Abstract
To make the dynamic assembly reliability analysis more effective for complex machinery of multi-object multi-discipline (MOMD), distributed collaborative extremum response surface method (DCERSM) was proposed based on extremum response surface method (ERSM). Firstly, the basic theories of the ERSM and DCERSM were investigated, and the strengths of DCERSM were proved theoretically. Secondly, the mathematical model of the DCERSM was established based upon extremum response surface function (ERSF). Finally, this model was applied to the reliability analysis of blade-tip radial running clearance (BTRRC) of an aeroengine high pressure turbine (HPT) to verify its advantages. The results show that the DCERSM can not only reshape the possibility of the reliability analysis for the complex turbo machinery, but also greatly improve the computational speed, save the computational time and improve the computational efficiency while keeping the accuracy. Thus, the DCERSM is verified to be feasible and effective in the dynamic assembly reliability (DAR) analysis of complex machinery. Moreover, this method offers an useful insight for designing and optimizing the dynamic reliability of complex machinery.
Similar content being viewed by others
treferences
REED D A. Reliability of multi-component assemblages [J]. Reliability Engineering & System Safety, 1990, 27(2): 167–178.
SUZUKIA T, OHASHIA T, ASANO M. Assembly reliability evaluation method (AREM) [J]. Manufacturing Technology, 2003, 52(1): 9–12.
JIA Bing-hui, ZHANG Xiao-dong. Study on effect of rotor vibration on tip clearance variation and fast active control of tip clearance [J]. Advanced Material Research, 2010, 139/140/141(1): 2469–2472.
GOLE N, KUMAR A, NARASIMHAN V. Health risk assessment and prognosis of gas turbine blades by simulation and statistical methods [C]// Canadian Conference on Electrical and Computer Engineering. Niagara Falls, Canada, 2008: 1087–1092.
SEKHAN L, CHUNSIK Y. Statistical tolerance and clearance analysis assembly [C]// IEEE Intelligent Robots and Systems Conference. Osaka, Japan: IEEE, 1996: 688–695.
LATTIME S B, STEINETZ B M. Turbine engine clearance control systems: Current practices and future directions [J]. Journal of Propulsion and Power, 2004, 20(2): 302–311.
LATTIME S B, STEINETZ B M, ROBBIE M G. Test rig for evaluating active turbine blade tip clearance control concepts [J]. Journal of Propulsion and Power, 2005, 21(3): 552–563
ANNETTE E N, CHRISTOPH W M, STEHAN S. Modeling and validation of the thermal effects on gas turbine transients [J]. Journal of Engineering for Gas Turbines and Power, 2005, 127(3): 564–572.
NSSA Glenn Research Center. HTP clearance control [R]. NASA, CR-2005-213970. 2005.
KYPUROS J A, MELCHER K J. A reduced model for prediction of thermal and rotational effects on turbine tip clearance [R]. NASA/TM-2003-212226, 2003.
FORSSELL L S. Flight clearance analysis using global nonlinear optimisation-based search algorithms [C]// AIAA Guidance, Navigation, and Control Conference and Exhibit. Austin, Texas: AIAA, 2003: 1–8.
HUANG Zhang-jun, WANG Chen-gen, CHEN Jian, et al. Optimal design of aeroengine turbine disc based on Kriging surrogate models [J]. Computers and Structures, 2011, 89(1/2): 27–37.
REN Yuan, BAI Guang-chen. New neural network response surface methods for reliability analysis [J]. Chinese Journal of Aeronautics, 2011, 24(1): 25–31.
TAN Xiao-hui, BI Wei-hua, HOU Xiao-liang. Reliability analysis using radial basis function networks and support vector machines [J]. Computers and Geotechnics, 2011, 38(2): 178–186.
CAPOTORTI A, BARBANERA E. Credit scoring analysis using a fuzzy probabilistic rough set model [J]. Computational Statistics and Data Analysis, 2012, 56(4): 981–994.
MA Zhen-yu, LIN Ming-dong, HU Fan. Nonlinear dynamic response analysis of supercavitating vehicles [J]. Journal of Central South University, 2012, 19(9): 2502–2513.
ANI O A, XU He, LIU Shao-gang. Analytical modeling and multi-objective optimization (MOO) of slippage for wheeled mobile robot (WMR) in rough terrain [J]. Journal of Central South University, 2012, 19(9): 2458–2467.
ZHANG Chun-yi, BAI Guang-chen. Extremum response surface method of reliability analysis on two-link flexible robot manipulator [J]. Journal of Center South University, 2012, 19(1): 101–107.
LI Chang, HAN Xing. Analysis of reliability sensitivity for gear engagement based on response surface method [J]. Journal of Aerospace Power, 2011, 26(3): 711–715. (in Chinese)
ERSOY H, MUGAN A. Design sensitivity analysis of structures based upon the singular value decomposition [J]. Computer Methods in Applied Mechanics and Engineering, 2002, 191(32): 3459–3476.
OWEN J, ROGERS R. Flow and heat transfer in rotating disk system (Volume 1): Rotor-stator system [M]. New York: John Wiley & Sons Inc., 1989.
LEE J H, CHOI Y K. A numerical study on flow and heat transfer characteristics of film cooling with a compound angle hole [J]. Journal of Mechanical Science and Technology, 1998, 12(5): 963–971.
FEI Cheng-wei, BAI Guang-chen. Study on extremum selection method of random variable for nonlinear dynamic reliability analysis [J]. Propulsion and Power Research, 2012, 1(1): 58–63.
Author information
Authors and Affiliations
Corresponding author
Additional information
Foundation item: Project(51175017) supported by the National Natural Science Foundation of China; Project(YWF-12-RBYJ-008) supported by the Innovation Foundation of Beihang University for PhD Graduates, China; Project(20111102110011) supported by the Research Fund for the Doctoral Program of Higher Education of China
Rights and permissions
About this article
Cite this article
Fei, Cw., Bai, Gc. Distributed collaborative extremum response surface method for mechanical dynamic assembly reliability analysis. J. Cent. South Univ. 20, 2414–2422 (2013). https://doi.org/10.1007/s11771-013-1751-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11771-013-1751-0