INTERVAL ANALYSIS OF FUZZY-RANDOM HEAT CONDUCTION IN COMPOSITE TUBES

• Published in: Applied mathematics and mechanics Vol. 26; no. 10; pp. 1312 - 1318
• Main Author: 刘长虹 陈虬
• Format: Journal Article
• Language: English
• Published: Department of Applied Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, P. R. China 01.10.2005
• Subjects: 复合管; 模糊数学; 温度分界条件; 热传导; 稳定性; 粗糙集; random; interval number; rough set theory; heat conduct; fuzzy
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/BF03246236

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.