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Abstract

The paper presents a proposal for the assessment of the reliability of steel truss (both statically determinate and indeterminate) in the persistent and accidental design situation. In the analysis, a probabilistic approach was used. The global Hasofer-Lind reliability index was employed, computed in successive time steps for the whole structure, not for individual elements. The statically determinate truss was modelled as a serial system from the reliability standpoint. For the statically indeterminate truss, kinematically admissible failure mechanisms were determined by means of the examination of the singularity of the stiffness matrix of the structure, converting the truss into a geometrically variable system. For the problem thus formulated, a serial-parallel reliability model was constructed. Monitoring the reliability index in the successive minutes of the fire makes it possible to estimate the probability of the structure failure, and to decide whether the required safety level is maintained.

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Authors and Affiliations

K. Kubicka
U. Radoń
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Abstract

Statistical conformity criteria for the compressive strength of concrete are a matter of debate. The criteria can have prejudicial effects on construction quality and reliability. Hence, the usefulness of statistical criteria for the small sample size n = 3 is questioned. These defects can cause a reduction in the quality of produced concrete and, consequently, too much risk for the recipient (investor). For this reason, the influence of conformity control on the value of the reliability index of concrete and reinforced concrete has been determined. The authors limited their consideration to the recommended standards PN-EN 206-1, PN-EN 1992 and ISO 2394 method of reliability index, which belongs to the analytical methods FORM (First Order Reliability Method). It assumes that the random variables are defined by two parameters of the normal distribution or an equivalent normal: the mean and the standard deviation. The impact of conformity control for n = 3 for concrete structures, designed according to the Eurocode 1992, for which the compressive strength of concrete is the capacity dominant parameter (sensitivity factor of dominating resistance parameter according to the FORM is 0.8), has been determined by evaluation of the reliability index.

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Authors and Affiliations

I. Skrzypczak
L. Buda-Ożóg
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Abstract

Probabilistic analysis of a space truss is presented in the paper. Reliability of such a structure is sensitive to geometrical and material imperfections. The objective of this paper is to present a variant of the point estimate method (PEM) to determine mean values and standard deviations of limit loads of engineering structures. The main advantage presented by this method is the small number of sample calculations required to obtain estimators of investigated parameters. Thus the method is straightforward, requiring only preliminaries of probability theory. This approach is illustrated by limit state analysis of a space truss, considering geometric and material imperfections. The calculations were performed for different random models, so the influence of random parameters on the limit load of the truss can be determined. A realistic snow load was imposed.

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Authors and Affiliations

P. Sorn
J. Górski
J. Przewłócki
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Abstract

Hallmark professionalism in probabilistic analysis is to quantify the uncertainties involved in construction materials subject to intrinsic randomness in its physical and mechanical properties and is now gaining popularity in civil engineering arena. As well, knowledge of behaviour of materials is continuously evolving and its statistical descriptors are also changing when more and more data collected or even data updated and hence reliability analysis has to be carried out with the updated data as a continuous process. As per the committee report ACI 544.2R, it is found that there is no attempt made for probabilistic relation between cube compressive strength and cylinder compressive strength for fiber reinforced concrete. In consequence of this report, a robust relation between cube and cylinder of experimentally conducted compressive strength was established by Monte-Carlo simulation technique for different types of fibrous concrete like steel, alkali resistant glass and polyester fibrous concrete before and after thermoshock considering various uncertainties. Nevertheless simulated probabilistic modals, characteristic modals, optimized factor of safety and allowable designed cylinder compressive strength have been developed from the drawn probability of failure graph, which exhibits robust performance in realistic Civil Engineering materials and structures.

