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Reliability-based robust design optimization of vehicle components, Part I: Theory

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Abstract

The reliability-based design optimization, the reliability sensitivity analysis and robust design method are employed to present a practical and effective approach for reliability-based robust design optimization of vehicle components. A procedure for reliability-based robust design optimization of vehicle components is proposed. Application of the method is illustrated by reliability-based robust design optimization of axle and spring. Numerical results have shown that the proposed method can be trusted to perform reliability-based robust design optimization of vehicle components.

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References

  1. Ang A H S, Tang W H. Probability Concepts in Engineering Planning and Design, Volume I: Basic Principles. New York: Wiley, 1975

  2. Kapur K C, Lamberson L R. Reliability in Engineering Design. New York: John Wiley & Sons, 1977

    Google Scholar 

  3. Dhillon B S, Singh C. Engineering Reliability. New York: John Wiley & Sons, 1981

    MATH  Google Scholar 

  4. Henley E J, Kumamoto H. Reliability Engineering and Risk Assessment. Englewood Cliffs: Prentice-Hall Inc., 1981

    Google Scholar 

  5. Billinton B, Allan R N. Reliability Evaluation of Engineering Systems. London: Pitman Books Limited, 1983

    Book  MATH  Google Scholar 

  6. O’Connor P D T. Practical Reliability Engineering. New York: John Wiley & Sons, 1984

    MATH  Google Scholar 

  7. Haldar A, Mahadevan S. Reliability Assessment Using Stochastic Finite Element Analysis. New York: John Wiley & Sons, 2000

    Google Scholar 

  8. Ghanem R, Spanos P D. Stochastic Finite Elements: A Spectral Approach. New York: Dover Publications, 2003

    Google Scholar 

  9. Frangopol D M. Life-cycle Performance of Deteriorating Structures: Assessment, Design, and Management. Virginia: ASCE Publications, 2004

    Google Scholar 

  10. Ellingwood B, Kanda J. Structural Safety and Its Quality Assurance. Virginia: ASCE Publications, 2005

    Google Scholar 

  11. Ang A H S, Tang W H. Probability Concepts in Engineering Planning and Design. New York: John Wiley & Sons, 2006

    Google Scholar 

  12. Madsen H O, Krenk S, Lind N C. Methods of Structural Safety. New York: Dover Publications, 2006

    Google Scholar 

  13. Nowak A S, Collins K R. Reliability of Structures. Florida: CRC Press, 2012

    Google Scholar 

  14. Grigoriu M. Stochastic Systems: Uncertainty Quantification and Propagation. London: Springer, 2012

    Book  Google Scholar 

  15. Zio E. The Monte Carlo Simulation Method for System Reliability and Risk Analysis. London: Springer, 2013

    Book  Google Scholar 

  16. Zhang Y, Liu Q. Reliability-based design of automobile components. Proceedings of the Institution of Mechanical Engineers. Part D, Journal of Automobile Engineering, 2002, 216(6): 455–471

    Article  Google Scholar 

  17. Zhang Y, Liu Q, Wen B. Practical reliability-based design of gear pairs. Mechanism and Machine Theory, 2003, 38(12): 1363–1370

    Article  MATH  Google Scholar 

  18. Zhang Y, Wen B, Liu Q. First passage of uncertain single degree-offreedom nonlinear oscillators. Computer Methods in Applied Mechanics and Engineering, 1998, 165(1–4): 223–231

    Article  MATH  Google Scholar 

  19. Zhang Y, Wen B, Leung A Y T. Reliability analysis for rotor rubbing. Journal of Vibration and Acoustics, 2001, 124 (1): 58–62

    Article  Google Scholar 

  20. Zhang Y, Liu Q, Wen B. Quasi-failure analysis on resonant demolition of random structural systems. AIAA Journal, 2002, 40 (3): 585–586

    Article  Google Scholar 

  21. Zhang Y, Wang S, Liu Q, et al. Reliability analysis of multi-degreeof- freedom nonlinear random structure vibration systems with correlation failure modes. Science in China Series E: Technological Sciences, 2003, 46(5): 498–508

    Article  MATH  Google Scholar 

  22. Zhang Y, Zhang L, Zheng J, et al. Neural network for structural stress concentration factors in reliability-based optimization. Proceedings of the Institution of Mechanical Engineers. Part G, Journal of Aerospace Engineering, 2006, 220(3): 217–224

