Literature Cited
I. M. Gel'fand and G. E. Shilov, Generalized Functions. No. 1. Generalized Functions and Operations Performed on Them [in Russian], Fizmatgiz, Moscow (1958).
I. N. Vekua, Theory of Thin Inclined Shells of Variable Thickness [in Russian], Metsniereba, Tbilisi (1965).
V. K. Chibiryakov, “Generalized method of finite integral transformations in the statics and dynamics of thick plates,” Soprot. Mater. Teor. Sooruzh., No. 40, 90–95 (1982).
V. K. Chibiryakov and A. M. Smolyar, “On one generalization of the method of finite integral transformations in the theory of thick plates,” Soprot. Mater. Teor. Sooruzh., No. 42, 80–86 (1983).
G. V. Isakhanov, V. K. Chibiryakov, and A. M. Smolyar, “Numerical-analytical method of solving problems of the statics of thick nonuniform plates,” Proceedings of the Thirteenth All-Union Conference on the Theory of Plates and Shells [in Russian], Part 2, Tallin (1983), pp. 130–135.
G. A. Isakhanov and V. K. Chibiryakov, Development of I. N. Vekua's Method in the Statics and Dynamics of Thick Plates, Theses of Papers Presented at the Second All-Union Conferences on Elasticity Theory [in Russian], Tbilisi (1984), pp. 122–124.
E. V. Hobson, Theory of Spherical and Ellipsoidal Functions [Russian translation], IL, Moscow (1952).
V. K. Chibiryakov and A. M. Smolyar, “The stress-strain state of a short beam of rectangular cross section,” Kiev (1983), p. 26, Manuscript deposited in the Ukrainian Scientific-Research Institute of Scientific-Technical Information, No. 1077 Uk-D83.
Additional information
Kiev Civil Engineering Institute. Translated from Problemy Prochnosti, No. 2, pp. 89–95, February, 1987.
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Isakhanov, G.V., Chibiryakov, V.K. Investigation of the stress-strain state and dynamic behavior of thick plates. Report 1. Method for deriving solving equations. Strength Mater 19, 243–251 (1987). https://doi.org/10.1007/BF01523511
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DOI: https://doi.org/10.1007/BF01523511