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Authors and Affiliations

G. Elangovan
V.M. Rajanandhini
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Abstract

The study deals with stability and dynamic problems in bar structures using a probabilistic approach. Structural design parameters are defined as deterministic values and also as random variables, which are not correlated. The criterion of structural failure is expressed by the condition of non-exceeding the admissible load multiplier and condition of non-exceeding the admissible vertical displacement. The Hasofer-Lind index was used as a reliability measure. The primary research tool is the FORM method. In order to verify the correctness of the calculations Monte Carlo and Importance Sampling methods were used. The sensitivity of the reliability index to the random variables was defined. The limit state function is not an explicit function of random variables. This dependence was determined using a numerical procedure, e.g. the finite element methods. The paper aims to present the communication between the STAND reliability analysis program and the KRATA and MES3D external FE programs.

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Authors and Affiliations

A. Dudzik
U. Radoń
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Abstract

Methods of reliability engineering allow to anticipate an efficiency both geodetic network and single control points throughout the period of its operating. A reliability assessment of a predicted survey object behaviour produces data useful in optimisation of survey scope. timetable and accuracy. The essentials of reliability approach and procedures of finding of operational reliability characteristics have been presented in the paper. The presented characteristics include: the failure rate function ,i(/), the reliability function R(I) and the random object life F(1). Methods applied in reliability engineering viz. method of complete probability and method of evaluation of raw and parallel reliable structures have been adopted for survey purposes. Besides the standard ones original methods are also presented in the paper. Their concept lies on finding of stability functions and reliability characteristics indicated by means of statistical tests referring to density probability of predicted displacements. Although the presented theory is of general character the main application is focused on levelling networks.
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Authors and Affiliations

Bogdan Wolski
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Abstract

A developed method and measurement setup for measurement of noise generated in a supercapacitor is presented. The requirements for noise data recording are considered and correlated with working modes of supercapacitors. An example of results of low-frequency noise measurements in commercially available supercapacitors are presented. The ability of flicker noise measurements suggests that they can be used to assess quality of tested supercapacitors.

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Authors and Affiliations

Arkadiusz Szewczyk
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Abstract

The resistance parameters of timber structures decrease with time. It depends on the type of load and timber classes. Strength reduction effects, referred to as creep-rupture effects, due to long term loading at high stress ratio levels are known for many materials. Timber materials are highly affected by this reduction in strength with duration of load. Characteristic values of load duration and load duration factors are calibrated by means of using probabilistic methods. Three damage accumulation models are considered, that is Gerhard [1] model, Barret, Foschi[2] and Foshi Yao [3] models. The reliability is estimated by means of using representative short- and long-term limit states. Time variant reliability aspects are taken into account using a simple representative limit state with time variant strength and simulation of whole life time load processes. The parameters in these models are fitted by the Maximum Likelihood Methods using the data relevant for Polish structural timber. Based on Polish snow data over 45 years from mountain zone in: Zakopane – Tatra, Świeradów – Karkonosze, Lesko – Bieszczady, the snow load process parameters have been estimated. The reliability is evaluated using representative short – and long –term limit states, load duration factor kmod is obtained using the probabilistic model.

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Authors and Affiliations

T. Domański
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Abstract

The main drawback of any Design for Reliability methodology is lack of easy accessible reliability models, prepared individually for each critical component. In this paper, a reliability model for SiC power MOSFET in SOT – 227 B housing, subjected to power cycling, is presented. Discussion covers preparation of Accelerated Lifetime Test required to develop such reliability model, analysis of semiconductor degradation progress, samples post-failure analysis and identification of reliability model parameters. Such model may be further used for failure prognostics or useful lifetime estimation of High Performance Power Supplies.
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Authors and Affiliations

Sebastian Bąba
1
ORCID: ORCID

  1. TRUMPF Huettinger Sp. z o.o., Research and Development Department, 05-220 Zielonka, Poland
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Abstract

