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Journal articles on the topic 'Limit state method'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

Chang, Li-Hua, Hou-Ping Deng, Li-Xia Tan, and David A. Jones. "Selection of Credit Limit Methods: The Comprehensive Limit Credit Method or the Line-state Limit Credit Method." Journal of Applied Sciences 13, no. 8 (2013): 1364–69. http://dx.doi.org/10.3923/jas.2013.1364.1369.

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Farooq, Ahmad, Uman Khalid, Junaid ur Rehman, and Hyundong Shin. "Robust Quantum State Tomography Method for Quantum Sensing." Sensors 22, no. 7 (2022): 2669. http://dx.doi.org/10.3390/s22072669.

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Reliable and efficient reconstruction of pure quantum states under the processing of noisy measurement data is a vital tool in fundamental and applied quantum information sciences owing to communication, sensing, and computing. Specifically, the purity of such reconstructed quantum systems is crucial in surpassing the classical shot-noise limit and achieving the Heisenberg limit, regarding the achievable precision in quantum sensing. However, the noisy reconstruction of such resourceful sensing probes limits the quantum advantage in precise quantum sensing. For this, we formulate a pure quantu

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3

Perelmuter, Anatoly. "THE HISTORY OF THE LIMIT STATE DESIGN METHOD." International Journal for Computational Civil and Structural Engineering 17, no. 4 (2021): 134–45. http://dx.doi.org/10.22337/2587-9618-2021-17-4-134-145.

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This paper analyzes the 70-year history of development of the limit state design method (LSDM) focusing on the fundamentals of the design codes based on this method and considers proposals for improving the LSDM and its justification. It was also noted that the reaction of the system in any of its fixed states is not always sufficient to assess the reliability of the system, and therefore it is necessary to analyze the rate of loss of resistance of load-bearing structures. However, probabilistic considerations were not enough due to the lack of reliable statistical data in the area of extreme

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4

Imam Korabu. "Comparison between Limit State Method & Working Stress Method for R.C.C Structure." international journal of engineering technology and management sciences 7, no. 4 (2023): 56–59. http://dx.doi.org/10.46647/ijetms.2023.v07i04.012.

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Now a days R.C.C & steel structures are used in massive ways. Recently all the consultants are designed the R.C.C Structures by plastic method & its design by limit state method. The analysis & design of R.C.C buildings consists of beam, column, slabs & footings. The analysis & design of R.C.C Structures carried out by limit state method & working stress method. The sections obtained by limit state method should be comparing with sections obtained by working stress method to check the economy in design.

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R.N.MULANI, PROF.CHOUDHARIV.A, V.S.PATIL, et al. "COMPARISON AND DESIGN OF WATER TANK REST ON GROUND BY LSM AND WSM – A REVIEW." JournalNX - A Multidisciplinary Peer Reviewed Journal 3, no. 5 (2017): 79–83. https://doi.org/10.5281/zenodo.1446404.

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 In the new version of the IS 3370-2009 Code of Practice for concrete structures for the storage of liquids that has adopted the widely used limit state method. According to the provisions of the previous version of the Code (IS 3370-1965), design of water tanks is only allowed by the work effort method. The study was conducted to compare the design provisions of IS 3370 (1965) and IS 3370 (2009). In this study, a comparison of water design reservoirs using Stress Limiting Worker methods is performed. In order to carry out the comparative design of the study, the three types of water tank

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6

Minemoto, Mamoru, Makoto Kito, Yuzo Kajiwara, and Sigeru Matuoka. "Study on limit state design method for tunnel linings." Doboku Gakkai Ronbunshu, no. 523 (1995): 141–49. http://dx.doi.org/10.2208/jscej.1995.523_141.

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7

Xiang, Yanyong, and Srikanta Mishra. "Probabilistic Multiphase Flow Modeling Using the Limit-State Method." Ground Water 35, no. 5 (1997): 820–24. http://dx.doi.org/10.1111/j.1745-6584.1997.tb00150.x.

