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Numerical solution of problems of statics of variable-rigidity flexible spherical shells

  • Approximate Methods of Solution of Boundary-Value Problems of Mathematical Physics
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Abstract

A method is developed for numerical solution of nonlinear two-dimensional boundary-value problems of statics describing unsymmetric strain of flexible orthotropic layered spherical shells of variable rigidity in classical and enhanced-accuracy formulations. Dimension reduction is achieved by enhanced-accuracy finite-difference approximation combined with the quasilinearization method and a stable numerical method of solution of one-dimensional linear boundary-value problems.

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References

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Authors and Affiliations

  1. Institute of Mechanics of the Ukrainian Academy of Sciences, Ukraine

    B. K. Nikolaev

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  1. B. K. Nikolaev
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Translated from Vychislitel'naya i Prikladnaya Matematika, No. 73, pp. 61–66, 1992.

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Nikolaev, B.K. Numerical solution of problems of statics of variable-rigidity flexible spherical shells. J Math Sci 71, 2674–2677 (1994). https://doi.org/10.1007/BF02114044

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  • DOI: https://doi.org/10.1007/BF02114044

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