Aluminum-glass partition systems are used as building facades but also as glazed internal walls designated to form various internal partitions with glass doors. These partitions are designated to create fire compartments as well as separate and soundproof the zones created, without visually limiting the built up area. System fireproof partitions manufactured in fire resistance classes EI 30 to EI 180 constitute an important product in the offer of domestic and foreign manufacturers in terms of fire safety. The internal and external fireproof partitions are generally designed conformant to deterministic criteria, i.e. the structure of the partition is determined by the formal requirements listed in the legal regulations pertaining to basic requirements which should be satisfied by buildings and their parts. The fireproofing qualities of system aluminum-glass partitions are controlled in laboratories and documented in technical approvals. Partitions designed according to the deterministic criteria may be verified by the fire reliability analysis of the designed structure using the known simple and complex models of the reliability theory. In this paper the reliability formulae for simple and mixed mathematical models of non-renewable objects, which have been applied to model the fire reliability of partitions made by Aluprof, a domestic maker of aluminum-glass systems, under catalog numbers MB-78EI and MB-118EI, have been juxtaposed. The results of calculations allowed for preparing design recommendations, verifying the deterministic criteria for design of fire resistant partitions. In particular the fire reliability analysis prompts for abandoning the design of expensive aluminum-glass partitions made of multi-layered glass having multiple fire resistant layers.
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Authors and Affiliations

Marian Gwóźdź
1
ORCID: ORCID

  1. University of Bielsko-Biala (ATH), Institute of Building Industry, ul. Willowa 2, 43-309 Bielsko-Biała, Poland
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Abstract

Introduction: The Dundee Ready Education Environment Measure (DREEM) is an instru-ment that assesses the educational environment.
Aim: The aim of this study was to psychometrically evaluate a Polish version of the DREEM instrument.
Material and Methods: 203 medical students who fully completed the DREEM questionnaire were included in the study. Validity was evaluated through the analysis of construct validity and reliability.
Results: After language validation the internal consistency was assessed. Cronbach’s alpha for the overall score was 0.93 and the five subscales were: perceptions of learning 0.86, perceptions of teachers 0.82, perceptions of atmosphere 0.75, academic self-perceptions 0.61, and social-self perceptions 0.61. The exploratory factor analyses, however, yielded dimensions that did not fully correspond to the original DREEM subscales.
Conclusions: Internal consistency of the Polish version of the DREEM scale as a whole was excellent, however for each of five originally developed subscales it was lower and vary a lot; construct validity of Polish version was not compatible with the original structure of the DREEM scale but was reasonable. A new five-factor solution obtained in this study could be a reliable tool for assessing the medical education environment in the Polish circumstances, but it will require confirmation in future study.
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Authors and Affiliations

Dorota Zawiślak
1
Kamila Żur-Wyrozumska
1
Mariusz Habera
1
Karolina Skrzypiec
1
Agnieszka Pac
2
Grzegorz Cebula
1

  1. Department of Medical Education, Faculty of Medicine, Jagiellonian University Medical College, Kraków, Poland
  2. Chair of Epidemiology and Preventive Medicine, Jagiellonian University Medical College, Kraków, Poland
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Abstract

A companion robot is capable of performing a variety of activities and thus supporting the elderly and people withdisabilities. It should be able to overcome obstacles on its own, respond to what is happening around it in real-time, andcommunicate with its surroundings. It is particularly important to pay attention to these issues, as a companion robot is likely tobecome a participant in traffic. The aim of the research is to develop a mathematical model that takes into account the use of twonavigation solutions in the companion robot. Thanks to this, it will be possible to use the obtained mathematical relationships tocompare various types of navigation and make a rational choice, enabling the implementation of the assumed activities in aspecific external environment. What is new in this article is the analysis of several navigation methods and the presentation ofresearch carried out in real time using an actual robot.
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Authors and Affiliations

Karolina Krzykowska-Piotrowska
Emilia Grabka
Ewa Dudek
Adam Rosiński
ORCID: ORCID
Kamil Maciuk
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Abstract

