Estimation of the torsional rigidity of orthotropic solid cross section

• Autorzy: Ecsedi István , Baksa Attila

Identyfikatory

DOI

10.24423/EngTrans.1294.20210607

• Języki publikacji: EN

Abstrakty

EN

In this paper, two inequality relations are proven for the torsional rigidity of orthotropic elastic solid cross sections. By using the derived inequality relations, lower and upper bounds can be obtained for the torsional rigidity. All results of the paper follow from the Saint-Venant theory of uniform torsion. The presented bounding formulae are based on the mean value theorem of integral calculus.

Słowa kluczowe

EN

Saint-Venant torsion; orthotropic; torsional rigidity; Barta-type inequality

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Engineering Transactions
• Rocznik: 2021
• Tom: Vol. 69, iss. 2
• Strony: 211--221
• Opis fizyczny: Bibliogr. 10 poz., rys.

Twórcy

autor

Ecsedi István

• University of Miskolc Hungary

autor

Baksa Attila

• University of Miskolc Hungary

Bibliografia

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• 3. Milne-Thomson L.M., Plane Elastic System, Springer Verlag, Berlin, 1960.
• 4. Lekhnitskii S.G., Torsion of Anisotropic and Non-homogeneous Beams [in Russian], Nauka, Moscow, 1971.
• 5. Barta J., On the estimation of torsional rigidity, Koninklijke Nederlandse Akademie van Wetenschappen. Series B, 58(1): 80–89, 1955.
• 6. Barta J., On the fundamental vibration of a membrane [in French: Sur la vibration fondamentale d’une membrane], Comptes Rendus de l'Académie des Sciences Paris, 204(7): 472–473, 1934.
• 7. Bandle C., Isoperimetric Inequalities and Applications, Pitman Publishing Inc., Boston, 1980.
• 8. Hersch J., On the fundamental frequency of a vibrating membrane: evaluations by defeat and principle of the maximum [in French: Sur la fréquence fondamentale d’une membrane vibrante: évaluations par défant et principle du maximum], Journal of Applied Mathematics and Physics (ZAMP), 11: 387–413, 1960, doi: 10.1007/BF01604498.
• 9. Barta J., On the estimation of the torsional stiffness of thin-walled multicell prisms [in French: Sur l’estimation de la rigidité de torsion des prismes multicellures à paois minces], Acta Technica Academiae Scientiarum Hungaricae, XII: 333–337, 1955.
• 10. Weber C., Günther W., Torsionstheorie [in German], Friedrich Vieweg & Sohn, Braunschweig, 1958.