    Article  Google Scholar 

  23. Haug E J, Komkov V, Choi K K. Design Sensitivity Analysis of Structural Systems. Orlando: Academic Press, 1985

    Google Scholar 

  24. Haftka R T, Kamat M P. Elements of Structural Optimization. The Hague: Martinus Nijhoff, 1985

    Google Scholar 

  25. Adelman H M, Haftka R T. Sensitivity analysis of discrete structural systems. AIAA Journal, 1986, 24(5): 823–832

    Article  Google Scholar 

  26. Zhang Y, Wen B. Reliability sensitivity of uncertain single degreeof-freedom nonlinear vibrations. In: Proceedings of Asia-Pacific Vibration Conference 2001, Volume 1. Shenyang: Northeastern University Press, 2001, 179–183

    Google Scholar 

  27. Zhang Y, Wen B, Liu Q. Reliability sensitivity for rotor—Stator systems with rubbing. Journal of Sound and Vibration, 2003, 259 (5): 1095–1107

    Article  Google Scholar 

  28. Zhang Y, He X, Liu Q, et al. Reliability sensitivity of automobile components with arbitrary distribution parameters. Proceedings of the Institution of Mechanical Engineers. Part D, Journal of Automobile Engineering, 2005, 219(2): 165–182

    Article  Google Scholar 

  29. Zhang Y, Liu Q, Wen B. Reliability sensitivity of multi-degree-offreedom uncertain nonlinear systems with independence failure modes. Journal of Mechanical Science and Technology, 2007, 21(6): 908–912

    Article  Google Scholar 

  30. Zhang Y, Yang Z. Reliability-based sensitivity analysis of vehicle components with non-normal distribution parameters. International Journal of Automotive Technology, 2009, 10(2): 181–194

    Article  Google Scholar 

  31. Belegundu A D, Zhang S. Robustness of design through minimum sensitivity. Journal of Mechanical Design, 1992, 114(2): 213–217

    Article  Google Scholar 

  32. Parkinson A. Robust mechanical design using engineering models. Journal of Mechanical Design, 1995, 117(B): 48–54

    Article  Google Scholar 

  33. Chen W, Allen J K, Tsui K L, et al. A procedure for robust design. Journal of Mechanical Design, 1996, 118(4): 478–485

    Article  Google Scholar 

  34. Yang K, Yang G. Robust reliability design using environmental stress testing. Quality and Reliability Engineering International, 1998, 14(6): 409–416

    Article  Google Scholar 

  35. Tu J, Choi K K, Park Y H. Design potential method for robust system parameter design. AIAA Journal, 2001, 39(4): 667–677

    Article  Google Scholar 

  36. Liaw L D, DeVries R I. Reliability-based optimization for robust design. International Journal of Vehicle Design, 2001, 25(Special Issue): 64–77

    Article  Google Scholar 

  37. Lee K H, Park G J. Robust optimization considering tolerances of design variables. Computers & Structures, 2001, 79(1): 77–86

    Article  Google Scholar 

  38. Sandgren E, Cameron T M. Robust design optimization of structures through consideration of variation. Computers & Structures, 2002, 80(20–21): 1605–1613

    Article  Google Scholar 

  39. Zhang Y, He X, Liu Q, et al. Reliability-based optimization and robust design of coil tube-spring with non-normal distribution parameters. Proceedings of the Institution of Mechanical Engineers. Part C, Journal of Mechanical Engineering Science, 2005, 219 (6): 567–575

    Article  Google Scholar 

  40. Zhang Y, He X, Liu Q, et al. An approach of robust reliability design for mechanical components. Proceedings of the Institution of Mechanical Engineers. Part E, Journal of Process Mechanical Engineering, 2005, 219(3): 275–283

    Article  Google Scholar 

  41. Zhang Y, He X, Liu Q, et al. Robust reliability design of banjo flange with arbitrary distribution parameters. Journal of Pressure Vessel Technology, 2005, 127(4): 408–413

    Article  Google Scholar 

  42. Zhang Y, He X, Liu Q, et al. Robust reliability design of vehicle components with arbitrary distribution parameters. International Journal of Automotive Technology, 2006, 7(7): 859–866

    Google Scholar 

  43. Vetter W J. Matrix calculus operation and Taylor expansions. SIAM Review, 1973, 15(2): 352–369

    Article  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. School of Mechanical Engineering and Automation, Northeastern University, Shenyang, 110819, China

    Yimin Zhang

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  1. Yimin Zhang
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Correspondence to Yimin Zhang.

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Zhang, Y. Reliability-based robust design optimization of vehicle components, Part I: Theory. Front. Mech. Eng. 10, 138–144 (2015). https://doi.org/10.1007/s11465-015-0333-2

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  • DOI: https://doi.org/10.1007/s11465-015-0333-2

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