• ISSN 0258-2724
  • CN 51-1277/U
  • EI Compendex
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  • Indexed by Core Journals of China, Chinese S&T Journal Citation Reports
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Volume 22 Issue 1
Feb.  2009
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Article Contents
LI Jinping, CHEN Jianjun, ZHOU Chuanjun. Perturbed Numerical Algorithm of Nonprobabilistic Convex Set Theoretical Models for Temperature Field[J]. Journal of Southwest Jiaotong University, 2009, 22(1): 101-105.
Citation: LI Jinping, CHEN Jianjun, ZHOU Chuanjun. Perturbed Numerical Algorithm of Nonprobabilistic Convex Set Theoretical Models for Temperature Field[J]. Journal of Southwest Jiaotong University, 2009, 22(1): 101-105.

Perturbed Numerical Algorithm of Nonprobabilistic Convex Set Theoretical Models for Temperature Field

  • Received Date: 11 Jan 2008
  • Publish Date: 18 Feb 2009
  • In order to investigate the uncertainties of heat conduction,the uncertainties of physical parameters and initial and boundary conditions of structural temperature fields were described using convex models.The perturbation formulas of the upper and lower bounds of responses of temperature fields with unknown-but-bounded parameters were derived via the combination of the matrix perturbation theory and the convex models.A comparison between the results obtained respectively by the convex models and the interval analysis method was made by a numerical example.The results show that the width of the upper and lower bounds of temperature field responses calculated by the convex models is greater than that calculated by the interval analysis method.

     

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