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Iteration method of solving stochastic boundary-value problems of elasticity theory

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Literature Cited

  1. V. V. Bolotin, Methods of the Theory of Probability and the Theory of Reliability in Structural Design [in Russian], Stroiizdat, Moscow (1982).

    Google Scholar 

  2. V. V. Bortnikova and N. B. Romalis, “Shear crack propagation in a stochastically nonuniform body,” Zh. Prikl. Mekh. Tekh. Fiz., No. 1, 145–148 (1976).

    Google Scholar 

  3. V. M. Goncharenko, “Certain classes of vector-significant generalized functions and their application to boundary-value problems concerning random functions,” Ukr. Mat. Zh., No. 2, 158–166 (1975).

    Google Scholar 

  4. K. Yosida, Functional Analysis, Springer-Verlag (1974).

  5. M. A. Krasnosel'skii et al., Approximate Solution of Operator Equations [in Russian], Nauka, Moscow (1969).

    Google Scholar 

  6. V. A. Lomakin, Statistical Problems of the Mechanics of Deformable Solids [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  7. A. V. Novozhilov, “Bending of thin plates on an elastic stochastic foundation,” Tr. Mosk. Energ. Inst.,74, 42–47 (1970).

    Google Scholar 

  8. N. B. Romalis, “Deformation of a stochastically nonuniform body with holes,” Zh. Prikl. Mekh. Tekh. Fiz., No. 3, 161–164 (1978).

    Google Scholar 

  9. V. M. Gontscharenko, “Über die Lösbarkeit der linearen stochastischen Randwertaufgaben der Elastizitätstheorie,” Wiss. Beitrage Ingenieurhochsch. Zwickau, No. 1, pp. 72–89.

  10. K. Sobozyk, “Free vibrations of elastic plate with random properties: the eigenvalue problem,” J. Sound Vib.,22, No. 1, 33–39 (1972).

    Google Scholar 

  11. A. D. Wood and F. D. Zaman, “Free vibrations of randomly inhomogeneous plates,” J. Sound Vib.,52, No. 4, 543–552 (1977).

    Google Scholar 

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Kiev State University. Translated from Prikladnaya Mekhanika, Vol. 19, No. 4, pp. 59–63, April, 1983.

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Goncharenko, V.M. Iteration method of solving stochastic boundary-value problems of elasticity theory. Soviet Applied Mechanics 19, 336–340 (1983). https://doi.org/10.1007/BF00884862

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  • DOI: https://doi.org/10.1007/BF00884862

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