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1

Tharmabala, T., and Andrzej S. Nowak. "Mathematical models for bridge reliability." Canadian Journal of Civil Engineering 14, no. 2 (April 1, 1987): 155–62. http://dx.doi.org/10.1139/l87-027.

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System reliability of bridge structures is investigated. Three terms are used to describe the standard reliability: structure function, reliability network, and reliability function. A bridge structure is represented by a reliability network which makes it possible to formulate the reliability function of the system. The reliability function is used to evaluate the reliability of the system. Reliability network and the reliability function are formulated for various types of bridges. Effects of component failures on system reliability are illustrated with examples. Key words: bridges, mathemat
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2

Feinberg, Alec. "Accelerated Reliability Growth Models." Journal of the IEST 37, no. 1 (January 1, 1994): 17–23. http://dx.doi.org/10.17764/jiet.2.37.1.f2u73m8022207868.

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Extending reliability growth so that it can be applied in the area of accelerated testing will enable one to apply all the reliability growth tools and their planning advantages. This paper describes linking these two areas together into what is termed accelerated reliability growth testing (ARGT). Mathematical equations of ARGT for both iso-stress and step-stress accelerated testing are modelled.
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Urbina, Angel, and Thomas Paez. "Statistical Validation of Structural Dynamics Models." Journal of the IEST 46, no. 1 (September 14, 2003): 141–48. http://dx.doi.org/10.17764/jiet.46.1.f430423634885g67.

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There is an increasing reliance in the engineering community on the use of mathematical models to characterize physical system behavior. This is happening even though mathematical models rarely simulate real system behavior perfectly. Due to this reliance, we require objective, well-founded mathematical techniques for model validation. This paper develops a formal approach to the validation of mathematical models of structural dynamics systems. It uses a probabilistic/statistical approach to the characterization of an important measure of behavior of dynamic systems subjected to random excitat
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4

Yi, Ping. "Discussion of Mathematical Models of Probabilistic Constraints Calculation in Reliability-Based Design Optimization." Advanced Materials Research 243-249 (May 2011): 5717–26. http://dx.doi.org/10.4028/www.scientific.net/amr.243-249.5717.

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In a reliability-based design optimization (RBDO) problem, most of the computations are used for probabilistic constraints assessment, i.e., reliability analysis. Therefore, the effectiveness, especially the correctness of the reliability analysis is very important. If the probabilistic constraint is misjudged, the optimization iteration would have convergence problems or arrive at erratic solutions. The probabilistic constraint assessment can be carried out using either the conventional reliability index approach (RIA) or the performance measure approach (PMA). In this paper, the mathematical
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Belov, Alexander, Dmitry Shaforost, and Viktor Chebotarev. "Mathematical Models for Assessing the Thermal Engineering Reliability of Boiler Units of Power Complexes." Известия высших учебных заведений. Электромеханика 64, no. 6 (2021): 88–93. http://dx.doi.org/10.17213/0136-3360-2021-6-88-93.

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The analysis is carried out and the definitions of the concept of thermal engineering reliability, the determining parameter and the determining function of boiler units, are given. A classification has been developed for the determining parameters of steam and hot water boilers by level in the chain of cause-and-effect relationships in the event of a thermal failure. It is proposed to divide the determining parameters and functions of boilers according to their spatial localization into integral and local. A lot of models for defining functions with different mathematical properties (for exam
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Heydorn, Richard P. "Reliability Engineering: Probabilistic Models and Maintenance Methods." Technometrics 48, no. 3 (August 2006): 446. http://dx.doi.org/10.1198/tech.2006.s412.

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7

Abdallah, Wafaa, Jacqueline Saliba, Ziubir-Mehdi Sbartaï, Marwan Sadek, Fadi Hage Chehade, and S. Mohammed ElAchachi. "Reliability analysis of non-destructive testing models within a probabilistic approach." MATEC Web of Conferences 281 (2019): 04003. http://dx.doi.org/10.1051/matecconf/201928104003.

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The diagnosis of reinforced concrete is essential to detect the degradation and thus maintain the structural performance of civil engineering structures. This paper aims to establish a mathematical relationship between the ultrasonic pulse velocity UPV (considered as an observable variable) and two concrete properties indicators (compressive strength fc and water content W) within a probabilistic framework. Synthetic simulations are proposed to derive a conversion model between the statistical properties of the output and the input parameters for a reinforced concrete structure by taking into
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ROMANCHENKO, Ihor S., Oleh SEMENENKO, Maryna SLIUSARENKO, Mykola VASIANOVYCH, and Ihor LEVCHENKO. "On the development of mathematical models for the reliability evaluation of aircraft operation in combat conditions." INCAS BULLETIN 13, S (August 3, 2021): 169–78. http://dx.doi.org/10.13111/2066-8201.2021.13.s.16.

