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Artykuły w czasopismach na temat "Numerical Limit Analysis"
JIN, SHI, XIAOMEI LIAO i XU YANG. "THE VLASOV–POISSON EQUATIONS AS THE SEMICLASSICAL LIMIT OF THE SCHRÖDINGER–POISSON EQUATIONS: A NUMERICAL STUDY". Journal of Hyperbolic Differential Equations 05, nr 03 (wrzesień 2008): 569–87. http://dx.doi.org/10.1142/s021989160800160x.
Pełny tekst źródłaLabbé, Stéphane, i Lionel Paumond. "Numerical comparisons of two long-wave limit models". ESAIM: Mathematical Modelling and Numerical Analysis 38, nr 3 (maj 2004): 419–36. http://dx.doi.org/10.1051/m2an:2004020.
Pełny tekst źródłaLiu, Ying Hua, Bing Ye Xu i Xian He Du. "A Numerical Approach for Lower Bound Limit Analysis". Key Engineering Materials 626 (sierpień 2014): 474–81. http://dx.doi.org/10.4028/www.scientific.net/kem.626.474.
Pełny tekst źródłaBeran, P. S., N. S. Khot, F. E. Eastep, R. D. Snyder i J. V. Zweber. "Numerical Analysis of Store-Induced Limit-Cycle Oscillation". Journal of Aircraft 41, nr 6 (listopad 2004): 1315–26. http://dx.doi.org/10.2514/1.404.
Pełny tekst źródłaClarke, Samuel D., Colin C. Smith i Matthew Gilbert. "Modelling discrete soil reinforcement in numerical limit analysis". Canadian Geotechnical Journal 50, nr 7 (lipiec 2013): 705–15. http://dx.doi.org/10.1139/cgj-2012-0387.
Pełny tekst źródłaKuznetsov, Yu A., W. Govaerts, E. J. Doedel i A. Dhooge. "Numerical Periodic Normalization for Codim 1 Bifurcations of Limit Cycles". SIAM Journal on Numerical Analysis 43, nr 4 (styczeń 2005): 1407–35. http://dx.doi.org/10.1137/040611306.
Pełny tekst źródłaJiang, Kai Yu, Jing Cao i Yue Ma. "Slope Stability Analysis Based on Limit Equilibrium and Numerical Analysis". Applied Mechanics and Materials 256-259 (grudzień 2012): 198–202. http://dx.doi.org/10.4028/www.scientific.net/amm.256-259.198.
Pełny tekst źródłaCáceres, María-José, José-Antonio Carrillo i Pierre Degond. "The Child–Langmuir limit for semiconductors: a numerical validation". ESAIM: Mathematical Modelling and Numerical Analysis 36, nr 6 (listopad 2002): 1161–76. http://dx.doi.org/10.1051/m2an:2003011.
Pełny tekst źródłaAntão, A. N., i M. Vicente da Silva. "Three-dimensional Limit Analysis with Lade-Duncan criterion". Géotechnique Letters 12, nr 2 (1.06.2022): 1–21. http://dx.doi.org/10.1680/jgele.22.00015.
Pełny tekst źródłaBambach, Markus, M. Todorova i Gerhard Hirt. "Experimental and Numerical Analysis of Forming Limits in CNC Incremental Sheet Forming". Key Engineering Materials 344 (lipiec 2007): 511–18. http://dx.doi.org/10.4028/www.scientific.net/kem.344.511.
Pełny tekst źródłaRozprawy doktorskie na temat "Numerical Limit Analysis"
Visram, Abeed. "Asymptotic limit analysis for numerical models of atmospheric frontogenesis". Thesis, Imperial College London, 2014. http://hdl.handle.net/10044/1/23219.
Pełny tekst źródłaDegwitz, Fernando G. (Fernando Guillermo) 1980. "Numerical upper and lower bound limit analysis for braced excavations". Thesis, Massachusetts Institute of Technology, 2004. http://hdl.handle.net/1721.1/30131.
Pełny tekst źródłaIncludes bibliographical references (leaves62-63).
This thesis reviews limit theorems and their applications for stability problems in geotechnical engineering. Rigorous numerical solutions of limit analyses can be obtained through finite element discretization of the soil mass and formulation of the limit theorems within a linear programming framework. The current research uses a formulation proposed by Sloan et al. (1988) and extended in a recent Ph.D. thesis by Ukritchon (1998) to include soil-structure interactions. The thesis details the input and output required for numerical limit analysis and presents an example application for the stability of a broad excavation for the MUNI Metro Turnback project in San Francisco. This well documented case study involves a 13 M deep excavation within a deep deposit of May Mud that was supported by an SPTC wall with three levels of cross-lot bracing. The numerical limit analyses calculate factors of safety, FS = 1.03 - 1.36, against basal instability. The factor of safety used in the original design (FS = 1.2) is contained in this range. The results illustrate that numerical limit analysis offers a practical alternative to limit equilibrium methods in evaluating the stability of braced excavations.
by Fernando G. Degwitz.
