A calculation method for obtaining quantiles of fatigue characteristics distribution of constructive elements

Аuthors

Agamirov V. L.^1*, Agamirov L. V.^2**, Vestyak V. A.^3***

1. Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia
2. Russian State Technological University named after K.E. Tsiolkovsky, MATI, 3, Orshanskaya str., Moscow, 121552, Russia
3. ,

*e-mail: avl095@mail.ru
**e-mail: mmk@mati.ru
***e-mail: kaf311@mai.ru

Abstract

This article is dedicated to substantiation of lower guaranteed values of strength, durability and reliability of machines’ parts and constructive elements with respect to normal distribution law. The uses of existing tables of exact quantiles of non-central distribution as well as mathematical computation of those exact values are impeded by vast difficulties of such computations. This article presents an algorithm and implementation for computing exact values of quantiles. The presented model allows fast and accurate computing of quantiles of the non-central Student’s distribution, thus allowing quick computation of lower confidence intervals for strength, reliability and durability of constructive elements.

Keywords:

characteristics of durability, reliability, durability; quantiles of distribution of the characteristic of mechanical properties; algorithm of calculation of function of distribution of characteristics of durability, reliability and durability.