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Postbuckling behavior of circular cylindrical shells under torsion

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Summary

Applying the Galerkin procedure to the Donnell basic equations, fairly accurate solutions are obtained for the postbuckling behavior of clamped circular cylindrical shells subjected to torsion. Through detailed calculations, main postbuckling characteristics, i.e., connections of the angle of twist, axial shortening and deflection with applied torque, are clarified for a wide range of shell geometrics. The results here obtained are ascertained to be in good agreement with the corresponding experimental results.

Übersicht

Durch Anwendung des Verfahrens von Galerkin auf die Donnellschen Grundgleichungen werden praktisch genaue Lösungen für das Nachbeulverhalten von eingespannten Kreiszylinderschalen gewonnen, die einer Torsion unterworfen sind. Über detaillierte Rechnungen für einen weiten Bereich von Schalengeometrien wird geklärt, wie Verdrehung, Stauchung und Nachbeulverformung mit dem gegebenen Torsionsmoment zusammenhängen. Die Ergebnisse stimmen mit experimentell ermittelten Werten gut überein.

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References

  1. Donnell, L. H.: Stability of Thin-Walled Tubes Under Torsion. NACA Rep. No. 479 (1933)

  2. Batdorf, S. B.: A Simplified Method of Elastic Stability Analysis for Thin Cylindrical Shells. NACA Rep. No. 874 (1947).

  3. Lundquist, E. E.: Strength Tests on Thin-Walled Duralumin Cylinders in Torsion. NACA T.N. No. 427 (1932)

  4. Yamaki, N.: Buckling of Circular Cylindrical Shells under Torsion (Rep. 1 and 2). Rep. Inst. High Speed Mech., Tohoku Univ. 17 (1966) pp. 171–184, 18 (1967) pp. 121–142

    Google Scholar 

  5. Loo, T. T.: Effects of Large Deflections and Imperfections on the Elastic Buckling of Cylinders Under Torsion and Axial Compression. Proc. 2nd U.S. Nat. Congr. Appl. Mech. (1954) pp. 345–357

  6. Nash, W. A.: Buckling of Initially Imperfect Cylindrical Shells Subject to Torsion. J. Appl. Mech. 24 (1957) pp. 125–130

    Google Scholar 

  7. Hayashi, T., Hirano, Y.: Postbuckling Behavior of Orthotropic Cylinders under Torsion. Trans. Japan. Soc. Aero. Space Sci. 7 (1964) pp. 47–54

    Google Scholar 

  8. Nash, W. A.: An Experimental Analysis of the Buckling of Thin Initially Imperfect Cylindrical Shells Subject to Torsion. Proc. Soc. Exp. Sterss Anal. 16 (1959) pp. 55–68

    Google Scholar 

  9. Weingarten, V. I.: The Effect of Internal Pressure and Axial Tension on the Buckling of Cylindrical Shells Under Torsion. Proc. 4th U.S. Nat. Congr. Appl. Mech. (1962) pp. 827–842

  10. Budiansky, B.: Post-Buckling Behavior of Cylinders in Torsion, Theory of Thin Shells. Ed. by F. I. Niordson, Berlin-Heidelberg-New York 1969, pp. 212–233

  11. Yamaki, N.: Experiments on the Postbuckling Behavior of Circular Cylindrical Shells under Torsion. In: Buckling of Structures, Ed. by B. Budiansky, Berlin-Heidelberg-New York, 1976, pp. 3–330.

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The authors wish to express their thanks to Mr. T. Watanabe at the Sumitomo Heavy Machinery, Ltd., and Mr. T. Sato at the Institute, for their help in computations and drawings.

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Yamaki, N., Matsuda, K. Postbuckling behavior of circular cylindrical shells under torsion. Ing. arch 45, 79–89 (1976). https://doi.org/10.1007/BF00534361

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  • DOI: https://doi.org/10.1007/BF00534361

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