The generalized Langevin equation describes processes in a mechanical system with both deterministic and random forces which have comparable magnitudes (i.e., neither the deterministic nor random part can be neglected) and the random force is a transformed white noise. Examples of such processes are well known in physics. In this chapter, we use integral operators with Riemannian parallel translation in order to study the Langevin equations arising in geometric mechanics. Note that in the case under consideration the trajectories of the process are a.s. smooth. This makes the analysis of such systems technically much simpler than that of the general ones studied in Chap. 4.

The Langevin Equation

Early fault diagnosis of bearing and stator faults of the single-phase induction motor using acoustic signals

Diagnosis of the three-phase induction motor using thermal imaging

Diagnosis of stator faults of the single-phase induction motor using acoustic signals

Prediction of pipe failures in water supply networks using logistic regression and support vector classification

Failure analysis and assessment on the exemplary water supply network

Assessing the vulnerability of critical infrastructure objects is of major concern when dealing with the process of dependability and risk management. Special attention is paid to the objects of higher interest, such as nuclear power plants. In spite of the protection of these objects, there is still a certain level of a potential threat. The aim of the paper is to describe a possible way of attacking on the object in order to get into a particular part of it. Several characteristics of an adversary ́s attempt were obtained. For this reason as well as for modelling adversary ́s behaviour diffusion processes have been used.

http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.baztech-7870b59a-701a-493d-8848-29a3f2438c2a/c/Valis.pdf

Utilization of diffusion processes and fuzzy logic for vulnerability assessment

Contemporary risk assessment makes reference to current world trends, whereby there is increased emphasis on safety. This paper has thus sought mainly to present new approaches to failure risk assessment where the functioning of a water distribution network (WDN) is concerned. The framework for the research involved here has comprised of: (a) an analysis of WDN failure in regard to an urban agglomeration in south-east Poland; (b) failure rate analysis, taking account of the type of a water pipe (mains, distribution, service connections (SC)) and months of the year, with an assessment of results in terms of criterion values for failure rate; (c) a determination—by reference to analyses performed previously—of the compatibility of experts’ assessments in terms of standards of failure and obtained results, through rank analysis; and (d) the proposing of a modified Multi-Criteria Decision Analysis with implementation of an Analytical Hierarchy Process, to allow failure risk assessment for the WDN to be performed, on the basis of the calculated additive value of obtained risk. The analysis in question was based on real operating data, as collected from the water distribution company. It deals with failures in the WDN over a period of 13 years in operation, from 2005 to 2017.

Approaches to Failure Risk Analysis of the Water Distribution Network with Regard to the Safety of Consumers

In accordance with the water quality standard, the safe functioning of the water treatment system operation is considered. This paper alludes to extreme situations, which arise where there is periodic deterioration of the quality of raw water, for which the technological process of water treatment is not prepared. A conception method is presented by which to assess indices of risk vis-a-vis drinking water, on the basis of a probability estimation methodology. The categorisation of water pipes in line with quality-reliability as regards the physical and chemical composition of drinking water or water intended for business purposes is proposed. An example of the method being put to use is also offered, and it is recognised how the approach being proposed could be the basis for further analysis that takes different conditions of functioning of water-supply systems into account.

https://www.mdpi.com/2071-1050/11/11/3189/pdf

Katarzyna Pietrucha-Urbanik

Papers

Failure analysis and assessment on the exemplary water supply network

Utilization of diffusion processes and fuzzy logic for vulnerability assessment

Approaches to Failure Risk Analysis of the Water Distribution Network with Regard to the Safety of Consumers

An Approach to Determine Risk Indices for Drinking Water–Study Investigation

Qualitative analysis of the failure risk of water pipes in terms of water supply safety