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Management of Elements Reliability

  • Oleksandr Grynchenko
  • Oleksiy Alfyorov
Chapter
  • 13 Downloads

Abstract

Consider the models in which the load and limit load do not obey the same distribution laws. We will use some variants of combinations of different types of load distributions and limit load. If the load is distributed according to the Frechet law with a distribution function of the form ( 2.54), and the limit load has a log-logistic distribution ( 2.73), then the corresponding function of the unit load distribution takes the form:

Literature

  1. 25.
    E. Yanke, F. Emde, F. Lesch, Special Functions (Nauka, Мoscow, 1977). 344 pGoogle Scholar
  2. 46.
    M. Abramovitch, I. Stigan (eds.), Handbook of Special Functions with Formulas, Graphs and Tables (Nauka, Мoscow, 1979). 832 pGoogle Scholar
  3. 50.
    N.L. Johnson, in One-Dimensional Continuous Distributions [Electronic Resource], ed. by N. L. Johnson, S. Kots, N. Balakrishnan, (Binom, Мoscow, 2014). 600 pGoogle Scholar
  4. 51.
    L.N. Bolshev, N.V. Smirnov, Tables of Mathematical Statistics (Nauka, Мoscow, 1983). 416 pGoogle Scholar
  5. 9.
    A.S. Gusev, in Probabilistic Methods in Mechanics of Machines and Constructions, ed. by A. S. Gusev, V. А. Svetlitskiy, (Publishing House MSTU Named After N.E. Bauman, Мoscow, 2009). 224 pGoogle Scholar
  6. 32.
    K. Kapur, L. Lamberson, Reliability and Design of Systems (Mir, Мoscow, 1980). 604 pGoogle Scholar
  7. 54.
    G. Bateman, A. Erdei, Higher Transcendental Functions (Nauka, Мoscow, 1974). 296 pGoogle Scholar
  8. 21.
    A.P. Prudnikov, in Integrals and Series. Elementary Functions, ed. by A. P. Prudnikov, Y. A. Brychkov, O. I. Marichev, (Nauka, Мoscow, 1981). 800 pzbMATHGoogle Scholar
  9. 26.
    A.V. Sylvestrov, R.M. Shagimordinov, Fragile destruction of steel structures and ways to prevent it. Probl. Strength 5, 88–94 (1972)Google Scholar
  10. 47.
    B.V. Gnedenko, Y.K. Belyaev, A.D. Soloviev, Mathematical Methods in Reliability Theory (Nauka, Moscow, 1965). 524 pGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Oleksandr Grynchenko
    • 1
  • Oleksiy Alfyorov
    • 1
  1. 1.Vasylenko National Technical University of AgricultureKharkovUkraine

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