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8

Ouyang, Qi, Xiao Qian Chen, and Wen Yao. "Comparison of the Function Regression Method and Data Classification Method for Limit State Function Approximation." Advanced Materials Research 774-776 (September 2013): 1738–44. http://dx.doi.org/10.4028/www.scientific.net/amr.774-776.1738.

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To reduce the computational burden of the reliability analysis of complex engineering application, approximate method is always used to construct the surrogate model of the implicit limit state function. Since the limit state function is a classifier of the failure domain and safe domain, its approximation can be established by the function regression method and data classification method. In this paper, these two methods are tested to several limit state functions including linear function, highly nonlinear function, high dimensional function, series system and parallel system. Least squares

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9

Yang, Zhiyong, Chengchuan Yin, Xueyou Li, Lin Wang, and Lei Zhang. "Influence of Limit State Function’s Form of Geotechnical Structures on Approximate Analytical Reliability Methods." Sustainability 15, no. 10 (2023): 8106. http://dx.doi.org/10.3390/su15108106.

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Approximate analytical methods have been frequently used in geotechnical engineering to estimate the reliability of geotechnical structures due to their efficiency and simplicity. The main spirit of these methods is using the moments of the limit state function to estimate the reliability index. However, the moments are strongly dependent on the form of the limit state function, resulting in the fact that these methods are sensitive to the form of limit state functions. This study aims to systematically explore how various equivalent forms of limit state functions affect the performance of sev

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10

Číhal, Michal, Jaromír Kabeláč, Michael Konečný, and Lukáš Juříček. "Serviceability Limit State Evaluation in Discontinuity Regions." Solid State Phenomena 292 (June 2019): 203–9. http://dx.doi.org/10.4028/www.scientific.net/ssp.292.203.

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Discontinuity Region Design method was recently extended to allow assessment of serviceability limit states (SLS) for regions of concrete structural members where the Bernoulli-Navier hypothesis does not hold, such as dapped ends, openings, frame corners, etc. The method uses material models which consider the impact of short- and long-term loading effects (creep) as well as the influence of tension stiffening, which are calculated from reinforcement ratios. The method can be used to perform assessment of stress limitation SLS as well as to calculate crack widths. Crack width calculations for

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11

Bol, D. V., and G. I. Bogdanov. "On the Compilation of Limit State Diagrams for the Calculation of Reinforced Concrete Elements of Bridge Structures." Russian Journal of Building Construction and Architecture, no. 3(67) (July 11, 2025): 72–78. https://doi.org/10.36622/2542-0526.2025.67.3.007.

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Statement of the problem. The scientific article is devoted to the study of the use of limit state diagrams in the calculation of reinforced concrete elements, with an emphasis on deformation modeling methods. The effectiveness of using this method in comparison with traditional approaches, such as the limit equilibrium method is assessed. The study is carried out by means of constructing limit state diagrams for cross sections of reinforced concrete elements. The research methodology includes calculating the values of normal forces and bending moments to construct the diagrams. Particular att

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12

Sabu, Chinnu, Praveen Nagarajan, and Robin Davis. "Highway Steel Composite Bridge Design using Limit State Design Method." IOP Conference Series: Materials Science and Engineering 936 (October 10, 2020): 012015. http://dx.doi.org/10.1088/1757-899x/936/1/012015.

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13

Shu, Wenjun, Bing Yu, and Hongwei Ke. "A Novel Method on Min–Max Limit Protection for Aircraft Engine Control." MATEC Web of Conferences 166 (2018): 04002. http://dx.doi.org/10.1051/matecconf/201816604002.