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The authors of this study propose a methodological approach to modelling the reliability evaluation of aircraft operation in combat conditions. When developing recommendations on operational and strategic requirements for promising aircraft, a very important aspect is the elicitation of the requirements for their reliability, namely no-failure operation. Reliability as a parameter of any equipment should be set in the technical specifications for development together with other operational requirements in the form of reasonable quantitative indicators – reliability standards. The establishment
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9

Ya-jun, Wang, and Wang Jun. "Generalised Reliability On Hydro-Geo Objects." Open Civil Engineering Journal 9, no. 1 (July 31, 2015): 498–503. http://dx.doi.org/10.2174/1874149501509010498.

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This study established the fuzzy logic modeling of the stochastic finite element method based on the first-order approximation theorem. Fuzzy mathematical models of safety repertories were incorporated into the stochastic finite element method to analyze the stability of embankments and foundations in order to describe the fuzzy failure procedure for the random safety performance function. The fuzzy models were developed with membership functions with half depressed gamma distribution, half depressed normal distribution, and half depressed echelon distribution. The result shows that the middle
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Guo, R., and E. Love. "Reliability Modelling with Fuzzy Covariates." International Journal of Reliability, Quality and Safety Engineering 10, no. 02 (June 2003): 131–57. http://dx.doi.org/10.1142/s0218539303001056.

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In this research, we focus on covariate modelling to explore the interactions between industrial system and its enviroment in terms of the modelling fundamental characteristic — random and fuzzy uncertaity with an intention to decrease the fatal weakness of the modern dissection methodology. We extend the additive and multiplicative covariate models from these considering randomness alone into these considering both randomness and fuzziness in the sense as a mathematical extension to the existing covariate modelling. In terms of the form of logical function an engineering oriented fuzzy reliab
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11

Liu, Ying, Yao Ma, Zhigang Qu, and Xiaozhong Li. "Reliability Mathematical Models of Repairable Systems With Uncertain Lifetimes and Repair Times." IEEE Access 6 (2018): 71285–95. http://dx.doi.org/10.1109/access.2018.2881210.

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12

Obzherin, Yuriy E. "Semi-Markov and hidden semi-Markov models of energy systems." E3S Web of Conferences 58 (2018): 02023. http://dx.doi.org/10.1051/e3sconf/20185802023.

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The problem of information control systems creation for energy systems and transition to intelligent control and engineering is one of the important problems of reliability and efficiency theory for energy systems. The solution of this problem is possible based on construction of mathematical models concerning different aspects of these systems structure and operation. The possibilities of application of semi-Markov processes with common phase space of states, hidden Markov and semi-Markov models for energy system modeling are considered in the paper.
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Wang, Wanting, Zubair Ahmad, Omid Kharazmi, Clement Boateng Ampadu, E. H. Hafez, and Marwa M. Mohie El-Din. "New generalized-X family: Modeling the reliability engineering applications." PLOS ONE 16, no. 3 (March 31, 2021): e0248312. http://dx.doi.org/10.1371/journal.pone.0248312.

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As is already known, statistical models are very important for modeling data in applied fields, particularly in engineering, medicine, and many other disciplines. In this paper, we propose a new family to introduce new distributions suitable for modeling reliability engineering data. We called our proposed family a new generalized-X family of distributions. For the practical illustration, we introduced a new special sub-model, called the new generalized-Weibull distribution, to describe the new family’s significance. For the proposed family, we introduced some mathematical reliability properti
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Mazūra, Mindaugas, and Olga Fadina. "THE RELIABILITY OF FORECASTS IN TRANSPORTATION." TRANSPORT 17, no. 6 (December 31, 2002): 219–22. http://dx.doi.org/10.3846/16483840.2002.10414046.

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Major problems of forecasting the economic characteristics of transportation (i.e. the amount of freight and passengers carried, the turnover rate of freight and passengers, etc. in transportation as a whole and in particular areas using various transport facilities) are demonstrated. Methods for predicting the development of transportation based on multidimensional regression and correlation analysis and realizing mathematical models for choosing linear and nonlinear regression equations, more accurately approximating the empirical data, are presented. The research conducted has demonstrated
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15

Li, Xiao Quan, Run Ling Li, and Yi Jing Xie. "Reliability Analysis Based on Markov Process for Repairable Systems." Applied Mechanics and Materials 571-572 (June 2014): 241–44. http://dx.doi.org/10.4028/www.scientific.net/amm.571-572.241.

