Reliability-Based Design Optimization Method of Turbine Disk with Transformed Deterministic Constraints
Publication: Journal of Aerospace Engineering
Volume 30, Issue 1
Abstract
To improve the computational efficiency of the reliability-based design optimization (RBDO) of a complex structure with nonlinear and implicit limit-state function, the single-loop-single-vector (SLSV)-limit-state factor (LSF) (SLSV-LSF) method was developed by fully considering the advantages of the SLSV approach and the LSF method to transform uncertain constraints into deterministic constraints. The mathematical models of SLSV and LSF were established and the basic RBDO process of the SLSV-LSF method is presented. The shape optimization of an aeroengine turbine disk was completed based on the proposed method. From the reliability sensitivity analysis of the turbine disk, it is revealed that an uncertain constraint of average circumferential stress can be transformed into a deterministic constraint and material density can be regarded as a deterministic variable. Through the min-mass shape design of the turbine disk based on different approaches, it is demonstrated that the developed method maintains high computational speed and efficiency while keeping maintaining computational accuracy, which validates the feasibility and validity of the SLSV-LSF method in the RBDO of aeroengine typical components.
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Acknowledgments
The paper is cosupported by the National Natural Science Foundations of China (Grant Nos. 51305012 and 51375031), Aviation Science Fund of China (Grant No. 2014ZB51), Defense Industrial Technology Development Program (Grant No. B2120132006), General Research Grant from Hong Kong SAR Government [Grant No. 514013(B-Q39B)], the funding of Hong Kong Scholars Programs (Grant Nos. XJ2015002 and G-YZ90), and China’s Postdoctoral Science Funding (Grant No. 2015M580037). The authors would like to thank them.
References
Ang, A. H. S., and Tang, W. H. S. (1984). Probability concepts in engineering planning and design, Wiley, New York.
ANSYS 14.0 [Computer software]. ANSYS, Canonsburg, PA.
Bagaviev, A., and Ulbrich, A. (2004). “Life assessment of turbine components based on deterministic and probabilistic procedures.” Int. J. Pressure Vessels Piping, 81(10-11), 855–859.
Basha, B. M., and Babu, G. L. S. (2010). “Reliability assessment of internal stability of reinforced soil structures: A pseudo-dynamic approach.” Soil Dyn. Earthquake Eng., 30(5), 336–353.
Basha, B. M., and Babu, G. L. S. (2011). “Reliability based earthquake resistant design for internal stability of reinforced soil structures.” Geotech. Geol. Eng., 29(5), 803–820.
Basudhar, A., Missoum, S., and Sanchez, A. H. (2008). “Limit state function identification using support vector machines for discontinuous responses and disjoint failure domains.” Probab. Eng. Mech., 23(1), 1–11.
Chen, X., Hasselman, T. K., and Neill, D. J. (1997). “Reliability based structural design optimization for practical applications.” 38th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conf., AIAA, Reston, VA.
Ching, J., and Hsu, W. C. (2008a). “Transforming reliability limit-state constraints into deterministic limit-state constraints.” Struct. Saf., 30(1), 11–33.
Ching, J. Y., and Hsu, W. C. (2008b). “Approximate optimization of systems with high-dimensional uncertainties and multiple reliability constraints.” Comput. Methods Appl. Mech. Eng., 198(1), 52–71.
Ching, J. Y., and Hsu, W. C. (2008c). “Transforming reliability limit-state constraints into deterministic limit-state constraints.” Struct. Saf., 30(1), 11–33.
Chiralaksanakul, A., and Mahadavan, S. (2005). “First-order approximation methods in reliability-based design optimization.” J. Mech. Des., 127(5), 851–857.
Ding, A. X., and Wu, J. (1979). “Spey MK202 engine stress criteria (EGD-3).” International Aviation Editorial Dept., Beijing.
Doltsinis, I., and Kang, Z. (2004). “Robust design of structures using optimization methods.” Comput. Methods Appl. Mech. Eng., 193(23-26), 2221–2237.
Elms, D. G. (2004). “Structural safety—issues and progress.” Prog. Struct. Eng. Mater., 6(2), 116–126.
Fei, C. W., Bai, G. C., Tang, W. Z., and Choy, Y. (2015a). “Optimum control for nonlinear dynamic reliability radial deformation of turbine casing with T-LSSVM.” Adv. Mater. Sci. Eng., 2015, 680406.
Fei, C. W., Bai, G. C., Tang, W. Z., Choy, Y. S., and Gao, H. F. (2016). “Transient reliability optimization for turbine disk radial deformation.” J. Central South Univ., 23(2), 344–352.
Fei, C. W., Tang, W. Z., and Bai, G. C. (2014a). “Novel method and model for dynamic reliability optimal design of turbine blade.” Aerosp. Sci. Technol., 39(6), 588–595.
Fei, C. W., Tang, W. Z., and Bai, G. C. (2014b). “Study on the theory, method and model for mechanical dynamic assembly reliability optimization.” Proc. IME Part C-J. Mech. Eng. Sci., 228(16), 3019–3038.
