Comparisons of Two Non-probabilistic Structural Reliability Analysis Methods for Aero-engine Turbine Disk

Abstract Turbine disk is a key component of aero-engine and the failure of turbine disk will lead to disastrous consequences, making the structural reliability analysis for the turbine disk as an urgent issue. Taking the turbine disk as the case study, this paper will compare two non-probabilistic structural reliability analysis methods of imprecise structural reliability analysis and interval structural reliability analysis aiming at providing a more profound understanding about the theoretical system of imprecise probability theory. Moreover, according to the comparisons, this paper will predict the prospects or the works should to be done for the widely application of imprecise probability theory.

[1]  Lev V. Utkin,et al.  Stress-strength reliability models under incomplete information , 2002, Int. J. Gen. Syst..

[2]  Yu Liu,et al.  Dynamic fault tree analysis based on continuous-time Bayesian networks under fuzzy numbers , 2015 .

[3]  Frank P. A. Coolen,et al.  On the Use of Imprecise Probabilities in Reliability , 2004 .

[4]  Zhang Ling,et al.  Procedures for computing the non-probabilistic reliability index of uncertain structures , 2005 .

[5]  Y. Ben-Haim.  Robust reliability in the mechanical sciences , 1996 .

[6]  Lev V. Utkin,et al.  Different faces of the natural extension , 2001, ISIPTA.

[7]  Song Dongli.  Static and Dynamic Models for Reliability Calculation of Stress-Strength Interference , 2010 .

[8]  Frank P. A. Coolen,et al.  Imprecise reliability: An introductory overview , 2007, Intelligence in Reliability Engineering.

[9]  Lev V. Utkin,et al.  Structural reliability modelling under partial source information , 2002 .

[10]  Hong-Zhong Huang,et al.  An Application of Fuzzy Fault Tree Analysis to Uncontained Events of an Areo-Engine Rotor , 2012 .

[11]  Yakov Ben-Haim,et al.  Discussion on: A non-probabilistic concept of reliability , 1995 .

[12]  Hong-Zhong Huang,et al.  Posbist fault tree analysis of coherent systems , 2004, Reliab. Eng. Syst. Saf..

[13]  Igor Kozine,et al.  Imprecise reliabilities: experiences and advances , 2000, Reliab. Eng. Syst. Saf..

[14]  Guo Shu,et al.  A non-probabilistic model of structural reliability based on interval analysis , 2001 .

[15]  Lotfi A. Zadeh,et al.  A Simple View of the Dempster-Shafer Theory of Evidence and Its Implication for the Rule of Combination , 1985, AI Mag..

[16]  Hong-Zhong Huang,et al.  Fuzzy Sets Method of Reliability Prediction and Its Application to a Turbocharger of Diesel Engines , 2013 .

[17]  Haiqing Li,et al.  A new fAult tree AnAlysis method : fuzzy dynAmic fAult tree AnAlysis , 2012 .

[18]  P. Walley.  Statistical Reasoning with Imprecise Probabilities , 1990 .

[19]  Cai Kaiyuan.  Parameter estimations of normal fuzzy variables , 1993 .