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The problems of reliability and maintainability for repairable systems are investigated in this paper, and Markov process is employed to build the mathematical models of availability and reliability for the repairable systems. Firstly, the formulas of availability and reliability for single repairable systems are deduced. Then, the repairable system with two parallel components and one standby are investigated, which is common in engineering application. Finally, simple approaches are summarized for availability of complicated repairable systems. Since the two approaches has the same result, w
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Pugacheva, Natalya, Tatyana Kirillova, Olga Kirillova, Aleksandr Lunev, and Oksana Pavlova. "Forming the Basic Mathematical Knowledge among Technical Students." International Journal of Emerging Technologies in Learning (iJET) 15, no. 03 (February 18, 2020): 34. http://dx.doi.org/10.3991/ijet.v15i03.11686.

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Mathematical knowledge plays a system-forming role in education. The aim of this paper is to find out the didactic features of mathematical knowledge formation. The study involved 50 professors, 300 students. The criteria of mathematical knowledge acquisition include reliability, autonomy, and stability. The main study objectives are as follows. First, to clarify and scientifically substantiate special functions of mathematical knowledge in the process of engineering activity (bijection, formalization, relativity, and robustness). Second, to determine the formation of academic and applied math
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17

Isametova, Madina E., Rollan Nussipali, Nikita V. Martyushev, Boris V. Malozyomov, Egor A. Efremenkov, and Aysen Isametov. "Mathematical Modeling of the Reliability of Polymer Composite Materials." Mathematics 10, no. 21 (October 26, 2022): 3978. http://dx.doi.org/10.3390/math10213978.

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An urgent task in creating and using composite materials is the assessment and prediction of their performance properties and reliability. Currently, when studying the reliability of the materials, there is little experimental data, mathematical descriptions, and models for both probabilistic and deterministic methods to assess reliability. Based on the obtained experimental data, this article discusses the development of a methodology for predicting reliability. The article also proposes a statistical model for assessing reliability by the criterion of the structural strength of products made
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18

Al-Mutairi, Norah N., Lutfiah I. Al-Turk, and Sharifah A. Al-Rajhi. "A New Reliability Model Based on Lindley Distribution with Application to Failure Data." Mathematical Problems in Engineering 2020 (November 6, 2020): 1–11. http://dx.doi.org/10.1155/2020/4915812.

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Software reliability is an important feature that influences systems’ reliability. Software reliability models are a common tool to evaluate software reliability quantitatively. Various reliability models have been suggested based on the NHPP (nonhomogeneous Poisson process). In this article, a new NHPP model based on the Lindley distribution is proposed. The mathematical formulas for its measures of reliability are obtained and graphically illustrated. The proposed model’s parameters are estimated using both the NLSE (nonlinear least squares estimation) and the WNLSE (weighted nonlinear least
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19

Semenenko, Oleg, Maryna Sliusarenko, Tatyana Akinina, Roman Legkohod, and Oleksandr Paiuk. "ASSESSMENT OF COMPLIANCE OF MATHEMATICAL MODEL OF RELIABILITY OF COMBAT MEANS OF ANTI-AIRCRAFT MISSILE FORCES WITH REQUIREMENTS TO MATHEMATICAL MODELS." Collection of scientific works of Odesa Military Academy, no. 15 (September 30, 2021): 144–51. http://dx.doi.org/10.37129/2313-7509.2021.15.144-151.

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The article presents a variant of the procedure for assessing the compliance of the mathematical model of the reliability of anti-aircraft missile warfare equipment with the requirements for mathematical models using the example of the Buk self-propelled fire launcher. Parameters affecting change of serviceability of self-propelled fire plant operation in conditions of combat situation are determined. The use of the Weibull distribution allows, by varying the parameter values, to increase the guarantee of the implemented self-propelled fire plant reliability indicators, stated in technical con
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Tsitsiashvili, Gurami. "Construction and Analysis of Queuing and Reliability Models Using Random Graphs." Mathematics 9, no. 19 (October 7, 2021): 2511. http://dx.doi.org/10.3390/math9192511.

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In this paper, the use of the construction of random processes on graphs allows us to expand the models of the theory of queuing and reliability by constructing. These problems are important because the emphasis on the legal component largely determines functioning of these models. The considered models are reliability and queuing. Reliability models arranged according to the modular principle and reliability networks in the form of planar graphs. The queuing models considered here are queuing networks with multi server nodes and failures, changing the parameters of the queuing system in a ran
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21

Puzanov, A. V. "Transdisciplinary models of hydraulic drives of mobile machinery." «System analysis and applied information science», no. 4 (February 6, 2019): 51–55. http://dx.doi.org/10.21122/2309-4923-2018-4-51-55.

