Chapman-Kolmogorov Equations for a Complete Set of Distinct Reliability States of an Object
Journal Title: Problemy Mechatroniki. Uzbrojenie, lotnictwo, inżynieria bezpieczeństwa - Year 2018, Vol 9, Issue 4
Abstract
The Chapman-Kolmogorov equations indicated in the title are a pretext to demonstrate a mathematically unrecognised truth about the effect of the reliability states of elements (which are generally understood as “subjects”) on the reliability states of a complete set of the same elements, which is called an object. Of importance here are not just the reliability characteristics of individual elements, but the independencies, dependencies and interdependencies between the elements. The relations were described in the language of graph theory. The availability matrix of the language of graph theory was translated to determine the size and probabilities of distinct reliability states of the object, the derivatives of their similarities, and the transition rates adequate to those derivatives. This article continues the research work which identifies the relationship of the properties of a complete set of distinct reliability states of an object with a widely understood theory of systems. The previous papers referred, among others, to: risk, safety, structure entropy, the reliability of the results of checks, and – most of all – technical diagnostics, both in the area of its algorithms and of its optimisation. The object’s serial reliability structure was not assumed in any of those papers, recognising that it would be a serious abuse. The research results were referred to all possible structures of a three-element object. It is believed that by virtue of the block diagrams appropriate to those structures, the readers hereof are provided with a realistic opportunity to practically (and inexpensively) verify the ideas presented here.<br/><br/>
Authors and Affiliations
Paweł SZCZEPAŃSKI, Józef ŻUREK
Eksploatacja systemu monitorowania procesu strzelań z przeciwlotniczych zestawów rakietowych
W artykule opisano system monitorowania strzelań z przeciwlotniczych zestawów rakietowych. Scharakteryzowano zasady jego eksploatacji. Zaprezentowano wybrane problemy eksploatacyjne.
The Idea of Automated Anti-aircraft Defense System of Distributed Battery or Squadron Equipped with 35 mm Canons
In this article the idea of automated anti-aircraft defense system was presented. The system consists of distributed battery or squadron of 35 mm canons and is realizing as development project in 2009-2011 years. The pro...
Symulacja przepływu gazodynamicznego wywołanego wypływem powietrza wypychanego z lufy przez pocisk
W artykule przedstawiono wyniki symulacji numerycznych wypływu powietrza wypychanego z lufy w wyniku ruchu pocisku podczas strzału na podstawie parametrów przepływu powietrza w lufie przed pociskiem. Stanowi to pierwszy...
Simulation of Steel Armour Penetration Using the Johnson-Cook Model
The numerical simulations were carried out of penetration of 12.7 mm armour piercing projectile into the ARMOX 500 steel armour with the use of the AUTODYN 2D software program applying axis symmetry. The calculations wer...
Research of Fragmentation of Dynamic Compressed Samples Made of Composites Cu-W-BNα
Research of the compression impact test of samples made of sintered cermets Cu-W-BNα with different contents of ceramics phase namely 0,5; 1, 1,5 i 3% (wt.) have been presented in this paper. The compression test were ca...