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Min–Max selector structure is widely employed in current aircraft engine control logic. And the structure must provide desired thrust and prevent the engine from exceeding any safety or operational limits. In this paper, a new control scheme, that is Min–Max selector structure composed of Sliding Mode (SM) regulator and linear regulator, is presented. The main regulator is a linear regulator and all limit regulators are SM regulators. It could overcome the possibility of limit violation for the traditional Min-Max, and don’ t need the augmented state references that is one drawback of SMC Min-

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14

Beata, Potrzeszcz-Sut, and Dudzik Agnieszka. "Three Methods in Reliability Assessment of Engineering Structure." International Journal of Engineering and Advanced Technology (IJEAT) 11, no. 3 (2022): 114–18. https://doi.org/10.35940/ijeat.C3386.0211322.

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<strong>Abstract: </strong>The work attempts to choose the handy methods for analyzing structural reliability. Comparative analysis of the methods was performed on an example of dome truss susceptible to stability loss from the condition of node snapping. In the reliability analysis of structure the load magnitudes (P), the axial stiffness of bars (EA), coordinate nodes (Z) are represented by random variables. The criterion of structural failure is expressed by the condition of non-exceeding the admissible load multiplier. The Hasofer-Lind reliability index was determined. In analysis were use

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15

Koyankin, A. A., and V. M. Mitasov. "Service limit state of cast-in-place flexural member." Vestnik Tomskogo gosudarstvennogo arkhitekturno-stroitel'nogo universiteta. JOURNAL of Construction and Architecture 25, no. 2 (2023): 154–64. http://dx.doi.org/10.31675/1607-1859-2023-25-2-154-164.

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Cast-in-place structure design distinguish them from reinforced concrete structures. Cast-in-place structures are involved in deformation and receive external load, so they possess different strength, deformation and other physical properties. In this regard, calculation methods of cast-in-place structures given in regulatory documents require clarification.Having studied the cast-in-place structure design and considering their stress-strain state, a method is proposed for the analysis of such structures according to their service limit state. This method allows taking into account different t

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16

Samirsinh, P. Parmar. "Transition From ASD to LRFD: A Comprehensive Review of Geotechnical Design Methods, Their Evolution, Challenges and Future Scopes." Journal of Advances in Geotechnical Engineering 8, no. 2 (2025): 1–18. https://doi.org/10.5281/zenodo.14970156.

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<em>This research paper presents a comparative analysis of various geotechnical design methodologies, including Limit Equilibrium Method (LEM), Limit State Method (LSM), Allowable Stress Design (ASD), Ultimate Limit State (ULS), and Load and Resistance Factor Design (LRFD). The study explores their fundamental equations, assumptions, and factors affecting bearing capacity calculations for shallow foundations. A parametric analysis is conducted using predefined soil and foundation parameters to evaluate the conservatism, reliability, and efficiency of each method. The results highlight the stre

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17

Hu, Bin, Guo-shao Su, Jianqing Jiang, and Yilong Xiao. "Gaussian Process-Based Response Surface Method for Slope Reliability Analysis." Advances in Civil Engineering 2019 (March 27, 2019): 1–11. http://dx.doi.org/10.1155/2019/9185756.

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A new response surface method (RSM) for slope reliability analysis was proposed based on Gaussian process (GP) machine learning technology. The method involves the approximation of limit state function by the trained GP model and estimation of failure probability using the first-order reliability method (FORM). A small amount of training samples were firstly built by the limited equilibrium method for training the GP model. Then, the implicit limit state function of slope was approximated by the trained GP model. Thus, the implicit limit state function and its derivatives for slope stability a

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18

Zhu, Zhiyao, Huilong Ren, Xiuhuan Wang, Nan Zhao, and Chenfeng Li. "Methods for Fitting the Limit State Function of the Residual Strength of Damaged Ships." Journal of Marine Science and Engineering 10, no. 1 (2022): 102. http://dx.doi.org/10.3390/jmse10010102.

