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Deformation of a system of cylindrical shells under the action of an internal nonstationary pressure wave

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Abstract

We study the problem of nonstationary deformation of a system of imbedded cylindrical shells under the action of an internal compression wave. The rigorous method of solution we apply makes it possible to obtain a system of Volterra integral equations with retarded arguments in the deflections of the shells. We give the results of computations for the case of a linear source and a source of finite size with limiting hardness properties.

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Literature Cited

  1. A. N. Guz', and V. D. Kubenko,Methods of Designing Shells [in Russian], Vol. 5, Theory of Nonstationary Aerohydroelasticity in Shells, Kiev (1983).

  2. A. N. Guz', V. D. Kubenko, and A. E. Babaev,Hydroelasticity of Systems of Shells [in russian], Kiev (1984).

  3. V. D. Kubenko,Nonstationary International of Structural Elements witha Medium [in Russian], Kiev (1979).

  4. I. S. Gradshtein and I. M. Ryzhik,Tables of Integralsm Sums, Series, and Products, Academic Press, Boston (1994).

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  5. V. I. Gordienko and V. D. Kubenko, “On thecomputation of transient functions in interior problems of rionstationary hydroelasticity of cylindrical and spherical shells,”Prikl. Mekh.,19, No. 6, 58–62 (1983).

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  6. V. A. Ditkin and A. P. Prudnikov,Handbook of Operational Calculus [in Russian], Moscow (1965).

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Translated fromTeoreticheskaya i Prikladnaya Mekhanika, No. 23, 1992, pp. 60–66.

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Kubenko, V.D., Babaev, A.E. & Gordienko, V.I. Deformation of a system of cylindrical shells under the action of an internal nonstationary pressure wave. J Math Sci 76, 2386–2390 (1995). https://doi.org/10.1007/BF02362904

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  • DOI: https://doi.org/10.1007/BF02362904

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