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Stress analysis of hyperbolic shells of revolution with non-axisymmetrical geometric imperfections

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Abstract

In analyzing hyperbolic shells of revolution with non-axisymmeteric imperfections, an approximate method based on simulating the effect of imperfections by the application of fictitious normal pressure loading on the perfect shell is investigated. In the analysis of a shell of revolution with a bulge-type imperfection under non-axisymmetric loads, an efficient algorithm of applying the method is developed: the effect of individual curvature errors on stress resultants and couples are separately considered, while the interactions among various curvature errors are properly treated in the analysis by an iterative procedure. This algorithm avoids repeated analyses for non-axisymmetric loads and may be implemented with a purely axisymmetric analysis capability.

A hyperbolic cooling tower shell with a bulge-type imperfection is analyzed under dead load and wind load conditions by the equivalent load method. A direct analysis of the imperfect shell is also made by a specialized finite element program. Through numerical studies, the accuracy and applicability of the equivalent load method are examined.

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References

  1. Report of the Committee of Inquiry into the Collapse of the Cooling Tower at Ardeer Nylon Works, Ayrshire on Thursday, 27th Sept. 1973, Engineering Service Department, Imperial Chemical House, Millbank, London, SWIP 3JF.

  2. Kemp, K. O. and J. G. A. Croll, The role of geometric imperfection in the collapse of a cooling tower,The Structural Engineer,54, 1, Jan. (1976), 33–37.

    Google Scholar 

  3. Calladine, C. R., Structural consequences of small imperfections in elastic thin shells of revolution.International Journal of Solids and Structures,8 (1972), 679–697.

    Google Scholar 

  4. Croll, J. G. A., F. Kaleli and K. O. Kemp, Meridionally imperfect cooling towers,Journal of the Engineering Mechanics Division, ASCE,105, EM5, Oct. (1979), 761–777.

    Google Scholar 

  5. Croll, J. G. A., F. Kaleli, K. O. Kemp and J. Munro, A simlified approach to the analysis of geometrically imperfect cooling tower shells.Engineering Structures,1, 2, Jan. (1979), 92–98.

    Google Scholar 

  6. Han, K. J. and P. L. Gould, The effect of geometric imperfection on cooling towers,Bulletin of the International Association for Shell and Spatial Structures, Vol. XX-2, Aug. (1979), 63–68.

    Google Scholar 

  7. Ellinas, C. P., J. G. A. Croll and K. O. Kemp, Cooling tower with circumferential imperfections,Journal of the Structural Division, ASCE,ST. 12, Dec. (1980), 2405–2433.

    Google Scholar 

  8. Gupta, A. K. and Al-Dabbagh, Meridional imperfection in cooling tower design: uptate,Journal of the Structural Division, ASCE, Aug. (1982), 1697–1708.

    Google Scholar 

  9. Han, K. J. and P. L. Gould, A finite element approach for shells of revolution with a local deviation, NASA Conference Publication 2245,Research in Structural and Solid Mechanics (1982).

  10. Timoshenko, S. P. and J. M. Gere,Theory of Elastic Stability, 2nd Edition, McGraw-Hill (1961).

  11. Tong, G. S., Analysis of hyperbolic shells of revolution with local geometric imperfection, A Thesis in Partial Fulfillment of the Requirements for the Degree Master of Science in Civil Engineering, Dept. of Civil Engineering, University of Houston, May (1983).

  12. Han, K. J. and P. L. Gould, Line node and transitional shell element for rotational shells,International Journal for Numerical Method in Engineering,18, June (1982), 879–895.

    Google Scholar 

  13. Han, K. J. and P. L. Gould, user's Manual of RONALD Program, Structural Engineering Research Report No. 64, Structural Division, Washington University, ST. Louis, Mo, Sept. (1982).

    Google Scholar 

  14. Reinforced concrete cooling tower shells-practice and commentary, ACI-ASCE Committee on Concrete Shell Design and Construction, ACI-ASCE Committee 334,ASI Journal, Jan. (1977), 22–31.

  15. Basu, P. K. and P. L. Gould, User's Manual of SHORE-III, Research Report No. 49, Structural Division, Washington University, St. Louis, Mo. Sept. (1977), Revised (1981).

    Google Scholar 

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Authors and Affiliations

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai

    Tong Guang-shan

  2. Department of Civil Engineering, University of Houston, Houston, U.S.A.

    Kye J. Han

Authors
  1. Tong Guang-shan
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  2. Kye J. Han
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Communicated by Loo Wen-da

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Guang-shan, T., Han, K.J. Stress analysis of hyperbolic shells of revolution with non-axisymmetrical geometric imperfections. Appl Math Mech 7, 925–935 (1986). https://doi.org/10.1007/BF01907594

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  • DOI: https://doi.org/10.1007/BF01907594

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