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1

Koduru, Smitha D., and Terje Haukaas. "Uncertain reliability index in finite element reliability analysis." International Journal of Reliability and Safety 1, no. 1/2 (2006): 77. http://dx.doi.org/10.1504/ijrs.2006.010691.

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2

Sharifi, Mani, Ehsan Hashemi, and Peyman Farahpour. "Real Time Reliability Study of a Model with Increasing Failure Rates." Applied Mechanics and Materials 110-116 (October 2011): 2774–79. http://dx.doi.org/10.4028/www.scientific.net/amm.110-116.2774.

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This paper deals with a system with elements with one element is the main element and the other elements are the spare parts of the main element. If one element fails, one of the spare parts starts working immediately. The failure rate of non working elements are zero and the failure rate of working element is time dependent as and the failed elements are not repairable. The system works until all elements failed. In the second part of this paper the differential equations between the state of the system are established and by solving this equation the reliability function of the system () is
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3

Sventikov, A. A. "Assessment of the Reliability of Steel Trusses as Multi-element Systems According to the Strength Criterion." Russian Journal of Building Construction and Architecture, no. 3(67) (July 11, 2025): 16–25. https://doi.org/10.36622/2542-0526.2025.67.3.002.

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Statement of the problem. The problem of assessing the reliability of steel trusses as multi-element systems according to the strength criterion is considered. Results. It is proposed to estimate the probability of destruction of an individual rod using the two-moment method. To assess the reliability of trusses as multi-element systems, chains of main elements are distinguished in them. The proposed technique is illustrated by the example of considering a planar shape. At the same time, the results of the reliability assessment for a single element, as a system of sequentially connected eleme
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4

Chen, Gang, and Xu Chen. "Finite element analysis of fleXBGA reliability." Soldering & Surface Mount Technology 18, no. 2 (2006): 46–53. http://dx.doi.org/10.1108/09540910610665134.

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Der Kiureghian, Armen, and Yan Zhang. "Space-variant finite element reliability analysis." Computer Methods in Applied Mechanics and Engineering 168, no. 1-4 (1999): 173–83. http://dx.doi.org/10.1016/s0045-7825(98)00139-x.

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6

Szabó, B. A. "On reliability in finite element computations." Computers & Structures 39, no. 6 (1991): 729–34. http://dx.doi.org/10.1016/0045-7949(91)90216-9.

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7

MacNeal, Richard H. "The reliability of finite element tools." Finite Elements in Analysis and Design 2, no. 3 (1986): 249–57. http://dx.doi.org/10.1016/0168-874x(86)90029-6.

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8

Sudret, Bruno, and Armen Der Kiureghian. "Comparison of finite element reliability methods." Probabilistic Engineering Mechanics 17, no. 4 (2002): 337–48. http://dx.doi.org/10.1016/s0266-8920(02)00031-0.

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9

Followell, David, Salvatore Liguore, Rigo Perez, W. Yates, and William Bocchi. "Computer-Aided Reliability Finite Element Methods." Journal of the IEST 34, no. 5 (1991): 46–52. http://dx.doi.org/10.17764/jiet.2.34.5.9720337614871186.

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Finite element analyses (FEA) have emerged as a process for assessing stresses and strains in electronic equipment in order to compute the expected structural life. However, potential pitfalls may compromise accuracy. Guidelines have been established to improve the accuracy of these results. A method has been outlined that allows simplified linear FEAs to be used instead of the more complex elastic-plastic nonlinear FEA. Guidelines for mesh generation have been established to eliminate arithmetic errors caused when materials with large stiffness differences are adjacent to each other. The accu
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10

Gong, Zheng Xi, and Jian Guo Yang. "Fuzzy Matter-Element Evaluation Method for Reliability Analysis of an Existing Highway Tunnel." Advanced Materials Research 163-167 (December 2010): 3110–13. http://dx.doi.org/10.4028/www.scientific.net/amr.163-167.3110.

