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A Fuzzy Reliability Model of Blades to Avoid Resonance and Its Convergence Analysis

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  • Meng Zhang
  • Shan Lu
  • Bo Li

Abstract

The inherent frequencies of blades, especially with friction structure of shroud, are related to many uncertain factors, which include not only random factors but also fuzzy or other uncertain factors. In this paper, the fuzzy reliability model of blades to avoid resonance is investigated. By regarding the inherent frequency as a fuzzy random variable with trapezoidal or flat-normal membership function, a fuzzy reliability model of blades to avoid resonance is proposed based on the fuzzy cut-set theory, and the corresponding numerical solution is given. Further, a theorem is proposed and proved to indicate the deficiency of the previous cut-set distributions on convergence, and, then, a new cut-set distribution is given to cover this shortage and ensure that the model is of good convergence. Finally, the proposed model is applied to evaluate the reliability of one certain blade. Some simulations are carried out to compare the new cut-set distribution with the previous ones and study the influence of fuzzy degree on the reliability.

Suggested Citation

  • Meng Zhang & Shan Lu & Bo Li, 2014. "A Fuzzy Reliability Model of Blades to Avoid Resonance and Its Convergence Analysis," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-10, August.
    • Handle: RePEc:hin:jnlmpe:278342
    DOI: 10.1155/2014/278342
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