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Applied Mathematics and Mechanics

, Volume 26, Issue 10, pp 1312–1318 | Cite as

Interval analysis of fuzzy-random heat conduction in composite tubes

  • Chang-hong LiuEmail author
  • Qiu Chen
Article

Abstract

During the analysis of stability heat conduction in the composite tubes, firstly, when the temperature boundary conditions are the random conditions, equations of the mean values and variances of the random thermal function are transformed. Secondly, when the heat conduct parameters are the fuzzy numbers and the temperature boundary conditions are the random numbers, interval equations of the heat conduction are presented. Thirdly, by comparison of the interval results, the result in the interval analysis is larger than that in the confidence interval. Moreover the error expecting equation is presented. Finally, with upper (lower) approximation in rough set theory, a new method of the interval analysis to deal with the stability heat conduction is presented.

Key words

heat conduct fuzzy random interval number rough set theory 

Chinese Library Classification

O159 

Document code

2000 Mathematics Subject Classification

74A15 08A72 

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Copyright information

© Editorial Committee of Appl. Math. Mech. 2005

Authors and Affiliations

  1. 1.Department of Applied Mechanics and EngineeringSouthwest Jiaotong UniversityChengduP. R. China

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