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Reliability analysis is the premise for reinforcement and maintenance of an existing highway tunnel. In order to understand the structure reliability of an existing highway tunnel, a fuzzy mat-ter-element evaluation method was put forward based on entropy weight according to the fuzzy matter-element analysis method. Firstly, levels of inspection results were regarded as objects of matter-element and composite fuzzy matter-elements were constructed considering such factors and their evaluation indexes as cracks of concrete lining, lining thickness, concrete strength, cavities behind the lining
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11

Volkov, Vladimir S. "Improving the reliability of transport vehicles based on element-by-element analysis." Nexo Revista Científica 34, no. 01 (2021): 514–33. http://dx.doi.org/10.5377/nexo.v34i01.11328.

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The author considers two approaches to solving the problem of increasing the reliability of machine-building products: on the spot, at the enterprises that operate transport vehicles, via certain modifications of serial products, and at manufacturing sites, during production of subsequent products, via improving the design on the basis of operation data of the analogues. In this case, data collection and processing system should provide reliable data on failures and cases of non-serviceable condition of the machines operating under different conditions; prompt processing of statistical data an
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12

An, Hai, Wei Guang An, and Yong Yi Zhang. "The Influence of Stiffness Decay on Fatigue Reliability of Truss System." Key Engineering Materials 385-387 (July 2008): 325–28. http://dx.doi.org/10.4028/www.scientific.net/kem.385-387.325.

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Physical properties of element are very complex under fatigue loads.The structural system consisted of elements is not a simple topological structure,which the change of its physical properties is more complex.In order to analyze quantitatively the structural stiffness reliability of different design life,it is important to establish the accurate formula of physical properties decrease. In this paper, the formula of elements’ elastic modulus decrease is deduced by using damage mechanics theory combining with the model of residual strength of element. Moreover, stiffness reliability index of co
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13

Pavlov, I. V., and L. K. Gordeev. "Reliability Interval Estimation for a System Model with Element Duplication in Different Subsystems." Herald of the Bauman Moscow State Technical University. Series Natural Sciences, no. 5 (92) (October 2020): 4–13. http://dx.doi.org/10.18698/1812-3368-2020-5-4-13.

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The problem was considered of estimating reliability for a complex system model with element duplication of various subsystems and ensuring possibility of additional redundancy in a more flexible dynamic (or 'sliding') mode in each of the subsystems, which significantly increases reliability of the system in general. For the system considered, general model and analytical expressions were obtained in regard to the main reliability indicators, i.e., probability of the system failure-free operation (reliability function) for a given time and mean time of the system failure-free operation. On the
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14

Gallimard, L. "Error bounds for the reliability index in finite element reliability analysis." International Journal for Numerical Methods in Engineering 87, no. 8 (2011): 781–94. http://dx.doi.org/10.1002/nme.3136.

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15

Kun, Chen Chong, Liu Yan, Wang Zhao Jun, Zhao Ji Fang, and Wang Meng. "Simulation design of reliability improvement of metal hose for rocket engine." Journal of Physics: Conference Series 2256, no. 1 (2022): 012002. http://dx.doi.org/10.1088/1742-6596/2256/1/012002.

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Abstract Facing the new challenges of high-density space launches in the later period, this paper studies the numerical simulation of the metal hose used in the new generation of launch vehicle models to improve the reliability of the metal hose. Through the calculation of bellows with different elements, it is found that the calculation results of shell element and solid element are similar, and the calculation efficiency of shell element is much higher than that of solid element. Finally, it is established that the SHELL181 is used for the finite element calculation of the bellows. Based on
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16

Ulbrich, Dariusz, Jaroslaw Selech, Jakub Kowalczyk, et al. "Reliability Analysis for Unrepairable Automotive Components." Materials 14, no. 22 (2021): 7014. http://dx.doi.org/10.3390/ma14227014.

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The analysis of the reliability parameters of a technical object and the determination of the change in the reliability of the object over time, requires the knowledge of the functional characteristics and reliability parameters of the elements included in a system. On the basis of the failure data of the selected element of the object, in this case the vehicle, it is possible to determine the average working time to failure of the element and the appropriate form of distribution that characterizes the reliability and durability parameters of the tested element. The main purpose of the researc
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17

Gladilin, Valeriy, Tatiana Siroshtan, Irina Gamalij, Nataliia Shudra, and Petro Chulanov. "CONSTRUCTION OF GEODESIC NETWORKS ON THE BASIS OF THE THEORY OF MARKOV ACCIDENTAL PROCESSES AND THE THEORY OF RELIABILITY." Urban development and spatial planning, no. 80 (May 30, 2022): 115–30. http://dx.doi.org/10.32347/2076-815x.2022.80.115-130.

