Abstract
We discuss problems of the application of various reliability theories in models of optimal design of structures. Using the example of the problem of optimizing (with respect to the minimal mass criterion) the parameters of an inclined spherical shell reinforced by a network of ribs and subject to a random load stated as a nonlinear programming problem we give a comparative analysis of the optimal designs obtained using the theory of Bolotin and the theory of Kapur-Lamberson. One figure. One table. Bibliography: 5 titles.
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Literature cited
V. V. Bolotin,Methods of Probability Theory and Reliability Theory in Computations of Structures [in Russian], Stroiizdat, Moscow (1982).
I. B. Gurvich, V. G. Zakharchenko, and Yu. M. Pochtman, “A randomized algorithm for solving nonlinear programming problems,”Izv. Akad. Nauk SSSR, Tekh. Kiber., No. 5, 30–33 (1979).
K. Kapur and L. Lamberson,Reliability in Engineering Design, Wiley, New York (1977).
Yu. M. Pochtman and L. E. Khariton, “Optimal design of structures taking account of reliability (a survey),”Str. Mekh. i Rasch. Sooruzh., No. 6, 8–15 (1976).
S. A. Timashev,Recommendations for Computation of Reinforced Shells of Positive Curvature for Stability [in Russian], UralPromStroiNIIProekt, (1974).
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Translated fromMatematicheskie Metody i Fiziko-Mekhanicheskie Polya, Issue 30, 1989, pp. 82–87.
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Pochtman, Y.M., Fridman, M.M. On formulations of optimal design problems with respect to reliability criteria for reinforced shells. J Math Sci 63, 385–389 (1993). https://doi.org/10.1007/BF01255748
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DOI: https://doi.org/10.1007/BF01255748