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The limit state function is important for the assessment of the longitudinal strength of damaged ships under combined bending moments in severe waves. As the limit state function cannot be obtained directly, the common approach is to calculate the results for the residual strength and approximate the limit state function by fitting, for which various methods have been proposed. In this study, four commonly used fitting methods are investigated: namely, the least-squares method, the moving least-squares method, the radial basis function neural network method, and the weighted piecewise fitting

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19

YAMASHITA, Hiromasa. "Current Status on Limit State Method of Design in Crane Design." Proceedings of Mechanical Engineering Congress, Japan 2020 (2020): F25202. http://dx.doi.org/10.1299/jsmemecj.2020.f25202.

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20

Wakui, Hajime, and Hiroyuki Okuda. "A Study on Limit State Design Method for Prestressed Concrete Sleepers." Doboku Gakkai Ronbunshu, no. 557 (1997): 35–54. http://dx.doi.org/10.2208/jscej.1997.557_35.

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21

TADOKORO, Toshiya, Koichi TANAKA, Yukihiro TANIMURA, Hiroshi KUROKAWA, Hisamichi HATTORI, and Yoshitaka MURONO. "EVALUATION METHOD OF LIMIT STATE OF COLLAPSE FOR REINFORCED CONCRETE COLUMNS." Doboku Gakkai Ronbunshuu E 64, no. 2 (2008): 298–313. http://dx.doi.org/10.2208/jsceje.64.298.

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22

Si, Qi, Zhihong Pan, Yanzhang Zhu, and Hui Ying. "Seismic design method based on limit state for prefabricated RCS frames." Structures 59 (January 2024): 105747. http://dx.doi.org/10.1016/j.istruc.2023.105747.

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23

Öser, Cihan, and S. Feyza Cinicioglu. "Embankment Design Method Combining Limit-State Approach with Stress-Path Application." International Journal of Geomechanics 17, no. 4 (2017): 04016101. http://dx.doi.org/10.1061/(asce)gm.1943-5622.0000796.

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24

PENG, YUE-JUN, and INGRID VIOLET. "ASYMPTOTIC EXPANSIONS IN A STEADY STATE EULER–POISSON SYSTEM AND CONVERGENCE TO INCOMPRESSIBLE EULER EQUATIONS." Mathematical Models and Methods in Applied Sciences 15, no. 05 (2005): 717–36. http://dx.doi.org/10.1142/s0218202505000546.

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This work is concerned with a steady state Euler–Poisson system for potential flows arising in mathematical modeling for plasmas and semiconductors. We study the zero electron mass limit and zero relaxation time limit of the system by using the method of asymptotic expansions. These two limits are expressed by the Maxwell–Boltzmann relation and the classical drift-diffusion model, respectively. For each limit, we show the existence and uniqueness of profiles and justify the asymptotic expansions up to any order. These results also give new approaches for the convergence of the Euler–Poisson sy

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Zhang, Zhi Yong, Wen Bo Huang, Yue Fa Zhou, and Tian Shu Song. "Seismic Reliability Analysis of Complex Structure." Advanced Materials Research 446-449 (January 2012): 2321–25. http://dx.doi.org/10.4028/www.scientific.net/amr.446-449.2321.

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The seismic reliability analysis of complex structure is carried out based on the response surface method and finite element method. Firstly, the appropriate design points are selected based on the mean values and standard deviations of the basic random variables. Secondly, the finite element method is employed to obtain the values of the limit state function of the complex structure. Thirdly, with selected design points and the obtained values of the limit state function of the complex structure, a polynomial function is constructed to approximate the original implicit limit state function. T

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26

Matvienko, Maxim, Vladimir Dyba, and Julia Matvienko. "Combined soil foundation analysis based on ultimate limit state." E3S Web of Conferences 371 (2023): 02023. http://dx.doi.org/10.1051/e3sconf/202337102023.