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As mentioned above, the theory of reliability was mainly developed for technical devices. However, nowadays it is widely used in construction, and is also beginning to be used in geodesy. By abstracting its position can be successfully transferred to systems that do not seem to be in a dynamic state. Take, for example, the polygon metric network in the city. It would seem that such a network is in a static state, but over time it undergoes changes, ie it is in subtle dynamics and its reliability is gradually declining.
 Reliability in the broadest sense of the word means the ability of a
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18

Huang, Xi Yong, and M. H. Aliabadi. "A Boundary Element Method for Structural Reliability." Key Engineering Materials 627 (September 2014): 453–56. http://dx.doi.org/10.4028/www.scientific.net/kem.627.453.

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In this paper a sensitivity formulation using the Boundary Element Method (BEM) is presentedfor analysis of structural reliability problems. The sensitivity formulation is based on implicit differentiation method where the first and second order derivatives of the random variables are obtained directly by differentiation of the discretised boundary integral equation. The structural reliability is assessed using the Monte Carlo Method and FORM with BEM sensitivity parameters. A benchmark example is presented to demonstrate the accuracy and efficiency of the BEM for both Monte Carlo and Sensitiv
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19

Koval, D. O., and H. L. Floyd. "Human element factors affecting reliability and safety." IEEE Transactions on Industry Applications 34, no. 2 (1998): 406–14. http://dx.doi.org/10.1109/28.663487.

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20

Mohammadi,, Jamshid. "Reliability Assessment Using Stochastic Finite Element Analysis." Journal of Structural Engineering 127, no. 8 (2001): 976–77. http://dx.doi.org/10.1061/(asce)0733-9445(2001)127:8(976.2).

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21

Mo, Wen Hui. "Reliability Calculation and Perturbation Stochastic Finite Element." Applied Mechanics and Materials 155-156 (February 2012): 570–73. http://dx.doi.org/10.4028/www.scientific.net/amm.155-156.570.

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This paper proposes a method of calculating reliability using perturbation stochastic finite element. The mean and variance of the stress can be computed by the perturbation stochastic finite element. Computer program is used to generate samples of stress and strength. If the stress is greater than the strength, the structure will fail. The Monte Carlo simulation is proposed to compute structural reliability. Reliability calculation using the Monte Carlo simulation is developed. A numerical example demonstrates the proposed method is feasible.
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22

Tan, Xiao-hui, and Jian-guo Wang. "Finite element reliability analysis of slope stability." Journal of Zhejiang University-SCIENCE A 10, no. 5 (2009): 645–52. http://dx.doi.org/10.1631/jzus.a0820542.

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23

Frangopol, Dan M., Yong-Hak Lee, and Kaspar J. Willam. "Nonlinear Finite Element Reliability Analysis of Concrete." Journal of Engineering Mechanics 122, no. 12 (1996): 1174–82. http://dx.doi.org/10.1061/(asce)0733-9399(1996)122:12(1174).

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24

Harkness, H. H., T. Belytschko, and W. K. Liu. "Finite element reliability analysis of fatigue life." Nuclear Engineering and Design 133, no. 2 (1992): 209–24. http://dx.doi.org/10.1016/0029-5493(92)90181-t.

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25

Lee, J. C., and A. H. S. Ang. "Finite element fracture reliability of stochastic structures." Structural Engineering and Mechanics 3, no. 1 (1995): 1–10. http://dx.doi.org/10.12989/sem.1995.3.1.001.

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26

Aldosary, Muhannad, Jinsheng Wang, and Chenfeng Li. "Structural reliability and stochastic finite element methods." Engineering Computations 35, no. 6 (2018): 2165–214. http://dx.doi.org/10.1108/ec-04-2018-0157.