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Modern drive engineering requires a comprehensive analysis of all work processes in hydraulic drives, solving the problems of modeling the technological processes of their production using mathematical and software tools of various physicality.The article proposes an approach to the development of hydrodrives of mobile equipment based on transdisciplinary models of instruments and control systems. These models are designed to unite in a single information space a methodical and mathematical apparatus of various physicality: mechanics, kinematic, hydromechanics, heat engineering, and methods fo
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Belostotsky, Mikhail A., та Anatoly M. Korolenok. "Совершенствование методов планирования ремонтных работ на основе анализа надежности нефтепроводной системы". SCIENCE & TECHNOLOGIES OIL AND OIL PRODUCTS PIPELINE TRANSPORTATION, № 5 (9 грудня 2021): 562–68. http://dx.doi.org/10.28999/2541-9595-2021-11-5-562-568.

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The author presents the methodology for identifying risks in operation of main oil pipelines, which can be based upon in improvement of methods for planning overhauls of the main pipelines. A method for calculating reliability indicators of the system is reviewed, including analysis of the type distributions of the system elements failures pattern. The reliability of the system is determined by purely mathematical operations on the obtained distributions. Such an approach is typical for the system (structural, mathematical) theory of reliability, the key task thereof being the transition from
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23

Kumar, Rajiv, A. K. Gupta, and M. Naveen. "Compartment Fires: BFD Curve and Mathematical Models." Journal of Applied Fire Science 17, no. 1 (January 1, 2007): 73–95. http://dx.doi.org/10.2190/af.17.1.e.

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Melcher, Thomas, and Ulrich Krause. "A Mathematical Approach to Estimate the Error During Calculating the Smoke Layer Height in Industrial Facilities." TRANSACTIONS of the VŠB – Technical University of Ostrava, Safety Engineering Series 11, no. 1 (March 1, 2016): 1–7. http://dx.doi.org/10.1515/tvsbses-2016-0001.

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Abstract Engineering based calculation procedures in fire safety science often consist of unknown or uncertain input data which are to be estimated by the engineer using appropriate and plausible assumptions. Thereby, errors in this data are induced in the calculation and thus, impact the number as well as the reliability of the results. In this paper a procedure is presented to directly quantify and consider unknown input properties in the process of calculation using distribution functions and Monte-Carlo Simulations. A sensitivity analysis reveals the properties which have a major impact on
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Nikulina, E., V. Severin, and D. Lukinova. "Mathematical Models for Investigation of WWER-1000/320 Transients." Nuclear and Radiation Safety, no. 1(77) (February 19, 2018): 18–23. http://dx.doi.org/10.32918/nrs.2018.1(77).03.

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The paper presents mathematical models of the reactor WWER-1000/320, which are designed to investigate non-stationary operating modes of the reactor. The models in relative state variables include a point model of neutron kinetics with six groups of delayed neutrons and models of thermal processes, gradual heat generation, change in xenon concentration. The effects of reactivity on the movement of control rods and changes in reactor power, the effects of reactivity on changes in fuel and coolant temperatures, effect of change in the concentration of xenon are taken into account. The values of
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26

INOUE, SHINJI, SHIHO HAYASHIDA, and SHIGERU YAMADA. "EXTENDED HAZARD RATE MODELS FOR SOFTWARE RELIABILITY ASSESSMENT WITH EFFECT AT CHANGE-POINT." International Journal of Reliability, Quality and Safety Engineering 20, no. 02 (April 2013): 1350009. http://dx.doi.org/10.1142/s0218539313500095.

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A software hazard rate model is known as one of the important and useful mathematical models for describing the software failure occurrence phenomenon observed in a testing phase. It is difficult to say that the testing environment always constant during a testing phase due to changing the specification and fault target and so forth. Therefore, taking into consideration of the effect of the change in software reliability growth modeling is expected to conduct more accurate software reliability assessment. In this paper, we develop extended software hazard rate models based on well-known Jelins
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Lukianchuk, Vadim, Boris Lanetskii, Hennadii Khudov, Ivan Terebuha, Oleksii Zvieriev, Oleh Shknai, Denys Zapara, Serhii Petruk, Valentyn Dyptan, and Oleksandr Piavchuk. "Development of an experimental-estimation method for estimating indices of residual life of a radio technical complex." Eastern-European Journal of Enterprise Technologies 3, no. 9(111) (June 30, 2021): 27–39. http://dx.doi.org/10.15587/1729-4061.2021.233538.