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The paper defines an updated method for “soil – reinforced concrete foundation” calculation that takes into account their mutual interaction. In this method, both the foundation structure and the footing structure are represented by a rigid-plastic model, which makes it possible to determine the bearing capacity of the system. This method eliminates the possibility of destruction of the reinforced concrete foundation from punching to the exhaustion of its bearing capacity. It further presents the results of the test conducted by the authors at Novocherkassk School for Soil Mechanics Research t

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STAAT, MANFRED. "LIMIT AND SHAKEDOWN ANALYSIS UNDER UNCERTAINTY." International Journal of Computational Methods 11, no. 03 (2014): 1343008. http://dx.doi.org/10.1142/s0219876213430081.

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Structural reliability analysis is based on the concept of a limit state function separating failure from safe states of a structure. Upper and lower bound theorems of limit and shakedown analysis are used for a direct definition of the limit state function for failure by plastic collapse or by inadaptation. Shakedown describes an asymptotic and therefore time invariant structural behavior under time variant loading. The limit state function and its gradient are obtained from a mathematical optimization problem. The method is implemented into a general purpose finite element model (FEM) code.

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Soroka, М. М. "LIMIT STATE OF ARCHES OF VARIABLE STIFFNESS." Bulletin of Odessa State Academy of Civil Engineering and Architecture, no. 81 (December 7, 2020): 97–104. http://dx.doi.org/10.31650/2415-377x-2020-81-97-104.

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Abstract. An algorithm is proposed for numerically solving the problem of finding the maximum load for flat bar systems having a rectangular section of variable height. The material is elastoplastic; its physical properties are described by the Prandtl diagram. It is assumed that the compressive and tensile strength of the material are different. The modulus of elasticity in tension and compression is the same. The limiting state of a rectangular cross section under the simultaneous action of a longitudinal force and a bending moment is described. Using the proposed algorithm, a program was de

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Umana, Umana. "Groundwater Quality Assessment In Aka-Offot Industrial Layout, Uyo, Akwa Ibom State, Nigeria." Global Sustainability Research 1, no. 1 (2022): 14–23. http://dx.doi.org/10.56556/gssr.v1i1.299.

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Groundwater quality assessment was carried out on water samples from five boreholes collected through simple random sampling method during wet and dry seasons within Aka-Offot Industrial Layout, Uyo and a non-industrialized area (control site). The aim was to assess their quality by determining their physico-chemical properties and heavy metals for comparison with the control site and the world’s threshold standards. Water samples were collected with polyethylene bottles that were initially rinsed with 10% hydrochloric acid then with sample water. Two samples were collected from each borehole.

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Soroka, M. "MECHANISMS OF PLASTIC DESTRUCTION OF ARCHES." Mechanics And Mathematical Methods 6, no. 2 (2024): 88–99. http://dx.doi.org/10.31650/2618-0650-2024-6-2-88-99.

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The method of determining the limit load for double-hinged and hingeless arches of fixed and variable rigidity is considered. The calculation is performed using the limit equilibrium method. Arches under the influence of a vertical uniformly distributed load are considered. The cross section is taken in the form of a non-reinforced rectangle. The stress-strain state of an elastic-plastic material is described by the Prandtl diagram. The peculiarities of material deformation are that the yield limits in tension and compression are different. The determination of the limit load is based on takin

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Ma, Chao, and Zhen Zhou Lu. "Iterative Algorithm for Structure Reliability Analysis Based on Support Vector Classification Method." Key Engineering Materials 353-358 (September 2007): 1009–12. http://dx.doi.org/10.4028/www.scientific.net/kem.353-358.1009.

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For reliability analysis of structure with implicit limit state function, an iterative algorithm is presented on the basis of support vector classification machine. In the present method, the support vector classification machine is employed to construct surrogate of the implicit limit state function. By use of the proposed rational iteration and sampling procedure, the constructed support vector classification machine can converge to the actual limit state function at the important region, which contributes to the failure probability significantly. Then the precision of the reliability analys

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32

Wang, Xiaoxia, Junshan Lin, Hongjian Liang, and Haibo Wang. "A regional road network traffic noise limit prediction method based on design elements." Journal of the Acoustical Society of America 157, no. 1 (2025): 527–37. https://doi.org/10.1121/10.0034866.