Fei, C. W., Tang, W. Z., and Bai, G. C. (2015b). “Nonlinear dynamic probabilistic design of turbine disk-radial deformation using extremum response surface method-based support vector machine of regression.” Proc. IME Part G-J. Mech. Eng. Sci., 229(2), 290–300.
Hu, D. Y., and Wang, R. Q. (2008). “Probabilistic analysis on turbine disk under LCF-creep.” Proc., ASME Turbo Expo 2008: Power for land, Sea, and Air, The American Society of Mechanical Engineers, New York, NY.
Hu, D. Y., Wang, R. Q., and Tao, Z. (2011). “Probabilistic design for turbine disk at high temperature.” Aircraft Eng. Aerosp. Technol., 83(4), 199–207.
Huang, M. F., Chan, C. M., and Lou, W. J. (2012). “Optimal performance-based design of wind sensitive tall buildings considering uncertainties.” Comput. Struct., 98-99, 7–16.
Huang, Z. H., Wang, C. E., Chen, J., and Tian, H. (2011). “Optimal design of aeroengine turbine disk based on Kriging surrogate models.” Comput. Struct., 89(1-2), 27–37.
Kogiso, N., Yang, Y. S., Kim, Y. S., and Lee, J. O. (2012). “Modified single-loop-single-vector method for efficient reliability-based design optimization.” J. Adv. Mech. Des. Syst. Manuf., 6(7), 1206–1220.
Kokkolaras, M., Mourelatos, Z. P., and Papalambros, P. Y. (2006). “Impact of uncertainty quantification on design: An engine optimization case study.” Int. J. Reliab. Saf., 1(1-2), 225–237.
Lee, I., Choi, K. K., Du, L., and Gorsich, D. (2008). “Inverse analysis method using MPP-based dimension reduction for reliability-based design optimization of nonlinear and multi-dimensional systems.” Comput. Methods Appl. Mech. Eng., 198(1), 14–27.
Liang, J. H., Mourelatos, Z. P., and Nikolaidis, E. (2007). “A single-loop approach for system reliability-based design optimization.” J. Mech. Des., 129(12), 1215–1224.
Liu, P., and Der Kiureghian, A. (1991). “Optimization algorithms for structural reliability.” Struct. Saf., 9(3), 161–177.
Mishra, S. K., Roy, B. K., and Chakraborty, S. (2013). “Reliability-based-design-optimization of base isolated buildings considering stochastic system parameters subjected to random earthquakes.” Int. J. Mech. Sci., 75(9), 123–133.
Naess, A., Leira, B. J., and Batsevych, O. (2009). “System reliability analysis by enhanced Monte Carlo simulation.” Struct. Saf., 31(5), 349–355.
NX Unigraphics 7.5 [Computer software]. Siemens PLM Software, Plano, TX.
Papadrakakis, M., Lagaros, N. D., and Plevris, V. (2005). “Design optimization of steel structures considering uncertainties.” Eng. Struct., 27(9), 1408–1418.
Shan, S. Q., and Wang, G. G. (2008). “Reliable design space and complete single-loop reliability-based design optimization.” Reliab. Eng. Syst. Saf., 93(8), 1218–1230.
Spence, S. M. J., and Gioffre, M. (2011). “Efficient algorithms for the reliability optimization of tall buildings.” J. Wind Eng. Ind. Aerodyn., 99(6–7), 691–699.
Tu, J., and Choi, K. K. (1999). “A new study on reliability-based design optimization.” J. Mech. Des., 121(4), 557–564.
Wu, Y. T., Shin, Y., Sues, R. H., and Cesare, M. A. (2001). “Safety-factor based approach for probabilistic-based design optimization.” 42nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conf., AIAA, Reston, VA.
Yang, R. J., and Gu, L. (2004). “Experience with approximate reliability-based optimization methods.” Struct. Multidiscipl. Optimiz., 26(1-2), 152–159.
Yang, R. J., and Gu, L. (2005). “Experience with approximate reliability-based optimization methods II: An exhaust system problem.” Struct. Multidiscipl. Optimiz., 29(6), 488–497.
Yao, W., Chen, X., Luo, W., Tooren, M. V., and Guo, J. (2011). “Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles.” Prog. Aerosp. Sci., 47(6), 450–479.
Zhu, S. P., Huang, H. Z., Smith, R., Ontiveros, V., He, L. P., and Modarres, M. (2013). “Bayesian framework for probabilistic low cycle fatigue life prediction and uncertainty modeling of aircraft turbine disk alloys.” Probab. Eng. Mech., 34(1), 114–122.
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Published In
Journal of Aerospace Engineering
Volume 30 • Issue 1 • January 2017
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Feb 17, 2016
Accepted: May 19, 2016
Published online: Jul 20, 2016
Discussion open until: Dec 20, 2016
Published in print: Jan 1, 2017
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