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Analysis of multilayer orthotropic viscoelastic shells of revolution

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Abstract

We propose a technique for numerical solution of the problems of viscoelastic equilibrium of multilayer orthotropic shells of revolution in a refined formulation that is based on two step-by-step integration algorithms. The calculation of the integrals using the first algorithm is based on multiplication of two functions following the Vereshchagin rule, the integration using the second algorithm is based on quadratic approximation of the deformations. The boundary-value viscoelastic problem is solved by numerical integration using the Runge-Kutta method with orthogonalization of the solution vectors following Godunov. The results obtained using the two proposed algorithms are compared with the results found by the Schapery method. We show the influence of creep of the load-carrying layers and of the filler with and without account for the transverse shear deformations.

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Authors and Affiliations

  1. Kiev Automotive-Highway Institute, Kiev

    A. V. Babkov

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  1. A. V. Babkov
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Translated from Problemy Prochnosti, No. 12, pp. 71–77, December, 1993.

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Babkov, A.V. Analysis of multilayer orthotropic viscoelastic shells of revolution. Strength Mater 25, 915–920 (1993). https://doi.org/10.1007/BF00774639

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  • DOI: https://doi.org/10.1007/BF00774639

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