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Since traffic flow has not been generated, a traffic noise prediction model based on actual traffic state data cannot be directly applied to the planned road network. Therefore, a regional traffic noise prediction method is proposed to find the upper limit of network noise emission based on design elements. The model is developed with noise predictions of the basic road section, interrupted/continuous intersections, and regional network. Meanwhile, ranges of traffic flow speed and volume are inferred by design elements and constraints between road units are obeyed. A four-scenes experiment to

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Wang, Zhong Wen, Jian Qin Fang, Cai Chu Xia, Yue Wei Bian, and Kun He. "A Method for Determining Second Lining Supporting Opportunity in Soft Rock Tunnel." Advanced Materials Research 243-249 (May 2011): 3644–51. http://dx.doi.org/10.4028/www.scientific.net/amr.243-249.3644.

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The determination criteria and methods are summarized for the reasonable supporting opportunity which is obtained from the numerical calculation of GeoFEM. It is the limit state of surrounding rock when the second lining undertakes 10 percent of load in Ⅳ grade rock(buried depth 121m), and the surrounding rock with burial depth 43meters reaches its limit state when the second lining bears 5 percent of load in Ⅴ grade rock. The reasonable supporting opportunity will be obtained from those two limit states with the criteria.

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En, Xinong, Yimin Zhang, and Xianzhen Huang. "Modified control variates method based on second-order saddle-point approximation for practical reliability analysis." Mechanical Sciences 14, no. 2 (2023): 439–50. http://dx.doi.org/10.5194/ms-14-439-2023.

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Abstract. A novel method is presented for efficiently analyzing the reliability of engineering components and systems with highly nonlinear complex limit state functions. The proposed method begins by transforming the integral of the limit state function into an integral of a highly correlated limit state function using the control variates method. The second-order reliability method is then employed within the control variates framework to approximate the highly correlated limit state function as a quadratic polynomial. Subsequently, the probability of failure is obtained through the estimati

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Zhu, Zhiyao, Huilong Ren, Chenfeng Li, and Xueqian Zhou. "Ultimate Limit State Function and Its Fitting Method of Damaged Ship under Combined Loads." Journal of Marine Science and Engineering 8, no. 2 (2020): 117. http://dx.doi.org/10.3390/jmse8020117.

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The ultimate limit state function is one of the premises for the assessment of structure strength and the safety of ships under severe conditions. In order to study the residual strength of damaged ships under the combined load of vertical and horizontal bending moments acting on the hull girder, the ultimate limit state function of a damaged ship under combined load, and its fitting methods are investigated in this paper. An improved Smith Method is adopted to calculate the residual load carrying capacity of damage ships, where the rotation and translation of the neutral axis of the damaged c

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Li, Bin. "Research On Slope Stability Analysis Method Based On Limit State Design Method Of Partial Coefficient." IOP Conference Series: Earth and Environmental Science 189 (November 6, 2018): 022008. http://dx.doi.org/10.1088/1755-1315/189/2/022008.

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Tu, Jianwei, Quan Zhao, and Kui Gao. "The Design of Concrete Beams Reinforced with GFRP Bars Based on Crack Width." Materials 15, no. 18 (2022): 6467. http://dx.doi.org/10.3390/ma15186467.

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Since glass fiber-reinforced polymer (GFRP) bars have a lower modulus than steel bars, the design of GFRP-reinforced concrete (GFRP-RC) is often governed by the serviceability limit state (deflection and cracking) rather than the ultimate state. A new design method has been proposed in this paper for GFRP-RC beams based on the flexure crack width. The state when the maximum flexure crack width in the tensile zone reaches the limit of 0.5 mm specified by ACI 440.1R-15 was used as the design limit state. The concrete compressive strain at the extreme compression fiber of concrete under the desig

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Misra, Anil, and Lance A. Roberts. "Probabilistic analysis of drilled shaft service limit state using the "t–z" method." Canadian Geotechnical Journal 43, no. 12 (2006): 1324–32. http://dx.doi.org/10.1139/t06-074.

