42
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

Calculating sensitivities of thermal systems with uncertain properties using the stochastic finite element method and finite differencing

&
Pages 291-307 | Published online: 24 Oct 2007

References

  • Ang , A. H.-S. and Tang , W. H. 1975 . Probability Concepts in Engineering Planning and Design , Wiley and Sons .
  • ANSI/ASME . 1986 . Measurements Uncertainty PTc 19.1–1985, Part 1
  • Coleman , H. W. and Steele , W. G. 1989 . Experimentation and Uncertainty Analysis for Engineers , New York : J. Wiley and Sons .
  • Cook , R. D. , Malkus , D. S. and Plesha , M. E. 1989 . Concepts and Applications of Finite Element Analysis , New York : John Wiley and Sons .
  • Emery , A. F. and Fadale , T. D. 1996a . Design of Experiments using Uncertainty Information . J. Heat Transfer, Trans. of ASME , 118 : 532 – 538 .
  • Emery , A. F. and Fadale , T. D. Handling Temperature Dependent Properties and Boundary Conditions in Stochastic Finite Element Analysis . 1996 National Heat Transfer Conference . Houston. TX to be published J. Heat Transfer, Trans. of ASME
  • Fadale , T. D. and Emery , A. F. 1994 . Transient Effects of Uncertainties on the Sensitivities of Temperatures and Heat Fluxes using Stochastic Finite Elements . J. Heat Transfer, Trans. of ASME , 116 : 808 – 814 .
  • Lee , S. H. 1991 . Development of Statistical Core Thermal Design Methodology using a Modified Latin Hypercube Sampling Method . Nuclear Technology , 94 : 407 – 415 .
  • Liu , W. K. , Besterfield , G. and Belytschko , T. 1988 . Transient Probabilistic Systems . Computer Methods in Applied Mechanics and Engineering , 67 : 27 – 54 .
  • Sundararajan , C. 1995 . Probabilistic Structural Mechanics Handbook: Theory and Industrial Applications , New York : Chapman and Hall .
  • Taylor , R. P. , Luck , R. , Hodge , B. K. and Steele , W. G. 1995 . Uncertainty Analysis of Diffuse-Gray Radiation Enclosure Problems . Journal of Thermophysics and Heat Transfer , 9 : 63 – 69 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.