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To implement the operation of a radio technical complex according to its technical condition, it is necessary to jointly evaluate its reliability and residual life indices with required accuracy and reliability and minimization of the scope of special tests. The known methods are focused on separate solutions to the problems of estimating these indices as applied to the regulated strategy. To solve this problem, general provisions have been developed for estimating the indices of residual life of the radio technical complex including the accepted assumptions and limitations for developing the
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PADBERG, FRANK. "MAXIMUM LIKELIHOOD ESTIMATES FOR THE HYPERGEOMETRIC SOFTWARE RELIABILITY MODEL." International Journal of Reliability, Quality and Safety Engineering 10, no. 01 (March 2003): 41–53. http://dx.doi.org/10.1142/s0218539303000981.

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We present a fast and exact novel algorithm to compute maximum likelihood estimates for the number of defects initially contained in a software, using the hypergeometric software reliability model. The algorithm is based on a rigorous and comprehensive mathematical analysis of the growth behavior of the likelihood function for the hypergeometric model. We also study a numerical example taken from the literature and compare the estimate obtained in the hypergeometric model with the estimates obtained in other reliability models. The hypergeometric estimate is highly accurate.
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BROGGI, MATTEO, ADRIANO CALVI, and GERHART I. SCHUËLLER. "RELIABILITY ASSESSMENT OF AXIALLY COMPRESSED COMPOSITE CYLINDRICAL SHELLS WITH RANDOM IMPERFECTIONS." International Journal of Structural Stability and Dynamics 11, no. 02 (April 2011): 215–36. http://dx.doi.org/10.1142/s0219455411004063.

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Cylindrical shells under axial compression are susceptible to buckling and hence require the development of enhanced underlying mathematical models in order to accurately predict the buckling load. Imperfections of the geometry of the cylinders may cause a drastic decrease of the buckling load and give rise to the need of advanced techniques in order to consider these imperfections in a buckling analysis. A deterministic buckling analysis is based on the use of the so-called knockdown factors, which specifies the reduction of the buckling load of the perfect shell in order to account for the i
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Poliakov, Andriy, Volodymyr Kryvtsun, Maksym Kalenyk, and Viacheslav Nagachevskyi. "A formalized representation of exponential models of the main indicators of reliability, the limitations of their use for the characteristics of engineering weapons." Journal of Mechanical Engineering and Transport 12, no. 2 (February 2021): 100–105. http://dx.doi.org/10.31649/2413-4503-2020-12-2-100-105.

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The article deals with the solution of a scientific and applied problem to study the possibility of using existing exponential models to determine the reliability indicators of engineering weapons. Exponential models are widely used to assess the reliability of objects, mainly consisting of radio electronic elements, which led to their mass distribution in the aviation industry, air defense facilities, etc. Experimental operation of typical samples of military road-building equipment and experimental studies of the operating time of the main blocks and assemblies of engineering weapons show th
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Kulyk, Mykola, Olexiy Kucher, and Vladimir Miltsov. "MATHEMATICAL MODELS OF THE CALCULATION OF AIRCRAFT STRUCTURAL RELIABILITY / ORLAIVIŲ KONSTRUKCINIŲ ELEMENTŲ STIPRUMO PATIKIMUMO SAVYBIŲ SKAIČIAVIMO MATEMATINIAI MODELIAI." Aviation 15, no. 1 (April 14, 2011): 11–20. http://dx.doi.org/10.3846/16487788.2011.566315.

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The mathematical models of damageability under static and cyclic loadings are investigated. The parameters of damageability and endurance are considered necessary for the calculation of long-term durability wear and low-cycle and high-cycle fatigue, thermo-cyclic endurance and deformation as well as general models, taking into account multi-axis and multicomponent loads. The models of damageability at loading range, the probabilistic models of endurance and accumulation of damage at random influence are given. Probabilistic criteria for service life estimation and their connection with accumul
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Milani, Abbas S., and James A. Nemes. "On Identification of Material Models When Nonrepeatability of Test Data is Present: Application to Textile Composites." Journal of Engineering Materials and Technology 126, no. 4 (October 1, 2004): 443–49. http://dx.doi.org/10.1115/1.1789963.

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Engineering test data occasionally violate assumptions underlying standard material model identification. Consequently, one has to apply appropriate remedies with respect to each violation to enhance the reliability of identified material parameters. This paper generalizes the use of the signal-to-noise weighting scheme when heteroscedasticity of test data are suspected. Different mathematical and practical aspects of the approach are discussed. Additionally, the ensuing weighted identification process is simplified to an equivalent standard form by means of a space transformation. Finally, th
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Catelani, Marcantonio, Lorenzo Ciani, Giulia Guidi, Gabriele Patrizi, and Diego Galar. "Estimate the useful life for a heating, ventilation, and air conditioning system on a high-speed train using failure models." ACTA IMEKO 10, no. 3 (September 30, 2021): 100. http://dx.doi.org/10.21014/acta_imeko.v10i3.1058.

