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Integral-projection method and singularities of its application in mating shells with inconsistent parameters of approximation

  • Structural Mechanics and Strength of Flight Vehicles
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Abstract

We describe a numerical integral-projection method used by the authors for the approximate solution of systems of interrelated two-dimensional linear boundary-value problems in mechanics of composite shell systems. The method is based on discretization in each shell substructure of a two-dimensional problem along one of coordinates using a projection-grid variant of the Galerkin-Petrov method and its subsequent transformation to a system of ordinary differential equations; by integration and introduction of sought functions as unknown derivatives, the system is reduced to a system of integral equations being solved by the method of mechanical quadratures. The method is characterized by the fact that its application requires no additional conditions of conformity with discretization parameters of substructures being mated.

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References

  1. Rakhmankulov, N.U., Application of the Integral-Projection Method to the Approximated Solution of Problems of Static Deformation of Composite Shell-Rod Systems, Trudy 17-oi mezhdunarodnoi konferentsii po teorii obolochek i plastin (Proc. 17th Int. Conf. on the Theory of Shells and Plates), Kazan, 1996, vol. 2, pp. 178–183.

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  4. Paimushin, V.N., Saitov, I.Kh., and Rakhmankulov, N.U., Generalized Schemes of Solving Problems of Statics in the Theory of Shells of the Timoshenko Type by the Integral-Projection Method, in: Problemy mekhaniki obolochek (Problems in Shell Mechanics), Kalinin, 1988, pp. 103–110.

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Authors and Affiliations

  1. Tupolev State Technical University, Kazan, Russia

    D. N. Blinov, N. U. Rakhmankulov & I. Kh. Saitov

Authors
  1. D. N. Blinov
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  2. N. U. Rakhmankulov
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  3. I. Kh. Saitov
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Additional information

Original Russian Text © D.N. Blinov, N.U. Rakhmankulov, I.Kh. Saitov, 2007, published in Izvestiya VUZ. Aviatsionnaya Tekhnika, 2007, Vol. 50, No. 1, pp. 15–17.

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Blinov, D.N., Rakhmankulov, N.U. & Saitov, I.K. Integral-projection method and singularities of its application in mating shells with inconsistent parameters of approximation. Russ. Aeronaut. 50, 10–14 (2007). https://doi.org/10.3103/S1068799807010023

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  • DOI: https://doi.org/10.3103/S1068799807010023

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