In line with the principles of modern design a building structure should not only be safe but also optimized. In deterministic optimization, the uncertainties of the structures are not explicitly taken into account. Traditionally, uncertainties of the structural system (i.e. material parameters, loads, dimensions of the cross-sections) are considered by means of partial safety factors specified in design codes. Worth noticing, that optimal structures are sensitive to randomness design parameters and deterministic optimal solutions may lead to reduced reliability levels. It therefore seems natural to extend the formulation of deterministic optimization with the random scatter of parameter values. Such a formulation is offered by robust optimization and reliability-based design optimization. The applicability ofRBDOis strongly dependent on the availability of the joint probability density function.Aformulation of non-deterministic optimization that better adapts to the design realities is robust optimization. Unlike RBDO optimization, this formulation does not require estimation of failure probabilities. In the paper using the examples of steel beams, the authors compare the strengths and weaknesses of both formulations.
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Authors and Affiliations

Paweł Zabojszcza
1
ORCID: ORCID
Urszula Radoń
1
ORCID: ORCID
Piotr Tauzowski
2
ORCID: ORCID

  1. Kielce University of Technology, Faculty of Civil Engineering and Architecture, Al. Tysiaclecia Panstwa Polskiego 7, 25-314 Kielce, Poland
  2. Institute of Fundamental Technological Research Polish Academy of Sciences, Department of Informationand Computational Science, Adolfa Pawinskiego 5B St., 02-106 Warsaw, Poland
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Abstract

The relationship between internal response-based reliability and conditionality is investigated for Gauss-Markov (GM) models with uncorrelated observations. The models with design matrices of full rank and of incomplete rank are taken into consideration. The formulas based on the Singular Value Decomposition (SVD) of the design matrix are derived which clearly indicate that the investigated concepts are independent of each other. The methods are presented of constructing for a given design matrix the matrices equivalent with respect to internal response-based reliability as well as the matrices equivalent with respect to conditionality. To analyze conditionality of GM models, in general being inconsistent systems, a substitute for condition number commonly used in numerical linear algebra is developed, called a pseudo-condition^number. Also on the basis of the SVD a formula for external reliability is proposed, being the 2-norm of a vector of parameter distortions induced by minimal detectable error in a particular observation. For systems with equal nonzero singular values of the design matrix, the formula can be expressed in terms of the index of internal response-based reliability and the pseudo-condition^number. With these measures appearing in explicit form, the formula shows, although only for the above specific systems, the character of the impact of internal response-based reliability and conditionality of the model upon its external reliability. Proofs for complementary properties concerning the pseudo-condition^number and the 2-norm of parameter distortions in systems with minimal constraints are given in the Appendices. Numerical examples are provided to illustrate the theory.
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Authors and Affiliations

Witold Prószyński
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Abstract

The work presents the results of studies on dependence of effectiveness of chosen robust estimation methods from the internal reliability level of a geodetic network. The studies use computer-simulated observation systems, so it was possible to analyse many variants differing from each other in a planned way. Four methods of robust estimation have been chosen for the studies, differing substantially in the approach to weight modifications. For comparative reasons, the effectiveness studies have also been conducted for the very popular method in surveying practice, of gross error detection basing on LS estimation results, the so called iterative data snooping. The studies show that there is a relation between the level of network internal reliability and the effectiveness of robust estimation methods. In most cases, in which the observation contaminated by a gross error was characterized by a low index of internal reliability, the robust estimation led to results being essentially far from expectations.
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Authors and Affiliations

Mieczysław Kwaśniak
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Abstract