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<p class="Abstract">Heating, ventilation, and air conditioning (HVAC) is a widely used system used to guarantee an acceptable level of occupancy comfort, to maintain good indoor air quality, and to minimize system costs and energy requirements. If failure data coming from company database are not available, then a reliability prediction based on failure rate model and handbook data must be carried out. Performing a reliability prediction provides an awareness of potential equipment degradation during the equipment life cycle. Otherwise, if field data regarding the component failures are
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Kong, Gangqiang, Hanlong Liu, Qing Yang, Robert Y. Liang, and Hang Zhou. "Mathematical Model and Analysis of Negative Skin Friction of Pile Group in Consolidating Soil." Mathematical Problems in Engineering 2013 (2013): 1–11. http://dx.doi.org/10.1155/2013/956076.

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In order to calculate negative skin friction (NSF) of pile group embedded in a consolidating soil, the dragload calculating formulas of single pile were established by considering Davis one-dimensional nonlinear consolidation soils settlement and hyperbolic load-transfer of pile-soil interface. Based on effective influence area theory, a simple semiempirical mathematical model of analysis for predicting the group effect of pile group under dragload was described. The accuracy and reliability of mathematical models built in this paper were verified by practical engineering comparative analysis.
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Lyapichev, Yury P., Guido Mazza, Enrique Mateu, Gerald Zenz, and Alain J. Carrère. "Reliability and applicability of modern numerical analyses of dams." Structural Mechanics of Engineering Constructions and Buildings 15, no. 6 (December 15, 2019): 458–69. http://dx.doi.org/10.22363/1815-5235-2019-15-6-458-469.

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Relevance. At present the application of numerical analyses to real problems of dam engineering has suffered at times from the gaps between the specialists of mathematical modeling and dam engineers and managers. The first group usually includes information system specialists because they are able to develop the computer models to their full potential. The professionals belonging to the second group often prefer to revert to traditional methods of calculation and empirical methods based on their proven experience. The aim of the work - based on recommendations of International workshops semina
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Мaidaniuk, V. "Analysis of problems of small-angle approximation in mathematical models of projectile flight." Military Technical Collection, no. 27 (November 30, 2022): 19–26. http://dx.doi.org/10.33577/2312-4458.27.2022.19-26.

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The article deals with the topical issue of developing mathematical models of projectile flight, which accurately describe the projectile motion in the air. It is shown that the nature of the mathematical models presentation varies depending on the required reliability degree of the real physical projectile flight process representation by the mathematical model, the adequate consideration of certain forces (moments) acting on the projectile, as well as the level of information about the external flight conditions which include the parameters of the air in which the projectile moves.At the sam
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Zambon, Ivan, Anja Vidović, and Alfred Strauss. "Reliability of Existing Concrete Structures Determined with Physical Models - Carbonation Induced Corrosion." Solid State Phenomena 259 (May 2017): 255–60. http://dx.doi.org/10.4028/www.scientific.net/ssp.259.255.

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The main goal of transportation infrastructure management is to optimize the use of infrastructure in the most beneficiary way while respecting the predefined requirements. One of the crucial parts in management strategy is the prediction of behaviour of vital transportation elements. Used prediction models should accurately describe the process of degradation and allow forecasting of structural condition by considering environment, usage and maintenance actions. Deterioration models can be divided into mathematical (statistical), physical and empirical models. Statistical models are based on
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Lyashenko, B. A., Z. A. Stotsko, O. A. Kuzin, M. O. Kuzin, and V. A. Mechnik. "Analysis of friction interaction and optimisation of detail surface hardening technologies using non-local mathematical models." Journal of Achievements in Materials and Manufacturing Engineering 1, no. 100 (May 1, 2020): 20–25. http://dx.doi.org/10.5604/01.3001.0014.1960.

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Purpose: The aim of the work is to build physically sound engineering and design schemes that take into account the behaviour of polycrystalline metal systems under intense loads and allow optimization of surface treatment technologies to increase the operational reliability parameters of products. Design/methodology/approach: Using the approaches of thermodynamics, a methodological scheme is proposed, on the basis of which it is possible to optimize surface engineering technologies to increase the contact durability of details. Findings: It was found that the maximum increase in the durabilit
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Igi, Tomislav S., and Natasa Ž. Veljkovi. "Design of a System for Monitoring Reliability of Structures and Constructions in Civil Engineering." International Journal of Engineering Pedagogy (iJEP) 1, no. 2 (June 30, 2011): 19. http://dx.doi.org/10.3991/ijep.v1i2.1634.

