Parameter sensitivity in nonlinear transient thermal problems

Authors

  • Michał Kleiber Institute of Fundamental Technological Research Polish Academy of Sciences
    Poland
  • Andrzej Slużalec Technical University of Częstochowa
    Poland

Abstract

A general problem of parameter sensitivity of non-linear transient thermal systems is considered. The non-linear sensitivity path is followed by a weighted residual method employing the continuum description. The resulting finite element equations are derived. Both the direct differentiation and adjoint system methods are employed to evaluate sensitivity functional increments during the integration time step. Numerical results illustrate the method proposed.

References

[1] J .S. Arora, J.B . Cardoso. Variational principle for shape design sensitivity analysis. AIAA J., 30: 538-547, 1992.
[2] K.-J . Bathe. Finite Element Procedures in Engineering Analysis. Prentice-Hall, 1982.
[3] K. Dems. Sensitivity analysis in thermal problems - I: Variation of material parameter within a fixed domain. J. of Thermal Stresses, 9: 303- 324, 1986.
[4] K. Dems. Sensitivity analysis in thermal problems - II: Structural shape variation. J. of Thermal Stresses, 10: 1-16, 1987.
[5] K. Dems, Z. Mróz. Variational approach to first and second-order sensitivity analysis. Int. J. Num. Meth. Engng., 21 : 637- 646, 1985.

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Published

2023-07-17

Issue

Vol. 2 No. 4 (1995)
pp. 253-270

Section

Articles

License

Copyright © The Author(s).

This work is licensed under the Creative Commons Attribution 4.0 International CC BY 4.0.

How to Cite

Kleiber, M., & Slużalec, A. (2023). Parameter sensitivity in nonlinear transient thermal problems. Computer Assisted Methods in Engineering and Science, 2(4), 253-270. https://cames3.ippt.pan.pl/index.php/cames/article/view/1466

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