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Purpose This paper aims to provide a comprehensive review of uncertainty quantification methods supported by evidence-based comparison studies. Uncertainties are widely encountered in engineering practice, arising from such diverse sources as heterogeneity of materials, variability in measurement, lack of data and ambiguity in knowledge. Academia and industries have long been researching for uncertainty quantification (UQ) methods to quantitatively account for the effects of various input uncertainties on the system response. Despite the rich literature of relevant research, UQ is not an easy
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27

Kumar, Akshay, and S. B. Singh. "Signature reliability of linear multi-state sliding window system." International Journal of Quality & Reliability Management 35, no. 10 (2018): 2403–13. http://dx.doi.org/10.1108/ijqrm-04-2017-0083.

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Purpose The purpose of this paper is to deal with a linear multi-state sliding window coherent system which generalizes the consecutive k-out-of-r-from-n:F system in the multi-state case. The system has n linearly ordered multi-state elements consisting of m parallel independent and identically distributed elements. Every element of the system can have two states: completely working or totally failed. The system fails if the sum of performance rate is lower than the given weight. Design/methodology/approach The authors proposed to compute the signature, MTTF and Barlow–Proschan index with the
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28

Yusmye, A. Y. N., B. Y. Goh, and A. K. Ariffin. "Structural Reliability Analysis Using Fuzzy Finite Element Method." Applied Mechanics and Materials 471 (December 2013): 306–12. http://dx.doi.org/10.4028/www.scientific.net/amm.471.306.

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The main requirement in designing a structure is to ensure the structure is reliable enough to withstand loading and the reliability study of structure. Classical and probability approach was introduced to analyse structural reliability. However, the approaches stated above are unable to take into account and counter the uncertainties arising from the natural of geometry, material properties and loading. This leads to the reduction in accuracy of the result. The goal of this study is to assess and determine the reliability of structures by taking into consideration of the epistemic uncertainti
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29

Ortiz, JO, German R. Betancur, J. Gómez, Leonel F. Castañeda, G. Zaja̧c, and RE Gutiérrez-Carvajal. "Detection of structural damage and estimation of reliability using a multidimensional monitoring approach." Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit 232, no. 4 (2017): 1021–32. http://dx.doi.org/10.1177/0954409717707122.

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Many structural elements are exposed to load conditions that are difficult to model during the design phase, such as environmental uncertainties, random impacts, and overloading, amongst others, thus increasing unprogrammed maintenance and reducing confidence in the reliability of the structure in question. One way to deal with this problem is to monitor the structural condition of the element. This approach requires supervising several signals coming from critical locations and then performing an accurate condition estimation of the element in question based on the data collected. This study
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30

LEVITIN, GREGORY. "OPTIMAL ALLOCATION OF MULTISTATE ELEMENTS IN LINEAR CONSECUTIVELY-CONNECTED SYSTEMS WITH DELAYS." International Journal of Reliability, Quality and Safety Engineering 09, no. 01 (2002): 89–108. http://dx.doi.org/10.1142/s0218539302000688.

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A linear consecutively-connected system consists of N + 2 linear ordered positions. The first position contains a source of a signal and the last one contains a receiver. M statistically independent multistate elements (retransmitters) with different characteristics are to be allocated at the N intermediate positions. The elements provide retransmission of the received signal to the next few positions. Each element can have different states determined by a number of positions that are reached by the signal generated by this element. The probability of each state for any given element depends o
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31

Pei, Yanhu, Zhifeng Liu, Jingjing Xu, Baobao Qi, and Qiang Cheng. "Grouping Preventive Maintenance Strategy of Flexible Manufacturing Systems and Its Optimization Based on Reliability and Cost." Machines 11, no. 1 (2023): 74. http://dx.doi.org/10.3390/machines11010074.

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A flexible manufacturing system (FMS) improves productivity and makes it more efficient. Maintaining reliability levels and reducing costs through proper maintenance strategies are key problems for the development and application of a FMS. This paper proposes a grouping preventive maintenance strategy of a FMS with optimized parameters by considering both reliability and cost. In this work, a three-layer evaluation index system is first presented to accurately estimate the reliability of the FMS; index weights of each layer were obtained by reliability importance modeling and analysis, conside
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32

Mo, Wen Hui. "Dynamic Reliability Based on Perturbation Stochastic Finite Element." Applied Mechanics and Materials 155-156 (February 2012): 47–50. http://dx.doi.org/10.4028/www.scientific.net/amm.155-156.47.