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<span style="font-family: "Times New Roman"; font-size: 10pt; mso-fareast-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;" lang="EN-US">Monitoring of civil engineering structures and constructions requires techniques which can produce high precision and accuracy, reliable measurements and fast processing speed. The development of information and communication systems as well as of microprocessor controllers has enabled a creation of monitoring systems that can be used for tracking reliability of structures
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Pollard, P. C., E. v. Münch, P. A. Lant, and P. F. Greenfield. "The impact of microbiological tools on mathematical modelling of biological wastewater treatment." Water Science and Technology 36, no. 10 (November 1, 1997): 97–108. http://dx.doi.org/10.2166/wst.1997.0368.

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Biological systems are being used to treat an increasing range of complex wastes; domestic and industrial wastewaters containing nutrients and refractory organic compounds, soil sites and groundwater contaminated by organics, and organic solid residues. These treatment processes rely on micro-organisms and, more than ever before, must deliver higher quality outcomes at higher levels of reliability to protect the environment. At the same time, pressures to deliver cost-effective treatment have increased. The challenge for these biological treatment technologies and the associated engineering is
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Rapatskiy, Yurii, and Victoria Lipka. "APPLICATION OF THE SEMI-MARKOV MODEL FOR INVESTIGATION THE PARAMETERS OF MECHANICAL ASSEMBLY PRODUCTION TAKING INTO ACCOUNT DIFFERENT TYPES OF FAILURES." Voronezh Scientific-Technical Bulletin 3, no. 3 (February 2, 2022): 52–64. http://dx.doi.org/10.34220/2311-8873-2022-52-64.

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A technique is proposed for studying the productivity and reliability of technological processes of mechanical assembly production at the stages of the life cycle of mechanical engineering products. A semi-Markov mathematical model is proposed that makes it possible to analyze, for example, the technological processes of manufacturing threaded connections. In the proposed model, the distribution functions (DF) of the service time of a unit of production are determined, taking into account failures. FDs make it possible to ensure informational consistency of models of various hierarchical level
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Iqbal, Muhammad Zafar, Muhammad Zeshan Arshad, Gamze Özel, and Oluwafemi Samson Balogun. "A better approach to discuss medical science and engineering data with a modified Lehmann Type – II model." F1000Research 10 (August 17, 2021): 823. http://dx.doi.org/10.12688/f1000research.54305.1.

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Background: Modeling with the complex random phenomena that are frequently observed in reliability engineering, hydrology, ecology, medical science, and agricultural sciences was once thought to be an enigma. Scientists and practitioners agree that an appropriate but simple model is the best choice for this investigation. To address these issues, scientists have previously discussed a variety of bounded and unbounded, simple to complex lifetime models. Methods: We discussed a modified Lehmann type II (ML-II) model as a better approach to modeling bathtub-shaped and asymmetric random phenomena.
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Popovych, P. V., Volodymyr Dzyura, and O. S. Shevchuk. "Reliability Estimation of Transport Means Elements Under the Action of Cyclic Loads and Corrosive Environment." International Journal of Automotive and Mechanical Engineering 15, no. 4 (December 24, 2018): 5793–802. http://dx.doi.org/10.15282/ijame.15.4.2018.6.0443.

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The approach for determining the residual life of the vehicles’ thin-walled metal elements with cracks under the action of cyclic loads and corrosive environment is developed based on the first law of thermodynamics and the fracture mechanics principles. Based on the results of the mathematical description of electrochemical reactions and separate data of fracture mechanics, the equation describing the kinetics of the corrosion-fatigue cracks propagation is deduced. This equation and the initial and final conditions are a mathematical model for determining the residual life of structural eleme
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Zhdanov, Alexey A., Oleg A. Kursin, and Pham Xuan Bach. "The mathematical models for cutting force calculation during structural and corrosion-resistant steels` parts processing." MATEC Web of Conferences 298 (2019): 00099. http://dx.doi.org/10.1051/matecconf/201929800099.

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The paper shows that conventional mathematical models for calculating the cutting force components during the turning process, represented in reference guides on engineering, give drastic errors reaching 100 percent or more for various tool-workpiece couples. These errors interfere with applying reference values of the cutting force for any further calculations, equipment selection, workpiece positioning scheme, workpiece deformation value due to the elastic of the technological system elements during processing and etc., because of the insufficient reliability of the results of such calculati
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Sharma, Shivom, Iftekhar A. Karimi, Shamsuzzaman Farooq, Lakshminarayanan Samavedham, and Rajagopalan Srinivasan. "Health Monitoring of Pressure Regulating Stations in Gas Distribution Networks Using Mathematical Models." Energies 15, no. 17 (August 28, 2022): 6264. http://dx.doi.org/10.3390/en15176264.

