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

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.

Keywords

vehicle components / reliability-based design optimization / reliability-based sensitivity analysis / multi-objective optimization / robust design

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[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

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

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

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

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

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

[22] Zhang Y, Zhang L, Zheng J, 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

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

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

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

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

[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

[28] Zhang Y, He X, Liu Q, 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

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

[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

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

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

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

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

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

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

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

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

[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

[40] Zhang Y, He X, Liu Q, 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

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

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

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

RIGHTS & PERMISSIONS

Higher Education Press and Springer-Verlag Berlin Heidelberg