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This paper proposes a method of calculating dynamic reliability using perturbation stochastic finite element. Dynamic analysis of perturbation stochastic finite element is introduced and the mean and variance of the stress can be obtained. Samples of stress and strength are generated by computer program. The Monte Carlo simulation is proposed to compute dynamic reliability of structure. Dynamic reliability of structure is computed by the stress-strength interference model. The proposed methods are demonstrated by a numerical example of axle.
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33

Zhang, Da Qian, Xin Ping Fu, and Xiao Dong Tan. "Structural Reliability Analysis for UAV Center Wing Based on Stochastic Finite Element." Applied Mechanics and Materials 684 (October 2014): 208–12. http://dx.doi.org/10.4028/www.scientific.net/amm.684.208.

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In general it is difficult to obtain the results directly during process of structural reliability designing because of the complexity of the structure. It can calculate the structure reliability and failure probability effectively according to the combination of finite element method and theory of reliability. This paper introduces a method of structure reliability based on finite element method, summarizes a common method which has an important engineering application value to calculate the reliability such as using Monte-Carlo method to calculate reliability analysis combining with finite e
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34

Strutsky, N. V., and V. N. Romaniuk. "Algorithm for Calculating Reliability of Single Linear Section of Steel Underground Pipeline." Science & Technique 22, no. 6 (2023): 519–29. http://dx.doi.org/10.21122/2227-1031-2023-22-6-519-529.

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One of the most widespread technical systems in the world is underground steel pipeline communications (heat pipelines, main and distribution oil and gas pipelines, etc.). Accordingly, reliability assessment of such technical systems and their components is of great theoretical and practical interest. At the modern level of development, reliability calculation has become a mandatory stage in the design and diagnostics (during operation) of any technical systems in ge-neral, and in particular pipeline systems. A reliable calculation, either explicitly or implicitly, is always based on the model
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35

Свентиков, А. А. "Оценка надежности стальных ферм как многоэлементных систем по критерию прочности". НАУЧНЫЙ ЖУРНАЛ СТРОИТЕЛЬСТВА И АРХИТЕКТУРЫ, № 4(76) (20 грудня 2024): 23–32. https://doi.org/10.36622/2541-7592.2024.76.4.002.

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Постановка задачи. Рассмотрена задача об оценке надежности стальных ферм как многоэлементных систем по критерию прочности. Результаты. Предложено оценивать вероятность разрушения отдельного стержня по методу двух моментов. Для оценки надежности ферм как многоэлементных систем в них выделяются цепочки главных элементов. Предложенная методика проиллюстрирована на примере рассмотрения плоскостной фермы, при этом сопоставлены результаты оценки надежности по отдельному элементу, как системы последовательно соединенных элементов и по предложенной методике. Выводы. Предложена методика оценки надежнос
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36

Wang, Zhi Qiang, Ke Hong Zheng, and Xiao Bin Wu. "Compressive Resistance Reliability Analysis of Gravity Dam Based on Elastic Stochastic Finite Element." Advanced Materials Research 926-930 (May 2014): 537–40. http://dx.doi.org/10.4028/www.scientific.net/amr.926-930.537.

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When calculating compressive resistance reliability of gravity dam using the elasticity stochastic finite element method, as a result of stress singularity of dam toe, elements near the dam toe has been encrypted to different mesh size, find a point along the foundation plane that its compressive resistance reliability index is not sensitive to mesh and it is nearest to the dam toe, select the compressive resistance reliability index of the point as the compressive resistance reliability index of gravity dam. Take Longtan RCC gravity dam as an example and give the analysis results.
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37

Kotes, Peter, and Josef Vican. "Mutli-element system reliability using markov chain model." Communications - Scientific letters of the University of Zilina 6, no. 3 (2004): 17–21. http://dx.doi.org/10.26552/com.c.2004.3.17-21.