M.Eng.
ARAUJO, LUIZ GONZAGA DE. "NUMERICAL STUDIES OF THE STABILITY OF GEOTECHNICAL MATERIALS THROUGH LIMIT ANALYSIS". PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 1997. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=2084@1.
Pełny tekst źródłaO presente trabalho apresenta um estudo de problemas de estabilidade, freqüentemente,encontrados, em Engenharia Geotécnica, através da técnica da Análise Limite associada ao Método dos Elementos Finitos (MEF).Inicialmente, faz-se uma revisão das formulações da Análise Limite, via MEF,encontradas, com maior freqüência, na literatura técnica especializada.Uma formulação mista que é descrita em detalhe na tese foi escolhida para implementação. Extensões das formulações da Análise Limite de meios contínuos são propostas para contemplar características de maciços rochosos fraturados. É proposto,também, um procedimento numérico para tratar de problemas de estabilidade de meios que exibem fluxo plástico não associado.As implementações realizadas foram validadas através de problemas cujas soluções podem ser obtidas por via analítica.Finalmente, um número considerável de problemas de interesse em Engenharia Geotécnica é estudado utilizando a implementação realizada. Os resultados destes estudos sugerem a viabilidade da utilização da técnica estudada na solução de problemas práticos de Engenharia Civil.
This work presents a study of stability problems often encountered in Geotechnical Engineering, through the use of Limit Analysis in conjunction with the Finite Element Method (FEM).Initially, a literature survey of the most often found formulations in Limit Analysis through the FEM is carried out.A mixed formulation of Limit Analysis was chosen for implementation and its details are fully described. Extensions of the formulation to deal with stability problems in fractured rock media are also proposed and described. A numerical procedure to take into account the effect of non associative plastic flow is proposed.The implementations carried out were validated through problems to which analytical solutions could be found.Finally, a considerable number of problems of interest to Geotechnical Engineering is studied with the implemented formulation. The results of these studies suggest that Limit Analysis can be considered as a viable tool in the solution of practical problems in Geotechnical Engineering.
Prasad, Anamika 1979. "Development of user interface for numerical limit analysis of geotechnical stability problems". Thesis, Massachusetts Institute of Technology, 2003. http://hdl.handle.net/1721.1/85751.
Pełny tekst źródłaLe, Canh. "Novel numerical procedures for limit analysis of structures : mesh-free methods and mathematical programming". Thesis, University of Sheffield, 2010. http://etheses.whiterose.ac.uk/856/.
Pełny tekst źródłaAlves, Vian Marina. "Funicular solutions for masonry vaults: a review of recent and past numerical methods". Master's thesis, Alma Mater Studiorum - Università di Bologna, 2021.
Znajdź pełny tekst źródłaROJAS, JHONATAN EDWAR GARCIA. "NUMERICAL LIMIT ANALYSIS USING SEMIDEFINITE AND SECOND ORDER CONIC PROGRAMMING WITH APPLICATION IN STABILITY OF SHALLOW TUNNELS". PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2018. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=36904@1.
Pełny tekst źródłaCOORDENAÇÃO DE APERFEIÇOAMENTO DO PESSOAL DE ENSINO SUPERIOR
PROGRAMA DE EXCELENCIA ACADEMICA
Nesse trabalho é avaliada a solução numérica do colapso na frente de escavação em túneis rasos, através da teoria de análise limite numérico, usando o teorema do limite inferior, a partir da condição de equilíbrio para as condições plásticas, além de considerar o comportamento do material rígido perfeitamente plástico. O teorema de limite inferior implica em maximizar o fator multiplicador na carga atuante, por isso a análise limite se torna um problema de otimização, nele tem que se usar a programação matemática para ser resolvido. É avaliada a solução numérica tridimensional da análise limite através do método dos elementos finitos, usando malha de elementos hexaédricos de oito nós, a análise dos elementos finitos é feita com o próprio código gerado na linguagem de programação do MATLAB 2017.As metodologias de programação matemática empregadas são: programação cônica de segunda ordem e programação semidefinida. Antes deve-se adaptar os critérios de ruptura de Drucker Prager à programação cônica de segunda ordem e Mohr-Coulomb tridimensional à programação semidefinida. Para a otimização se usa o algoritmo comercial MOSEK Aps 7.1 baseado no método do ponto interior em grande escala, na linguagem do MATLAB 2017. Além disso, obteve-se o mecanismo de colapso através da propriedade da dualidade do problema de otimização, dualidade que é cumprida pelos teoremas de limite superior e inferior.