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Many cities have extensive distribution networks that supply natural or town gas to domestic, industrial, and power plant consumers. A typical network may have hundreds of pressure regulating stations that are of different types and capacities, but most legacy networks are sparsely instrumented. The reliability of these stations is the first priority for ensuring uninterrupted gas supplies; hence, condition monitoring and prescriptive maintenance are critical. In this study, mathematical models were developed for two types of commonly used regulators: spring-loaded and lever-type regulators. W
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Wang, Zi Bo. "Optimization Design of PV/ Wind Hybrid System Considering Power Supply Reliability." Advanced Materials Research 805-806 (September 2013): 293–98. http://dx.doi.org/10.4028/www.scientific.net/amr.805-806.293.

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In order to give full play to PV/Wind hybrid system, a mathematic model of optimization design considering power supply reliability is proposed in this paper. Firstly, the structure of PV/Wind hybrid system is given, so are the mathematical models of wind generators, PV modulesand batteries are. Then,the mathematic model of optimization design is determined: in the case of meeting the power supply reliability, an objective function is constructed to minimize the total costs of system investment costs, operation and maintenance costs and system power loss cost, which are limited by realistic co
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Wang, Song, Chuan Gui Yang, Fei Chen, Zhao Jun Yang, Zhuang Tan, and Guang Zhu. "Research on Modeling and Parameter Identification of Electro-Hydraulic Servo Loading System." Advanced Materials Research 889-890 (February 2014): 970–77. http://dx.doi.org/10.4028/www.scientific.net/amr.889-890.970.

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In order to improve the mathematical models accuracy of the electro-hydraulic servo loading system from the high-speed motorized spindle reliability test bench. This paper establishes the mathematical model based on the dynamic characteristics of the test bench, then establishes discrete mathematical model of the system based on the Z-transform, and finally uses particle swarm optimization (PSO) algorithm to identify the parameters of the discrete model. Additionally, the least square method is applied to identify the parameters of the model for measuring the PSO algorithm parameter identifica
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Kalanta, Stanislovas. "DUAL MATHEMATICAL MODELS OF LIMIT LOAD ANALYSIS PROBLEMS OF STRUCTURES BY MIXED FINITE ELEMENTS." JOURNAL OF CIVIL ENGINEERING AND MANAGEMENT 3, no. 10 (June 30, 1997): 43–51. http://dx.doi.org/10.3846/13921525.1997.10531683.

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The general and discrete dual mathematical models of the limit load analysis and optimization problems of rigid-plastic body are created in the article. The discrete models are formulated by mixed finite elements and presented in terms of kinematic and static formulation. In these models the velocity of the energy dissipation is estimated not only within the volume of finite elements, but also at the plastic surfaces between elements, where the discontinuities of displacement velocities functions appear. The theory of plastic flow, the theory of duality and mathematical programming are applied
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Biegańska, Jolanta, and Krzysztof Barański. "Experiments with Pyrotechnic Compositions Based on a Mathematical Model—Part I Evaluation of the Applicability of Mathematical Models in Developing Pyrotechnic Compositions Producing an Acoustic Effect." Energies 14, no. 24 (December 18, 2021): 8548. http://dx.doi.org/10.3390/en14248548.

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This paper presents research on the development of pyrotechnic compositions producing an acoustic effect. These types of compositions are used in firecrackers to imitate a cannon shot—they are most frequently used during military exercises. The research was based on a mathematical model of an experiment. For environmental reasons, the replacement of the harmful oxidant Ba(NO3)2 by KClO4 and NH4ClO4 was modelled. The compositions were tested for reliability and evaluated in terms of friction sensitivity and burning rate. This allowed for the verification of the effectiveness of the modelling ca
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Hu, Jiqiang, Chunming Ji, Shuai Chen, Shuai Li, Bing Wang, and Zhengong Zhou. "Novel Mathematical-Statistical Models for the Distribution of Fatigue Life and Residual Strength for Fiber Reinforced Polymer Composites." International Journal of Applied Mechanics 12, no. 09 (November 2020): 2050104. http://dx.doi.org/10.1142/s1758825120501045.

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For the distribution prediction of fatigue life and residual strength of fiber reinforced polymer composites, the existing models have the disadvantages of imprecision, instability and single applicability. A novel S–N curve model and a residual strength degradation model were first developed, which are independent and uncorrelated. After verifying their reliability, the statistical distribution models of fatigue life and residual strength were further derived and verified by using experimental data from literature. Compared with the other models, the proposed models can perfectly predict the
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