A New Adaptive Response Surface Model for Reliability Analysis of 2.5D C/SiC Composite Turbine Blade

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A New Adaptive Response Surface Model for Reliability Analysis of 2.5D C/SiC Composite Turbine Blade Yaning Chang 1 & Zhigang Sun 1,2 & Weiyi Sun 1 & Yingdong Song 1,2,3

Received: 29 July 2017 / Accepted: 22 September 2017 # Springer Science+Business Media B.V. 2017

Abstract In order to calculate the failure probability of complex structures such as a 2.5D/SiC composites turbine blade and improve the structure safety, a new adaptive model of Response Surface (RS) analysis has been developed in this paper, which can improve the computational efficiency of structural failure problem while ensure the accuracy. The Gaussian Process Regression (GPR) theory was used to establish the RS and reconstruct the performance function of structure. And, an Adaptive Latin hypercube Sampling (ALHS) strategy was adopted in the process of establishing and correcting the RS. Finally the Direct Simulation Monte Carlo(DSMC)was utilized to calculate the failure probability of the performance function replacing the complex structure. Two numerical examples were calculated to validate the accuracy and computational efficiency of the proposed method. Additionally the finite element stress analysis results of 2.5D C/SiC composite turbine blade were used to structural reliability analysis by the proposed method. The approach in this paper provides a new way to evaluate the risk of the complex structures. Keywords Reliability analysis . 2.5D C/SiC composites . Adaptive response surface approach . Gaussian regression . Latin hypercube sampling

* Zhigang Sun [email protected]

1

College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, People’s Republic of China

2

Key Laboratory of Aero-engine Thermal Environment and Structure, Ministry of Industry and Information Technology, Nanjing 210016, People’s Republic of China

3

Jiangsu Province Key Laboratory of Aerospace Power System, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, People’s Republic of China

Appl Compos Mater

1 Introduction Structural reliability analysis provides a useful tool for safety assessment of engineering structures and enables performance of more rational risk evaluations [1] from the uncertain factors of design parameters in the design stage. Therefor the Structural reliability analysis has the actual industrial background, and a reasonable and effective approach of the reliability analysis is very important. Generally structural reliability analysis is convenient and straightforward when the limit state function is explicit. However, the limit state function is generally expressed as implicit function in practical engineering [2], especially for complex structures or some new complex material such as Ceramic matrix composites (CMCs). CMCs are considered to be one of the best potential candidate materials for elevatedtemperature structures and have a broad application prospects in the field of multi-type aeroengine thermal-side stationary structures on account of their excellent thermal, phy