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The general solution of thin-walled toroidal shells with various boundary conditions and subjected to arbitrary loadings

Allgemeine Lösung der dünnwandigen Kreisringschalen mit verschiedenen Randbedingungen und unter beliebigen Belastungen

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Summary

Based on Novozhilov's complex force equations of thin shell theory, a general solution of toroidal shells subjected to symmetric or nonsymmetric loading is presented. It is pointed out that previous asymptotic solutions for the toroidal shell under bending load are not completely accurate and new accurate result coincident with test data are obtained.

Übersicht

Ausgehend von Novozhilov's Differentialgleichung mit komplexen Veränderlichen für die inneren Kräfte wird eine allgemeine Lösung der Kreisringschalen unter symmetrischen oder asymmetrischen Belastungen gegeben. Es wird gezeigt, daß frühere asymptotische Lösung der Kreisringschalen unter Biegung nicht genau genug sind und daß die neuen, genaueren Ergebnisse in gutem Einklang mit Versuchswerten stehen.

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References

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Zi -Hui, X., Wei, Z. The general solution of thin-walled toroidal shells with various boundary conditions and subjected to arbitrary loadings. Ing. arch 57, 166–174 (1987). https://doi.org/10.1007/BF02570603

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  • DOI: https://doi.org/10.1007/BF02570603

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