In this work the numerical solution of the collapse in the front of excavation in shallow tunnels is evaluated through the theory of numerical limit analysis, using the lower limit theorem, from the equilibrium condition for the plastic conditions, considering the behavior of the perfectly plastic rigid material. The lower limit theorem implies maximizing the multiplier factor in the acting load, so that the limit analysis becomes an optimization problem. The three-dimensional numerical solution of the limit analysis using the finite element method is evaluated using a mesh of eight-node hexahedral elements. The finite element analysis is done using the code generated in the MATLAB 2017 programming language. The mathematical programming methodologies used are: second order conic programming and semidefinite programming. The Drucker-Prager three-dimensional criteria should be adapted to the conic programming of the second order and Mohr-Coulomb three-dimensional to the semidefinite programming. For the optimization, the MOSEK Aps 7.1 commercial algorithm based on the large-scale interior point method is used in the MATLAB 2017 language. In addition, the collapse mechanism was obtained through the duality property of the optimization problem, duality that is fulfilled by the upper and lower limit theorems.
Antocheviz, Rafael Bugs. "Metodologia para determinação do procedimento a ser utilizado em uma análise de estabilidade de taludes : ruptura circular". reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2018. http://hdl.handle.net/10183/184854.
Pełny tekst źródłaAnalysis of slope stability in mining is one of the most important activities of the process of obtaining a mineral resources. Ensuring the excavation stability and the safety of the project are vital to the extraction process. The choice of the form of analysis (2D, quasi-threedimensional or 3D) or of the method (limit equilibrium or numerical analysis) more suitable for this type of study is of paramount importance since, the responsible engineer often end up basing the analysis on familiarity with a particular methodology or on the availability of a particular program, to the detriment of technical factors and relevance to the study. Thus, in order to fill this existing gap and facilitate the selection of the best methodology to be used, the present study brings together the main known methods, their advantages and disadvantages and, therefore, presents a methodology for such a choice to be based on relevant technical parameters. The proposed methodology is somewhat restrictive in the choice of procedures that will be considered, since it has been tried to use methods that have proven applicability, that have considerable advantages over other methods and that are rigorous, satisfying all equilibrium conditions (forces and moments). In order to corroborate the proposed methodology, four different practical situations were presented, demonstrating the applicability of the methodology.
Franca, Paulo Ricardo Behrens da. "Analysis of slope stability using limit equilibrium and numerical methods with case examples from the Águas Claras Mine, Brazil". Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp04/mq20637.pdf.
Pełny tekst źródłaJanssen, Arend. "Order book models, signatures and numerical approximations of rough differential equations". Thesis, University of Oxford, 2012. http://ora.ox.ac.uk/objects/uuid:264e96b3-f449-401b-8768-337acab59cab.
Pełny tekst źródłaKsiążki na temat "Numerical Limit Analysis"
Alexandrov, Sergey. Upper bound limit load solutions for welded joints with cracks. Heidelberg: Springer, 2012.
Znajdź pełny tekst źródłaBensoussan, Alain. Asymptotic analysis for periodic structures. Providence, R.I: American Mathematical Society, 2011.
Znajdź pełny tekst źródłaYeom, D. J. Limit and shakedown analyses if axisymmetric structures by numerical methods. Manchester: UMIST, 1996.
Znajdź pełny tekst źródłaCockshott, W. Paul. Computation and its limits. Oxford [England]: Oxford University Press, 2012.
Znajdź pełny tekst źródłaM, Mackenzie L., i Michaelson Greg 1953-, red. Computation and its limits. Oxford [England]: Oxford University Press, 2012.
Znajdź pełny tekst źródłaInfinite Matrices and their Finite Sections: An Introduction to the Limit Operator Method (Frontiers in Mathematics). Birkhäuser Basel, 2006.
Znajdź pełny tekst źródłaAlexandrov, Sergey. Upper Bound Limit Load Solutions for Welded Joints with Cracks. Springer, 2012.
Znajdź pełny tekst źródłaInfinite Matrices and their Finite Sections: An Introduction to the Limit Operator Method (Frontiers in Mathematics). Birkhäuser, 2006.
Znajdź pełny tekst źródłaOptimization of Objective Functions: Analytics. Numerical Methods. Design of Experiments. Moscow, Russia: Fizmatlit Publisher, 2009.
Znajdź pełny tekst źródłaMathematical Statistics: Theory and Applications. Berlin, Germany: De Gruyter, 2020.
Znajdź pełny tekst źródłaCzęści książek na temat "Numerical Limit Analysis"
Brigadnov, Igor A. "Limit Analysis Method in Electrostatics". W Numerical Mathematics and Advanced Applications, 176–85. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-642-18775-9_15.
Pełny tekst źródłaBender, C. "Continuum limit of lattice approximation schemes". W Group Theory and Numerical Analysis, 33–48. Providence, Rhode Island: American Mathematical Society, 2005. http://dx.doi.org/10.1090/crmp/039/03.