The paper presents a summary of research activities concerning theoretical geodesy performed in Poland in the period of 2011–2014. It contains the results of research on new methods of the parameter estimation, a study on robustness properties of the M-estimation, control network and deformation analysis, and geodetic time series analysis. The main achievements in the geodetic parameter estimation involve a new model of the M-estimation with probabilistic models of geodetic observations, a new Shift-M split estimation, which allows to estimate a vector of parameter differences and the Shift- M split (+) that is a generalisation of Shift- M split estimation if the design matrix A of a functional model has not a full column rank. The new algorithms of the coordinates conversion between the Cartesian and geodetic coordinates, both on the rotational and triaxial ellipsoid can be mentioned as a highlights of the research of the last four years. New parameter estimation models developed have been adopted and successfully applied to the control network and deformation analysis. New algorithms based on the wavelet, Fourier and Hilbert transforms were applied to find time-frequency characteristics of geodetic and geophysical time series as well as time-frequency relations between them. Statistical properties of these time series are also presented using different statistical tests as well as 2 nd , 3 rd and 4 th moments about the mean. The new forecasts methods are presented which enable prediction of the considered time series in different frequency bands.
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Authors and Affiliations

Andrzej Borkowski
Wiesław Kosek
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Abstract

The summary of research activities concerning general theory and methodology performed in Poland in the period of 2015–2018 is presented as a national report for the 27th IUGG (International Union of Geodesy and Geophysics) General Assembly. It contains the results of research on new or improved methods and variants of robust parameter estimation and their application, especially to control network analysis. Reliability analysis of the observation system and an integrated adjustment approach are also given. The identifiability (ID) index as a new measure for minimal detectable bias (MDB) in the observation system of a network, has been introduced. A new method of covariance function parameter estimation in the least squares collocation has been developed. The robustified version of the Shift-Msplit estimation, termed as Shift-M*split estimation, which enables estimation of parameter differences (robustly), without the need of prior estimation of the parameters, has been introduced. Results on the analysis of geodetic time series, particularly Earth orientation parameter time series, geocenter time series, permanent station coordinates and sea level variation time series are also provided in this review paper. The entire bibliography of related works is provided in the references.

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Authors and Affiliations

Andrzej Borkowski
Wiesław Kosek
Marcin Ligas
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Abstract

Currently, the distribution system has been adapted to include a variety of Distributed Energy Resources (DERs). Maximum benefits can be extracted from the distribution system with high penetration of DERs by transforming it into a sustainable, isolated microgrid. The key aspects to be addressed for this transformation are the determination of the slack bus and assurance of reliable supply to the prioritized loads even during contingency. This paper explores the possibilities of transforming the existing distribution system into a sustainable isolated network by determining the slack bus and the optimal locations and capacity of Distributed Generators (DGs) in the isolated network, taking into account the contingencies due to faults in the network. A combined sensitivity index is formulated to determine the most sensitive buses for DG placement. Further, the reliability based on the loss of load in the isolated system when a fault occurs is evaluated, and the modifications required in for reliability improvement are discussed. The supremacy of the transformed isolated network with distributed generators is comprehended by comparing the results from conventional IEEE 33-bus grid connected test system and modified IEEE 33-bus isolated test system having no interconnection with the main grid.

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Authors and Affiliations

R. Hari Kumar
N. Mayadevi
V.P. Mini
S. Ushakumari
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Abstract

The paper presents the method of probabilistic optimisation of load bearing capacity and reliability of statically indeterminate bar structures, and of coupling of members in kinematically admissible failure mechanisms (KAFM), which contain minimal critical sets of elements (MCSE). The latter are characterised by the fact that if only a single element is operational, the whole set is operational too. A method of increasing load bearing capacity and reliability of KAFM built from bars dimensioned in accordance with the code is presented. The paper also shows estimation of load bearing capacity and reliability of KAFM of the optimised structures containing elastic-plastic bars with quasi-brittle connections with nodes. The necessity of increasing connection of load bearing capacity and reliability in relation to bar reliability in order to prevent bars from being excluded from MCSE due to connection fracture is estimated.

