RESEARCH PAPER
Fatigue strength reliability assessment of turbo-fan blades by Kriging-based distributed collaborative response surface method
			
	
 
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				1
				School of Mechanical Engineering Shanghai Jiao Tong University Shanghai, China Energy Department, Politecnico di Milano, Italy
				 
			 
						
				2
				School of Mechanical Engineering Shanghai Jiao Tong University Shanghai, China.
				 
			 
						
				3
				Energy Department, Politecnico di Milano Milano, Italy MINES ParisTech, PSL Research University, CRC Sophia Antipolis, France
				 
			 
						
				4
				School of Aeronautics and Astronautics Shanghai Jiao Tong University Shanghai, China
				 
			 
										
				
				
		
		 
			
			
		
		
		
		
		
			
			 
			Publication date: 2019-09-30
			 
		 			
		 
	
							
																								
		
	 
		
 
 
Eksploatacja i Niezawodność – Maintenance and Reliability 2019;21(3):530-538
		
 
 
KEYWORDS
ABSTRACT
Fatigue crack propagation affects the operational reliability of engine turbo-fan blades. In this article, we integrate a Kriging
regression model and a distributed collaborative response surface method (DCRSM) for the reliability assessment of turbo-fan
blades, considering the relevant uncertainty. Following a series of deterministic analyses, such as steady-state aerodynamic
analysis, harmonic response analysis and Campbell diagram, and based on the assumption that vibration stress is mainly from
aerodynamic load, the fatigue strength is calculated for turbo-fan blades under coupling aerodynamic forces, according to a
modified Goodman curve of titanium-alloy. Giving consideration to the uncertainty of the resonance frequencies and material
properties, the fatigue strength of the turbo-fan blade is evaluated, including probabilistic analysis and sensitivity analysis. In the
case study analyzed, the conclusions are that the fatigue strength reliability reaches 96.808% with confidence level of 0.95 for the
turbo-fan blade under the coupling aerodynamic forces, and the first three-order resonant frequencies are found to have important
influence on the fatigue performance of turbo-fan blades.
		
	
		
REFERENCES (22)
			
	1.
	
		Beck J L, Au S K. Bayesian updating of structural models and reliability using Markov chain Monte Carlo simulation. Journal of Engineering Mechanics 2002; 128(4): 380-391, 
https://doi.org/10.1061/(ASCE)...).
 
	 
 			
	2.
	
		Billinton R, Wang P. Teaching distribution system reliability evaluation using Monte Carlo simulation. IEEE Transactions on Power Systems 1999; 14(2): 397-403, 
https://doi.org/10.1109/59.761....
 
	 
 			
	3.
	
		Bucher C G, Bourgund U. A fast and efficient response surface approach for structural reliability problems. Structural Safety 1990; 7(1):57-66, 
https://doi.org/10.1016/0167-4....
 
	 
 			
	4.
	
		Cornell C A. A first order reliability theory of structural designs. Structural Reliability arid Codified Design, 1970.
		
	 
	 
 			
	5.
	
		Das P K, Zheng Y. Cumulative formation of response surface and its use in reliability analysis. Probabilistic Engineering Mechanics 2000;15(4): 309-315, 
https://doi.org/10.1016/S0266-....
 
	 
 			
	6.
	
		Der Kiureghian A, Lin H Z, Hwang S J. Second-order reliability approximations. Journal of Engineering mechanics 1987; 113(8): 1208-1225, 
https://doi.org/10.1061/(ASCE)...).
 
	 
 			
	7.
	
		Gao H F, Bai G C, Gao Y, Bao T W. Reliability analysis for aeroengine turbine disc fatigue life with multiple random variables based on distributed collaborative response surface method. Jo-rnal of Central South University 2015; 22(12): 4693-4701, 
https://doi.org/10.1007/s11771....
 
	 
 			
	8.
	
		Gao H, Bai G. Reliability analysis on resonance for low-pressure compressor rotor blade based on least squares support vector machine with leave-one-out cross-validation. Advances in Mechanical Engineering 2015; 7(4): 1687814015578351, 
https://doi.org/10.1177/168781....
 
	 
 			
	9.
	
		Gao H F, Bai G C. Vibration reliability analysis for aeroengine compressor blade based on support vector machine response surface method. Journal of Central South University 2015; 22(5): 1685-1694, 
https://doi.org/10.1007/s11771....
 
	 
 			
	10.
	
		Gao H, Fei C, Bai G, Ding L. Reliability-based low-cycle fatigue damage analysis for turbine blade with thermo-structural interaction. Aerospace Science and Technology 2016; 49:289-300, 
https://doi.org/10.1016/j.ast.....
 
	 
 			
	11.
	
		Gao H, Wang A, Bai G, Wei C, Fei C. Substructure-based distributed collaborative probabilistic analysis method for low-cycle fatigue damage assessment of turbine blade-disk. Aerospace Science and Technology 2018; 79: 636-646, 
https://doi.org/10.1016/j.ast.....
 
	 
 			
	12.
	
		Goodman J. Mechanics applied to engineering. Green: Longmans, 1918.
		
	 
	 
 			
	13.
	
		Hasofer A M, Lind N C. Exact and invariant second-moment code format. Journal of the Engineering Mechanics Division 1974; 100(1): 111-121.
		
	 
	 
 			
	14.
	
		Isaaks E H, Srivastava R M. An introduction to applied geostatistics (No. BOOK). Oxford University Press, 1989.
		
	 
	 
 			
	15.
	
		Lophaven S N, Nielsen H B, Sondergaard J, DACE-A M K T. Informatics and mathematical modelling. Technical University of Denmark, 2002.
		
	 
	 
 			
	16.
	
		Poursaeidi E, Babaei A, Arhani M M, Arablu M. Effects of natural frequencies on the failure of R1 compressor blades. Engineering Failure Analysis 2012; 25: 304-315, 
https://doi.org/10.1016/j.engf....
 
	 
 			
			
	18.
	
		Rajashekhar M R, Ellingwood B R. A new look at the response surface approach for reliability analysis. Structural Safety 1993; 12(3): 205-220, 
https://doi.org/10.1016/0167-4....
 
	 
 			
			
	20.
	
		Srinivasan A V. Flutter and resonant vibration characteristics of engine blades. Journal of Engineering for Gas Turbines and Power 1997;119(4): 742-775, 
https://doi.org/10.1115/1.2817....
 
	 
 			
	21.
	
		Subrahmanyam K B, Kulkarni S V, Rao J S. Coupled bending-bending vibrations of pre-twisted cantilever blading allowing for shear deflection and rotary inertia by the Reissner method. International Journal of Mechanical Sciences 1981; 23(9): 517-530, 
https://doi.org/10.1016/0020-7....
 
	 
 			
	22.
	
		Tvedt L. Distribution of quadratic forms in normal space-application to structural reliability. Journal of Engineering Mechanics 1990;116(6): 1183-1197, 
https://doi.org/10.1061/(ASCE)...).
 
	 
 	 
 
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