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A non-linear theory of rotating shallow shells of revolution

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Summary

A non-linear theory for shallow shells of revolution is presented in this paper. While arriving at the differential equations, large deformations and small strains are taken into account. The solution of equations in the edge zones is based on the boundary layer theory. These boundary layer solutions, predominant in the narrow edge zones are superposed on the interior solutions, to obtain a complete solution of the problem. For the interior solution, linear and non-linear theories are worked out and it is found that the agreement between the two theories is good even when the ratio of the transverse displacement to the thickness of the shell is large.

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References

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Authors and Affiliations

  1. Department of Mechanical Engineering, University of Ottawa, Canada

    S. Mirza

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  1. S. Mirza
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Mirza, S. A non-linear theory of rotating shallow shells of revolution. J Eng Math 5, 161–170 (1971). https://doi.org/10.1007/BF01535408

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  • DOI: https://doi.org/10.1007/BF01535408

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