Abstract
A finite element approach to the thermal analysis of a thin structure located in three-dimensional space is presented. The problem is reduced to a two-dimensional one with special boundary conditions. A comparison of the results obtained in the paper with the full 3D solution is discussed.
Zusammenfassung
Eine endliche Elemente involvierende Näherung des Problems der thermischen Analyse einer im dreidimensionalen Raum lokalisierten dünnen Struktur wird entwickelt. Das Problem wird auf ein zweidimensionales mit speziellen Randbedingungen reduziert. Die erhaltenen Ergebnisse werden mit der dreidimensionalen Lösung verglichen.
Резюме
Представлен огранич енный элемент подход а к термическому анализ у тонкой структуры, определяе мой в трехмерном прос транстве. Задача решена преобр азованием до двумерного простран ства со специальными граничными условиями. Обсуждено сопоставление полученных результа тов с таковыми при тре хмерном решении.
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References
E. Otto, Descriptive Geometry (in Polish), PWN, 1965.
O. C. Zienkiewicz, The Finite Element Method, 3rd edn, McGraw-Hill, New York, 1977.
M. F. Cousins, Engineering Drawing from the Beginning, Pergamon Press, 1970.
S. Whitaker, Elementary Heat Transfer Analysis, Pergamon Press, 1976.
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Służalec, A. A new finite element approach to heat flow analysis in 3D developable structures. Journal of Thermal Analysis 30, 1063–1069 (1985). https://doi.org/10.1007/BF02108537
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DOI: https://doi.org/10.1007/BF02108537