The method of estimating lifetimes of aircraft devices operating under ageing-attributable wearing conditions

• Autorzy: Ważny M.

Identyfikatory

DOI

10.15632/jtam-pl.54.1.981

• Języki publikacji: EN

Abstrakty

EN

The paper presents a probabilistic method of assessing lifetimes of selected structural components or assemblies of devices/systems affected by destructive processes that occur during aircraft operation. Reliability status of the device is evaluated by means of diagnostic or operational parameters. It is assumed that these devices (systems, assemblies) operate reliably if effects of wear and tear processes described by diagnostic parameters do not exceed boundary conditions/regimes. From the mathematical aspect, the method has been based on difference equations from which, when rearranged, a partial differential equation of the Fokker-Planck type is derived. A density function of the component wearing is a particular solution to this equation. With the density function of the component wearing applied, after suitable rearrangements, one can determine a density function of time for the exceeding the boundary condition. Now, with the density function of time of reaching the boundary condition found, and after rearrangement of this function, one receives dependences that can be applied to determine lifetime of the device given consideration. An example at the end of the paper illustrates how this method can be applied to analyse an airborne sighting system.

Słowa kluczowe

EN

reliability; lifetime; destructive processes; permissible condition

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2015
• Tom: Vol. 53 nr 4
• Strony: 981--990
• Opis fizyczny: Bibliogr. 16 poz., rys.

Twórcy

autor

Ważny M.

• Military University of Technology, Warsaw, Poland

Bibliografia

• 1. Abezgauz G., 1973, Calculus Probabilistic. Handbook (in Polish), Wydawnictwo MON, Warszawa
• 2. Gniedenko B.W., Bielajew J.K., Sołowiew A.D., 1968, Mathematical Methods in Reliability Theory (in Polish), WNT, Warszawa
• 3. Gradsztejn I.S., Ryżyk I.M., 1964, Tables of Integrals, Sums, Rows and Products (in Polish), PWN, Warszawa
• 4. Niu G., Singh S., Holland S., Pecht M., 2011, Health monitoring of electronic products based on Mahalanobis distance and Weibull decision metrics, Microelectronics Relibility, 51, 279-284
• 5. Pamuła W., 2011, The Reliability and the Safety (in Polish), Wydawnictwo Politechniki Śląskiej, Gliwice
• 6. Tomaszek H., Jasztal M., Zieja M., 2011, A simplified method to assess fatigue life of selected structural components of an aircraft for a variable load spectrum, Eksploatacja i Niezawodność – Maintenance and Reliability, 4, 29-34
• 7. Tomaszek H., Jasztal M., Zieja M., 2013, Application of the Paris formula with m = 2 and the variable load spectrum to a simplified method for evaluation of reliability and fatigue life demonstrated by aircraft components, Eksploatacja i Niezawodność – Maintenance and Reliability, 4, 297-304
• 8. Tomaszek H., Szczepanik R., 2005, Method of evaluation distribution of time of exceed a limiting state (in Polish), Zagadnienia Eksploatacji Maszyn, 40, 4, 35-44
• 9. Tomaszek H., Wróblewski M., 2001, Bases of Assessment of the Effectiveness of the Use of Weapon Systems Air (in Polish), Dom Wydawniczy Bellona, Warszawa
• 10. Tomaszek H., Żurek J., Stępień S., 2008, The airship maintenance with its renovation and the risk of its loss, Scientific Problems of Machines Operation and Maintenance, 43, 4, 39-49
• 11. Tomaszek H., Żurek J., Loroch L., 2004, The outline of a method of estimation reliability and durability of aircraft’s structure elements on the basis of destruction process description (in Polish), Zagadnienia Eksploatacji Maszyn, 39, 3, 73-85
• 12. Ważny M., 2011a, An outline of the method for determining the density function of changes in diagnostic parameter deviations with the use of the Weibull distribution, Scientific Problems of Machines Operation and Maintenance, 46, 2, 105-144
• 13. Ważny M., 2011b, An outline of a method for determining the density function of the time of exceeding the limit state with the use of the Weibull distribution, Scientific Problems of Machines Operation and Maintenance, 46, 3, 77-91
• 14. Ważny M., 2013, Effectiveness Analysis of the Air Sighting System in the Aspect of the Effect of Destructive Processes (in Polish), WAT
• 15. Ye Z., Tang L., Xie M., 2011, A burn-in scheme based on precentiles of the residual life, Journal of Quality Technology, 43, 4, 334-345
• 16. Zhanshan M., Krings, A.W., 2008, Survival analysis approach to reliability, survivability and prognostics and health management (PHM), Aerospace Conference, IEEE, 1-20