Additive damage accumulation approach to calculation and estimation of object's life's feartures
Matematičeskoe modelirovanie i čislennye metody, no. 1 (2014), pp. 82-98

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper we prove constitutive equations for calculation and estimation life's features of objects working in normal mode through life's features of objects working in another self-similar mode where life consumption is modeled according to the law of the additive damage accumulation.
Keywords: Reliability function, failure rate, life, residual life, gamma-percentile life, mean life, gamma-percentile residual life, mean residual life.
G. S. Sadykhov; V. G. Krapotkin; O. I. Kazakova. Additive damage accumulation approach to calculation and estimation of object's life's feartures. Matematičeskoe modelirovanie i čislennye metody, no. 1 (2014), pp. 82-98. http://geodesic.mathdoc.fr/item/MMCM_2014_1_a6/
@article{MMCM_2014_1_a6,
     author = {G. S. Sadykhov and V. G. Krapotkin and O. I. Kazakova},
     title = {Additive damage accumulation approach to calculation and estimation of object's life's feartures},
     journal = {Matemati\v{c}eskoe modelirovanie i \v{c}islennye metody},
     pages = {82--98},
     year = {2014},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MMCM_2014_1_a6/}
}
TY  - JOUR
AU  - G. S. Sadykhov
AU  - V. G. Krapotkin
AU  - O. I. Kazakova
TI  - Additive damage accumulation approach to calculation and estimation of object's life's feartures
JO  - Matematičeskoe modelirovanie i čislennye metody
PY  - 2014
SP  - 82
EP  - 98
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/MMCM_2014_1_a6/
LA  - ru
ID  - MMCM_2014_1_a6
ER  - 
%0 Journal Article
%A G. S. Sadykhov
%A V. G. Krapotkin
%A O. I. Kazakova
%T Additive damage accumulation approach to calculation and estimation of object's life's feartures
%J Matematičeskoe modelirovanie i čislennye metody
%D 2014
%P 82-98
%N 1
%U http://geodesic.mathdoc.fr/item/MMCM_2014_1_a6/
%G ru
%F MMCM_2014_1_a6

[1] Rainshke K., Models of system reliability and sensitivity, Mir Publ., Moscow, 1979, 452 pp.

[2] Sadykhov G.S., Kuznetsov V.I., Methods and models of safety estimation of technical objects above the exploitation period, LKI Publ., Moscow, 2007, 144 pp.

[3] Sadykhov G.S., Savchenko V.P., Gulaev Ju. V., “Estimation of the Residual Life for Items of Equipment, Based on a Physical Model of Additive Accumulation of Damages”, The Smithsonion / NASA Astrophysics Data System, Physics-Doklady, 40:8 (1995), 397–400

[4] Sadykhov G.S., Savchenko V.P., “Dependence of the Operating- Life Index on the Characteristics of Life – Reserve Spending”, The Smithsonion / NASA Astrophysics Data System, Physics-Doklady, 43:7 (1998), 412–414

[5] Rasch G., Probabilistic Models for Some Intelligence and Attainment Tests, The University of Chicago Press, Chicago, 1980, 250 pp.

[6] Sadykhov G.S., “Average Number of Failure – Free Operations up to Critical Failure of a Technologically Dangerous Facility: Calculation, Limit and Non – Parametric Estimates”, Journal of Machinery Manufacture and Reliability, 42:1 (2013), 81–88

[7] Baykal – Gursoy M., Xiao W., Ozbay K., “Modeling traffic flow interrupted by incidents”, European journal of Operational Research, 195 (2009), 127–138

[8] Chao X., “A queueing network model with catastrophes and product form solation”, Operations Research Letters, 1995, no. 18, 75–79

[9] Cranston M., Koralov L., Molchanov S., Vainberg B., “Continuos model for homopolymers”, J. Funct. Anal., 256:8 (2009), 2656–2696

[10] Sadykhov G.S., Savchenko V.P., Proceedings of the Russian Academy of Sciences, 343:4 (1995), 469–472

[11] Sadykhov G.S., Proc. Acad. Sci. USSR. Technical Cybernetics Series, 1985, no. 4, 98–102

[12] Sadykhov G.S., Problems of engineering and machine reliability, 2005, no. 1, 119–122

[13] State Standart 27.505—86. Reliability of ma-chines. Gathering, processing and analyzing data on reliability of consumer radioelectronic equipment and its component parts, Standarts Publ., Moscow, 1986, 35 pp.

[14] Sadykhov G.S., Savchenko V.P., “Problems of safety theory and system stability”, CC RAS, 1999, no. 1, 65–72

[15] Sadykhov G.S., Proc. Acad. Sci. USSR. Technical Cybernetics Series, 1983, no. 6, 185–187