Optimization of reliability of the passive redundant technical subsystems with due consideration of tolerances

The work is devoted to the optimization of reliability of passively redundant of technical subsystems with due considerations of tolerances to reduce their output characteristics in case of sudden failures of the elements by synthesizing the redundancy structure. The analysis of the features of the research and development of passively redundant subsystems with due considerations of tolerances, demonstrated the need to use assigned and implemented tolerances, the ability to ensure realizable tolerances for different multiplicities of redundancy, the necessity of considering the existence of a critical probabilities of elements that determine the range (0 - Pkr) where this reservation method is not profitable. It is shown that the structure synthesis is based on the solution of a two-criterion optimization problem, which can be reduced to one criterion in different ways. In this paper, the method of reducing the private indicators to the relative criterion is chosen. The synthesis of the structure is carried o ut in two stages. At the first stage, the so-called “Weakened” task is solved, which does not take into account the requirements for reliability. At the second stage, the synthesis problem is solved with considering the reliability requirements. Due to the lack of information about the quantitative values of the assigned tolerances and the required reliability of real subsystems, the calculations of dependences of the optimal values of the reliability indices of technical subsystems for a wide range of realizable tolerances and redundancy multiplicities were performed in this work. The influence of the required reliability and tolerances on the optimal structure of passive redundancy of technical subsystems is researched. The presented results of calculations allow to choose the optimal structure of passive redundancy in the range: the required reliability from 0,92 to 0,99 and the range of assigned tolerances from 10% to 50%.

1. Kindeev E.A. The manual on the course of lectures in the discipline "Reliability of technical systems and technological risk". Vladimir: Vladim. state Univ.; 2016. Моделирование, оптимизация и информационные технологии / Modeling, optimization and information technology 2020;8(1) http://moit.vivt.ru 15 | 15

2. Polovko A.M., Gurov S.I. Fundamentals of the theory of reliability. S-P.: BHV – Petersburg; 2006.

3. Vyacheslav M. Grishin, Vu Trong Tuan. Specific features of research and development of the passive redundant subsystems of the aircraft the due consideration of tolerances. Journal of Mechanical Engineering Research & developments (JMERD). 2018;41(4):82-87.

4. Gost 27.002-2015. Reliability in technology. Terms and Definitions. M.: Standartinform; 2016.

5. Slshalov V.K. Basics of calculating the reliability of power supply systems. Ivanovo; 2012.

6. Tretyakov A.M. Fundamentals of reliability theory. Biysk: Alt. state Univ.; 2016.

7. Katalnikov V.V. Shapar Yu.V. Probability theory and mathematical statistics: a training manual. Ekaterinburg: Ural. University; 2014.

8. Tselishchev V.A. Fundamentals of reliability theory. Irkutsk; 2015.

9. Epifanov A.D. Reliability of control systems. Moscow.: Mashinostroenie; 1975.

10. Grishin V.M., Pio Manug Ko, Optimization of reliability of control systems of flying objects at active load reservation. Vestnik MAI. 2009;5:52-59.

11. Milekhin Yu.M., Berson A.Yu., Kavitskaya V.K., Erenburg E.I. Reliability of solid-fuel rocket engines. M.: LLC Evrika; 2005.

12. Handbook of reliability and efficiency in technology [under the editorship of V.I.Patrusheva and A.I. Rembezy]. M.: Mashinostroenie; 1988.