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Deformations and Stresses in Shallow Spherical and Paraboloidal Domes with Polar Openings under Rotationally Symmetrical Loads

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Computational Mechanics ’86

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Summary

A mathematical analysis of the stresses and deflections in thin shallow spherical and paraboloidal domes with polar openings subjected to rotationally symmetrical distributed loads is presented. The domes are considered to be of constant thickness and isotropic construction and to be supported continuously along the outer boundary by a rigid ring. A simplified yet accurate analysis is accomplished by the application of bending shell theory. The equations are specialized to provide solutions for either fixed or simply supported structures. Results are presented in the form of nondimensional curves which provide stresses and deflections in the most general form.

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References

  1. Reissner, E. “Stresses and Small Displacements of Shallow Spherical Shells,” Parts I and II, Journal of Mathematics and Physics, Vol. 25 (1946–47), pp. 80–85, 279–300.

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  2. Fettahlioglu, O.A., “Analysis of Shallow Spherical Cantilevered Shells and Shallow Spherical Domes with Polar Openings under Symmetrically Distributed Loads,” Sandia Laboratories, Research Report SCL-RR-68–26, March 1969, Livermore, California.

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  3. Mar, J.W., and Wan, F.Y.M., “Distortions and Stresses of Paraboloidal Surface Structures,” Part 3, Massachusetts Institute of Technology, Lincoln Laboratory, Report 71G-1, 15 August 1963, AD417081.

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  4. Kalnins, A., “Static, Free Vibration and Stability Analysis of Thin, Elastic Shells of Revolution,” Technical Report AFFDL-TR-68–144, U.S. Air Force Flight Dynamics Laboratory, Ohio.

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  5. Fettahlioglu, O.A., “Analysis of Shallow Spherical Cantilever Shells and Shallow Spherical Domes with Polar Openings under Antisymmetrically Distributed Loads,” Sandia Laboratories, Research Report SCL-RR-69-80, September 1969, Livermore, California.

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Author information

Authors and Affiliations

  1. Mechanical and Aerospace Engineering, New York Institute of Technology, Old Westbury, New York, USA

    Omer A. Fettahlioglu

  2. Civil and Environmental Engineering, Polytechnic University, Brooklyn, New York, USA

    Ahmed M. Sayed

Authors
  1. Omer A. Fettahlioglu
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  2. Ahmed M. Sayed
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Editor information

Editors and Affiliations

  1. Department of Nuclear Engineering, The University of Tokyo, 3-1, Hongo 7-chome, Bunkyo-ku, Tokyo 113, Japan

    Genki Yagawa

  2. Center for the Advancement of Computational Mechanics, School of Civil Engineering, Georgia Institute of Technology, 225, North Avenue, Atlanta, GA, 30332, USA

    Satya N. Atluri

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© 1986 Springer Japan

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Fettahlioglu, O.A., Sayed, A.M. (1986). Deformations and Stresses in Shallow Spherical and Paraboloidal Domes with Polar Openings under Rotationally Symmetrical Loads. In: Yagawa, G., Atluri, S.N. (eds) Computational Mechanics ’86. Springer, Tokyo. https://doi.org/10.1007/978-4-431-68042-0_3

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  • DOI: https://doi.org/10.1007/978-4-431-68042-0_3

  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-68044-4

  • Online ISBN: 978-4-431-68042-0

  • eBook Packages: Springer Book Archive

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