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38

Lau, J. H., and L. B. Lian-Mueller. "Finite Element Modeling for Optimizing Hermetic Package Reliability." Journal of Electronic Packaging 111, no. 4 (1989): 255–60. http://dx.doi.org/10.1115/1.3226544.

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The thermal stresses in microwave packages are studied by the finite element method. Emphasis is placed on the effects of material construction and design on the reliability of very small hermetic packages. Three different microwave packages have been designed and six finite element models (two for each design) have been analyzed. To verify the validity of the finite element results, some leak tests have been performed and the results agree with the analytical conclusions. The results presented herein should provide a better understanding of the thermal behavior of hermetic packages and should
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39

Dodagoudar, G. R., and B. Shyamala. "Finite element reliability analysis of shallow foundation settlements." International Journal of Geotechnical Engineering 9, no. 3 (2014): 316–26. http://dx.doi.org/10.1179/1939787914y.0000000069.

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40

Hojjati, M. H., and A. Sadighi. "Reliability Based Finite Element Analysis of Mechanical Components." Multidiscipline Modeling in Materials and Structures 5, no. 2 (2009): 151–62. http://dx.doi.org/10.1163/157361109787959886.

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41

Sayed, Sajna, G. R. Dodagoudar, and K. Rajagopal. "Finite element reliability analysis of reinforced retaining walls." Geomechanics and Geoengineering 5, no. 3 (2010): 187–97. http://dx.doi.org/10.1080/17486020903576788.

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42

Ghanem, Roger G., and Pol D. Spanos. "Spectral Stochastic Finite‐Element Formulation for Reliability Analysis." Journal of Engineering Mechanics 117, no. 10 (1991): 2351–72. http://dx.doi.org/10.1061/(asce)0733-9399(1991)117:10(2351).

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43

Liu, Pei‐Ling, and Armen Der Kiureghian. "Finite Element Reliability of Geometrically Nonlinear Uncertain Structures." Journal of Engineering Mechanics 117, no. 8 (1991): 1806–25. http://dx.doi.org/10.1061/(asce)0733-9399(1991)117:8(1806).

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44

Sehgal, R., O. P. Gandhi, and S. Angra. "Reliability evaluation and selection of rolling element bearings." Reliability Engineering & System Safety 68, no. 1 (2000): 39–52. http://dx.doi.org/10.1016/s0951-8320(99)00081-2.

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Jensen, H. A., F. Mayorga, and C. Papadimitriou. "Reliability sensitivity analysis of stochastic finite element models." Computer Methods in Applied Mechanics and Engineering 296 (November 2015): 327–51. http://dx.doi.org/10.1016/j.cma.2015.08.007.

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Alduaij, J. A. "Reliability of structural networks by macro element idealization." Computers & Structures 52, no. 4 (1994): 789–93. http://dx.doi.org/10.1016/0045-7949(94)90360-3.

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Koduru, S. D., and T. Haukaas. "Feasibility of FORM in finite element reliability analysis." Structural Safety 32, no. 2 (2010): 145–53. http://dx.doi.org/10.1016/j.strusafe.2009.10.001.

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Der Kiureghian, Armen, and Jyh-Bin Ke. "The stochastic finite element method in structural reliability." Probabilistic Engineering Mechanics 3, no. 2 (1988): 83–91. http://dx.doi.org/10.1016/0266-8920(88)90019-7.

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Grishin, Vyacheslav, and Trong Vu. "Research methods to improve reliability of passive redundant control subsystems of aircraft with due consideration of tolerances." Vestnik of Astrakhan State Technical University. Series: Management, computer science and informatics 2020, no. 1 (2020): 18–28. http://dx.doi.org/10.24143/2072-9502-2020-1-18-28.

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Streszczenie:
The paper studies the reliability of passively redundant subsystems of aircraft, taking into account tolerances for a decrease in their output parameters in case of sudden component failures. The influence of the reliability values of elements, tolerances of two levels and the redundancy ratio 
 on the reliability of passively redundant subsystems as a whole have been investigated; the examples of such subsystems have been given. There have been presented the results of analysis 
 of the aircraft subsystems features with allowance for tolerances. First of all, these include the avail
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