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Buckling of Stiffened Thin-Walled Truncated Cones Subjected to External Pressure

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Abstract

The results of external air pressure buckling tests of thin-walled, truncated conical steel shells are presented, along with a description of the equipment developed for the testing program. The testing was conducted in support of Sandia National Laboratories Z-Pinch Inertial Fusion Energy Proof-of-Principle power plant design. Optimized stiffening ring locations were determined by using the finite element method, and were then tested, indicating an experimental improvement in initial buckling pressure of more than 300% over the unstiffened cone. An analytical method of determining buckling pressures of stiffened conical shells is also presented, based on the method of the equivalent cylindrical shell. The results of the analytical method agreed very closely to the finite element method for the stiffened cones, but are 20–40% higher than the experimental results.

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References

  1. Amrock E, Barkey ME, Turgeon MC (2006) Pressure testing of recyclable transmission lines for a fusion reactor. Exp Tech 30(1):51–55 (January/February).

    Article  Google Scholar 

  2. Bellout H, Bloom F (2001) Modeling the buckling of rectilinearly orthotropic truncated conical shells. Math Comput Model 34:195–227.

    Article  MATH  MathSciNet  Google Scholar 

  3. HKS Inc. (2006) ABAQUS version 6.6-1 User’s and theory manuals. HKS Inc., Providence, RI, USA.

  4. Hoff NJ (1955) Thin circular conical shells under arbitrary loads. J Appl Mech 22:557–562 (December).

    MATH  Google Scholar 

  5. Hunt GW, Peletier MA, Champneys AR, Woods PD, Wadee MA, Budd CJ, Lord GJ (2000) Cellular buckling in long structures. Nonlinear Dyn 21:3–29.

    Article  MATH  MathSciNet  Google Scholar 

  6. Jordan WD (1955) Buckling of conical shells and reinforcement of rectangular cutouts in pressurized cylinders. The University of Alabama Bureau of Engineering Research Report, February 1955.

  7. Kobayashi S (1966) Literature survey on the buckling of conical shells. Graduate Aeronautical Laboratories, California Institute of Technology, Pasadena, CA, USA.

  8. Niordson FIN (1947) Buckling of conical shells subjected to uniform external lateral pressure. Transactions of the Royal Institute of Technology, Stockholm, Sweden 10:1–21.

    Google Scholar 

  9. Olson CL, Rochau G, Slutz S, et al. (2005) Development path for Z-pinch IFE. Fusion Science and Technology 47(3):633–640.

    Google Scholar 

  10. Ross CTF (2001) Pressure vessels: external pressure technology. Harwood Publishing, West Sussex, England, p. 100.

    Google Scholar 

  11. Seide P (1959) On the buckling of truncated conical shells under uniform hydrostatic pressure. Proceedings of the International Union of Theoretical and Applied Mechanics, Symposium on the Theory of Thin Elastic Shells, Delft, Holland 24–28:363–388 (August).

  12. Singer J (1961) Buckling of circular conical shells under axisymmetrical external pressure. J Mech Eng Sci 3(4):330–339.

    Article  Google Scholar 

  13. Singer J (1963) Correlation of the critical pressure of conical shells with that of equivalent cylindrical shells. AIAA J 1(11):2675–2676.

    Google Scholar 

  14. Singer J, Weller T (2000) Instability of conical shells, theory versus experiment. AIAA 2000-1386, 41st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference and Exhibit, 3–6 April 2000, Atlanta, GA.

  15. Singer J, Arbocz J, Weller T (2002) Buckling experiments: experimental methods in buckling of thin-walled structures, volume 2. Shells, built-up structures, composites, and additional topics. Wiley, New York, p. 628, 729.

    Google Scholar 

  16. Windenburg DF, Trilling C (1934) Collapse by instability of by thin cylindrical shells by external pressure. Transactions of the American Society of Engineers, APM-56-20:819–825.

    Google Scholar 

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Barkey, M.E., Turgeon, M.C. & Varun Nare, T. Buckling of Stiffened Thin-Walled Truncated Cones Subjected to External Pressure. Exp Mech 48, 281–291 (2008). https://doi.org/10.1007/s11340-007-9080-6

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  • DOI: https://doi.org/10.1007/s11340-007-9080-6

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