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The utility of the load and resistance factor design (LRFD) approach is being increasingly recognized for the design of drilled shafts. The current LRFD methodologies of drilled shaft design would be more efficient if reliability based design approaches were used for service limit state design. In this paper, the "t–z" methodology is utilized to develop probabilistic approaches for axial service limit state analysis of drilled shafts. Two different models of the soil–shaft interaction are implemented for load displacement calculations: (1) an ideal elastoplastic model, and (2) a hyperbolic mod

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Behr, Richard A., and Abdeldjelil Belarbi. "Seismic Test Methods for Architectural Glazing Systems." Earthquake Spectra 12, no. 1 (1996): 129–43. http://dx.doi.org/10.1193/1.1585871.

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An ongoing effort is being made at the University of Missouri-Rolla to develop standard laboratory test methods and codified design procedures for architectural glass under seismic loadings. Recent laboratory work has yielded some promising results regarding the development of an appropriate seismic test method for architectural glass, as well as identifying ultimate limit states that quantify the seismic performance and damage thresholds of various glass types. Specifically, a straightforward “crescendo-like” in-plane dynamic racking test, performed at a constant frequency, has been employed

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40

Andrianov, Ivan K., Sergey I. Feoktistov, and Elena K. Chepurnova. "Limit state analysis of the thin-walled shell using a forming limit diagram and finite element modeling." Journal of Physics: Conference Series 2573, no. 1 (2023): 012041. http://dx.doi.org/10.1088/1742-6596/2573/1/012041.

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Abstract The study considers the problem of estimating the limiting state of thin-walled cylindrical shells loaded with internal pressure. A diagram of limiting deformations is used as a method for estimating the limiting state of shells. The upper limit of permissible deformations satisfying the kinematic criterion of limiting deformation is determined based on the Side-Rice criterion. Using the finite element method, a series of numerical experiments on the loading of the inner shell at different heights of the loaded region in comparison with the diameter of the shell were carried out. Thus

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Moran, B., Y. Xu, and J. D. Achenbach. "Limit-State Surface Element Method: Application to Fatigue Reliability with NDE Inspections." Journal of Engineering Mechanics 126, no. 7 (2000): 684–92. http://dx.doi.org/10.1061/(asce)0733-9399(2000)126:7(684).

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42

NAKAMURA, Hideharu. "A Limit State Analysis Method Using Higher Differentiation Obtained by Computer Algebra." Doboku Gakkai Ronbunshu, no. 477 (1993): 53–62. http://dx.doi.org/10.2208/jscej.1993.477_53.

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43

Li, Junxiang, Jianqiao Chen, and Zhiqiang Chen. "Developing an improved composite limit state method for time-dependent reliability analysis." Quality Engineering 32, no. 3 (2020): 298–311. http://dx.doi.org/10.1080/08982112.2020.1735004.

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44

Yang, Taeseon, Jongki Jeong, Junhee Seo, and Seungcheol Baek. "The Evaluation Applying Limit State Method for the Concrete Retaining Wall Structures." Journal of the Korean Geoenvironmental Society 15, no. 7 (2014): 59–66. http://dx.doi.org/10.14481/jkges.2014.15.7.59.

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Goh, Anthony TC, and Fred H. Kulhawy. "Neural network approach to model the limit state surface for reliability analysis." Canadian Geotechnical Journal 40, no. 6 (2003): 1235–44. http://dx.doi.org/10.1139/t03-056.

