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
Keywords
Related Articles
- EP ID EP408458
- DOI 10.5604/01.3001.0012.7332
- Views 61
- Downloads 0
Dynamika układu mechanicznego: strzelec – amortyzator odrzutu – broń palna
W artykule przedstawiono model matematyczny pozwalający symulować komputerowo ruch układu strzelec – amortyzator odrzutu – broń palna we wstępnej fazie jego ruchu, gdy świadome reakcje strzelca na wymuszenia siłowe nie w...
Kod termochemiczny do obliczania parametrów spalania, wybuchu i detonacji nieidealnych układów wysokoenergetycznych
W pracy przedstawiono kod termochemiczny ZMWNI do wyznaczania równowagowego stanu reagującego, nieidealnego układu heterogenicznego. Wykonano obliczenia równowagowe i nierównowagowe parametrów wybuchu, spalania i detonac...
Correction Procedure of Wave Signals for a Viscoelastic Split Hopkinson Pressure Bar
A polymeric split Hopkinson pressure bar technique (SHPB) is preferred for testing materials with low mechanical impedance. However, the use of polymeric bars requires additional analysis for data reduction, temperature...
Pomiary drgań izolowanych fragmentów konstrukcji płatowcowych z zastosowaniem analizatora modalnego LMS SCADAS Lab
Przed wydaniem świadectwa typu dla wprowadzanego do eksploatacji samolotu nadzór lotniczy w myśl obowiązujących przepisów określa wymogi dotyczące min. testów wibracyjnych. Na etapie uzyskiwania zgody na próby w locie na...
Modal Analysis of Barrels for Assault Rifles
This paper deals with modal analysis of barrels for assault rifles. The barrels are modeled as 3-D objects. Three different barrels for analysis were used. First barrel is fully cylindrical and served as comparison to an...