., Cesare, M.: An innovative framework for reliability-based MDO. In: Proceedings of 41st Structures, Structural Dynamics, and Materials Conference and Exhibit, Atlanta, April 3–6 (2000)

  24. Padmanabhan, D., Tappeta, R., Batill, S.: Monte Carlo simulation in reliability based optimization applied to multidisciplinary system design. In: Proceedings of 44th Structures, Structural Dynamics, and Materials Conference, Norfolk, April 7–10 (2003)

  25. Agarwal, H., Renaud, J.: Reliability based design optimization using response surfaces in application to multidisciplinary systems. Eng. Optim. 36, 291–311 (2004)

    Article  Google Scholar 

  26. Ahn, J., Kwon, J.H.: An efficient strategy for reliability-based multidisciplinary design optimization using bliss. Struct. Multidiscip. Optim. 31, 363–372 (2006)

    Article  Google Scholar 

  27. Du, X., Guo, J., Beeram, H.: Sequential optimization and reliability assessment for multidisciplinary systems design. Struct. Multidiscip. Optim. 35, 117–130 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  28. Meng, D., Li, Y.F., Huang, H.Z., et al.: Reliability-based multidisciplinary design optimization using subset simulation analysis and its application in the hydraulic transmission mechanism design. J. Mech. Design 137, 051402 (2014)

    Article  Google Scholar 

  29. Lin, P.T., Gea, H.C.: Reliability-based multidisciplinary design optimization using probabilistic gradient-based transformation method. J. Mech. Design 135, 021001 (2013)

    Google Scholar 

  30. Xiao, Q., Sues, R., Rhodes, G.: Multi-disciplinary wing shape optimization with uncertain parameters. In: Proceedings of 40th Structures, Structural Dynamics, and Materials Conference and Exhibit, St. Louis, April 12–15 (1999)

  31. Nikbay, M., Kuru, M.N.: Reliability based multidisciplinary optimization of aeroelastic systems with structural and aerodynamic uncertainties. J. Aircr. 50, 708–715 (2013)

    Article  Google Scholar 

  32. Huang, Z.L., Jiang, C., Zhou, Y.S., et al.: An incremental shifting vector approach for reliability-based design optimization. Struct. Multidiscip. Optim. 53, 523–543 (2016)

    Article  MathSciNet  Google Scholar 

  33. Yi, S.I., Shin, J.K., Kim, Y.I., et al.: Comparison of MDO methods with mathematical examples. Struct. Multidiscip. Optim. 35, 391–402 (2008)

    Article  Google Scholar 

  34. Hasofer, A.M.: Exact and invariant second-moment code format. J. Eng. Mech. 100, 111–121 (1974)

    Google Scholar 

  35. Rackwitz, R., Flessler, B.: Structural reliability under combined random load sequences. Comput. Struct. 9, 489–494 (1978)

  36. Madsen, H.O., Krenk, S., Lind, N.C.: Methods of Structural Safety. Prentice-Hall, Englewood cliffs (1985)

    Google Scholar 

  37. Burden, R.L., Faires, J.D.: Numerical Analysis, 4th edn. PWS Publishing Co., Boston (1988)

    MATH  Google Scholar 

  38. Kearsley, S.K.: On the orthogonal transformation used for structural comparisons. Acta Crystallogr. A 45, 208–210 (1989)

  39. Brewer, T.: Digital airborne camera: introduction & technology. Soil Use Manage. 26, 379–379 (2010)

    Article  Google Scholar 

  40. Fletcher, R.: Practical Methods of Optimization, 2nd edn. Wiley-Interscience, New York (1987)

  41. Abelein, U., Lochner, H., Hahn, D., et al.: Complexity, quality and robustness–the challenges of tomorrow’s automotive electronics. In: Proceedings of Design, Automation & Test in Europe Conference & Exhibition, Dresden, March 12–16 (2012)

Download references

Acknowledgements

The project was supported by the Major Program of the National Natural Science Foundation of China (Grant 51490662), the Funds for Distinguished Young Scientists of Hunan Province (Grant 14JJ1016), the State Key Program of the National Science Foundation of China (11232004), and the Heavy-duty Tractor Intelligent Manufacturing Technology Research and System Development (Grant 2016YFD0701105).

Author information

Authors and Affiliations

  1. School of Mechanical and Electrical Engineering, Hunan City University, Yiyang, 413002, China

    Z. L. Huang

  2. State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University, Changsha, 410082, China

    Z. L. Huang, Y. S. Zhou, C. Jiang, J. Zheng & X. Han

Authors
  1. Z. L. Huang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Y. S. Zhou
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. C. Jiang
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. J. Zheng
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. X. Han
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to C. Jiang.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Huang, Z.L., Zhou, Y.S., Jiang, C. et al. Reliability-based multidisciplinary design optimization using incremental shifting vector strategy and its application in electronic product design. Acta Mech. Sin. 34, 285–302 (2018). https://doi.org/10.1007/s10409-017-0702-7

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10409-017-0702-7

Keywords

Search

Navigation