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Structural reliability methods are often used to evaluate the failure performance of geotechnical structures. A common approach is to use the first-order reliability method. Its popularity results from the mathematical simplicity of the method, since only second moment information (mean and coefficient of variation) on the random variables is required. The probability of failure is then assessed by an index known commonly as the reliability index. One critical aspect in determining the reliability index is the explicit definition of the limit state surface of the system. In a problem involving

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Kuang, Lin, Ai Zhong Lv, and Yu Zhou. "Slope Stability Analysis of Elastic Limit Equilibrium Method." Applied Mechanics and Materials 275-277 (January 2013): 1423–26. http://dx.doi.org/10.4028/www.scientific.net/amm.275-277.1423.

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Based on finite element analysis software ANSYS, slope stability analysis is carried out by Elastic limiting equilibrium method proposed in this paper. A series of sliding surface of the slope can be assumed firstly, and then stress field along the sliding surface is analyzed as the slope is in elastic state. The normal and tangential stresses along each sliding surface can be obtained, respectively. Then the safety factor for each slip surface can be calculated, the slip surface which the safety factor is smallest is the most dangerous sliding surface. This method is different from the previo

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Liu, Yubao, Hanxiong Liu, and Shouyi Sun. "Study on Structural Reliability of Prestressed Reinforced Concrete Beam Bridges Based on Full Probability Analysis." IOP Conference Series: Materials Science and Engineering 1210, no. 1 (2021): 012003. http://dx.doi.org/10.1088/1757-899x/1210/1/012003.

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Abstract A three dimensional(3D) finite element model is established for a prestressed concrete girder bridge, list the limit state equation and variable probability distribution model, obtain the failure probability and reliability index of the limit state equation based on the Monte-Carlo method, investigate the reliability index’s sensitivity to random variables for limit state equations of bridge bearing capacity. The specific method of the research on the structure reliability index calculation is to select a suitable way that can fit the research’s object among the center point method, t

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GRABARCZYK, Marcin, Wiesława CIESIŃSKA, and Rafał POROWSKI. "Experimental and Theoretical Methods of Lower Explosion Limit Determination in Gaseous and Liquid Fuels. A Review of the State of Knowledge." Problems of Mechatronics Armament Aviation Safety Engineering 7, no. 4 (2016): 85–114. http://dx.doi.org/10.5604/01.3001.0009.5021.

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This work is an in-depth discussion of the experimental methods of lower explosion limit (LEL) determination and estimation in gases and the vapours of liquids. The focus here includes the dependences and drawbacks of each method. The work also outlines past research and discoveries that relate to the determination of explosion limits.

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Zhong, Wei, Xiao Qing Chen, and Tao Yang. "Numerical Limit Equilibrium Method of Three-Dimensional Stability for Landslide." Advanced Materials Research 250-253 (May 2011): 3927–33. http://dx.doi.org/10.4028/www.scientific.net/amr.250-253.3927.

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The three-dimensional model of slop in numerical calculation is established. And high precision eight-node hexahedron element is used to build the finite element grid of slip layer. The slip layer material is simulated by an ideal elastic-plastic model based on the Mohr-Coulomb Criterion. Three-dimensional stress state and slide direction of the slip layer zone is obtained by numerical computation. So, based on the analysis of the three-dimensional stress state of the slip layer zone, in this article, the author defines the point safety factor as the ratio of the shear strength of the slip zon

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Hong, Linxiong, Huacong Li, Kai Peng, and Hongliang Xiao. "Structural Reliability Algorithms of Kriging Model Based on Improved Learning Strategy." Xibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University 38, no. 2 (2020): 412–19. http://dx.doi.org/10.1051/jnwpu/20203820412.

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Aiming at the problems of implicit and highly nonlinear limit state function in the process of reliability analysis of mechanical products, a reliability analysis method of mechanical structures based on Kriging model and improved EGO active learning strategy is proposed. For the problem that the traditional EGO method cannot effectively select points in the limit state surface region, an improved EGO method is proposed. By dealing with the predicted values of sample point model with absolute values and assume that the distribution state of response values remains the same, the work focus of a

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