A reliability model of blade to avoid resonance considering multiple fuzziness

Meng Zhang and Shan Lu

Journal of Risk and Reliability, 2014, vol. 228, issue 6, 641-652

Abstract: The reliability of aero-engine blade to avoid resonance has a great impact on the safety of airplane. The resonance problem of blade is complex and includes not only randomness but also a lot of fuzziness. By describing the fuzziness of “blade resonance will not occur†through normal bathtub membership function and the inherent frequency through trapezoidal membership function, a Posfust reliability model of blade to avoid resonance, which considers the multiple fuzziness of state and inherent frequency, was proposed based on the probability theory and fuzzy cut-set theory in this article. Meanwhile, three limit forms of the model were analyzed and it was indicated that the Posbist model, Profust model and conventional random model were special cases of the Posfust reliability model in this article. Afterward, analyzing the deficiency of the previous cut-set distributions, a new cut-set distribution named modified truncated normal distribution was proposed to ensure the model has a good convergence in the three special cases. Furthermore, a numerical method was given to solve the Posfust reliability model, and the coefficient of variation of the numerical solution was calculated subsequently. Finally, the model and the numerical method were applied to evaluate the reliability of some blades. Simulations were carried out to explain how one can utilize the model and its numerical method obtained, verify the theoretical analysis results and study the influence of fuzzy degree on the reliability.

Keywords: Fuzzy reliability model; blade resonance; membership function; cut-set distribution; numerical solution; convergence (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:sae:risrel:v:228:y:2014:i:6:p:641-652

DOI: 10.1177/1748006X14543281

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