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Authors and Affiliations

Z. Kowal
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Abstract

The paper provides a solution to the problem of dimensioning decisive bars on the basis of the conditions of meeting the recommended reliability classes [9] of statically determinate structures composed of n members. A theorem was formulated:if a statically determinate structure composed of n decisive members is to attain the reliability greater than, or equal to, the recommended relia-bility p = 1 – q, it is necessary and suffi cient that the damage frequency sum qᵢ of decisive members is smaller than the admissible damage frequency q of thestructure: ∑qᵢ < q. On the basis of this theorem, s coeffi cients that recommend increase of the load bearing capacity of the decisive bars in a statically determinate structure constructed in order to meet the recommended class [9] of the structure reliability, are estimated and presented in a tabular form.

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Authors and Affiliations

Z. Kowal
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Abstract

In the article problems related to human labor and factors affecting the increasing use of

industrial robots are discussed. Since human factors affect the production processes stability,

robots are preferred to apply. The application of robots is characterized by higher performance

and reliability comparing to human labor. The problem is how to determine the real

difference in work efficiency between human operator and robot. The aim of the study is to

develop a method that allows clearly definition of productivity growth associated with the

replacement of human labor by industrial robots. Another aim of the paper is how to model

robotized and manual operated workstation in a computer simulation software. Analysis of

the productivity and reliability of the hydraulic press workstation operated by the human

operator or an industrial robot, are presented. Simulation models have been developed taking

into account the availability and reliability of the machine, operator and robot. We apply

OEE (Overall Equipment Effectiveness) indicator to present how availability and reliability

parameters influence over performance of the workstation, in the longer time. Simplified

financial analysis is presented considering different labor costs in EU countries.

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Authors and Affiliations

Grzegorz Gołda
Adrian Kampa
Iwona Paprocka
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Abstract

To reliably calibrate suitable partial safety factors, useful for the specification of global condition describing structural safety level in considered design case, usually the evaluation of adequate failure probability is necessary. In accidental fire situation, not only probability of the collapse of load-bearing structure, but also another probability related to the people staying in a building at the moment of fire occurence should be assessed. Those values are different one from another in qualitative sense but they are coupled because they are determined by similar factors. The first one is the conditional probability with the condition that fire has already occured, whereas the second is the probability of failure in case of a potential fire, which can take place in the examined building compartment, but its ignition has not yet appeared. An engineering approach to estimate such both probabilities is presented and widely discussed in the article.

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Authors and Affiliations

M. Maślak
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Abstract

The report encompasses the activity of the Committee on Ethics in Science in the year 2017.

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Andrzej Zoll
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Abstract

Shaft steelwork is a component of critical infrastructure in underground mines. It connects the mining areas to the surface and enables the transport of personnel, equipment, and raw materials. Its failure or malfunction poses a threat to people and causes economic losses. Shaft steelwork is an exceptional engineering structure exposed to dynamic loads from large masses moving at high speeds and is subject to intensive deterioration resulting from corrosion and geological or mining-induced deformations. These issues cause shaft steelwork to be subject to high structural safety requirements, design oversizing, demanding maintenance procedures, and costly replacement of corroded members. The importance and unique working conditions of shaft steelwork create practical design and maintenance problems that are of interest to engineers and scientists. This paper reviews publications on the structural safety of rigid shaft steelwork and summarises the range of research from the detection of guide rail failures through the assessment of load effects and guide resistance, to the evaluation of structural reliability. The effects of guide rail failures on guiding forces, models of the conveyance-steelwork interaction, the load-carrying capacity of shaft steelwork under advanced corrosion, and the probabilistic assessment of structural reliability are presented. Significant advances in understanding the mechanical behaviour of shaft steelwork and assessing its properties have been reported. This review summarises the current state of research on shaft steelwork structural safety and highlights key future development directions.
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Authors and Affiliations

Przemysław Fiołek
1
ORCID: ORCID
Jacek Jakubowski
1
ORCID: ORCID

  1. AGH University of Krakow, Al. Mickiewicza 30, 30-059 Krakow, Poland

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