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Analytical-Numerical Solution of Static Problems for Noncircular Cylindrical Shells of Variable Thickness

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An analytical-numerical method of solving boundary-value static problems for transversally isotropic infinitely long noncircular cylindrical shells of variable thickness is formulated and developed. The system of basic equations is derived using the relations of the refined theory of deep shells with low shear stiffness. Expressions for internal power factors and generalized displacements of closed and open cylindrical shells with arbitrary cross-section acted upon by surface and linear forces are presented. The integrals appearing in these expressions are calculated with the method of trapezoids. The numerical results for a closed shell of elliptic cross-section under uniform internal pressure presented in the form of tables and plots are analyzed

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Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, 3 Nesterova St, Kyiv, 03057, Ukraine

    E. A. Storozhuk & A. V. Yatsura

Authors
  1. E. A. Storozhuk
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  2. A. V. Yatsura
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Correspondence to E. A. Storozhuk.

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Translated from Prikladnaya Mekhanika, Vol. 53, No. 3, pp. 91–103, May–June, 2017.

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Storozhuk, E.A., Yatsura, A.V. Analytical-Numerical Solution of Static Problems for Noncircular Cylindrical Shells of Variable Thickness. Int Appl Mech 53, 313–325 (2017). https://doi.org/10.1007/s10778-017-0813-7

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  • DOI: https://doi.org/10.1007/s10778-017-0813-7

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