Pełny tekst źródłaSpiliopoulos, Konstantinos V., i Theodoros N. Patsios. "Numerical Analysis of Nonholonomic Elastoplastic Frames by Mathematical Programming". W Limit State of Materials and Structures, 129–44. Dordrecht: Springer Netherlands, 2013. http://dx.doi.org/10.1007/978-94-007-5425-6_7.
Pełny tekst źródłaPisano, Aurora Angela, Paolo Fuschi i Dario De Domenico. "Limit Analysis on RC-Structures by a Multi-yield-criteria Numerical Approach". W Direct Methods for Limit and Shakedown Analysis of Structures, 199–219. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-12928-0_11.
Pełny tekst źródłaMorelle, P., i G. Fonder. "Shakedown and Limit Analysis of Shells — A Variational and Numerical Approach". W Lecture Notes in Engineering, 381–405. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-83015-0_35.
Pełny tekst źródłaCosta, Pedro Alves, Patrícia Lopes i António Silva Cardoso. "Lower Bound Shakedown Limit Analysis of Slab Railway Tracks: Numerical Approach". W Lecture Notes in Civil Engineering, 479–92. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-2349-6_30.
Pełny tekst źródłaKonnur, S. S., A. M. Hulagabali, C. H. Solanki i G. R. Dodagoudar. "Numerical Analysis of MSE Wall Using Finite Element and Limit Equilibrium Methods". W Lecture Notes in Civil Engineering, 199–205. Singapore: Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-0562-7_22.
Pełny tekst źródłaSenthil, P., i Hari Dev. "Numerical Analysis of Gravity Dam-Foundation and Comparison with Limit Equilibrium Method". W Lecture Notes in Civil Engineering, 235–44. Singapore: Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-99-1886-7_20.
Pełny tekst źródłaHe, Xuan’ang, Dalin Zhang i Xiang Wang. "Visualized Numerical Analysis of Fustar Reactor Based on Modelica Language". W Springer Proceedings in Physics, 276–87. Singapore: Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-99-1023-6_26.
Pełny tekst źródłaRashidifar, Rasoul, F. Frank Chen, Hamed Bouzary i Mohammad Shahin. "A Mathematical Model for Cloud-Based Scheduling Using Heavy Traffic Limit Theorem in Queuing Process". W Lecture Notes in Mechanical Engineering, 197–206. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-18326-3_20.
Pełny tekst źródłaStreszczenia konferencji na temat "Numerical Limit Analysis"
Tiţa, Nicolae, Anca Armăşelu, Theodore E. Simos, George Psihoyios, Ch Tsitouras i Zacharias Anastassi. "On Some Limit Scales of Approximation Ideals". W NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3636784.
Pełny tekst źródłaPingaro, Natalia, Gabriele Milani i Simone Tiberti. "Automatic CAD kinematic limit analysis approach for the limit analysis of masonry towers". W INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019. AIP Publishing, 2020. http://dx.doi.org/10.1063/5.0026420.
Pełny tekst źródłaChang, Keh‐Chin, Jian‐Hung Lin i Yi‐Mei Liu. "Applicability Limit of Binary Collision Model in Dense Particle Flow". W NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2008. American Institute of Physics, 2008. http://dx.doi.org/10.1063/1.2991046.
Pełny tekst źródłaGürdal, M., M. B. Huban i U. Yamancı. "On generalized statistical limit points in random 2-normed spaces". W NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756300.
Pełny tekst źródłaDemi̇ralp, Metin, Theodore E. Simos, George Psihoyios i Ch Tsitouras. "Series Expansion of a Function's Expectation Matrix at the Zero Interval Length Limit". W Numerical Analysis and Applied Mathematics. AIP, 2007. http://dx.doi.org/10.1063/1.2790096.
Pełny tekst źródłaBoscarino, S., Theodore E. Simos, George Psihoyios, Ch Tsitouras i Zacharias Anastassi. "Implicit-Explicit Runge-Kutta Schemes for Hyperbolic Systems in the Diffusion Limit". W NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3637861.
Pełny tekst źródłaGürvit, Ercan, N. A. Baykara, Metin Demiralp, Theodore E. Simos, George Psihoyios, Ch Tsitouras i Zacharias Anastassi. "Taylor Formula with Remainder Term Evaluated under a Weight Factor at Fluctuationlessness Limit". W NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3637826.
Pełny tekst źródłaKala, Zdeněk, i Giedrė Sandovič. "Fuzzy stochastic analysis of serviceability and ultimate limit states of two-span pedestrian steel bridge". W NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756597.
Pełny tekst źródłaKutaiba, Shaban, i Vladimir Vasilyev. "On solutions of certain limit boundary value problems". W INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019. AIP Publishing, 2020. http://dx.doi.org/10.1063/5.0026562.
Pełny tekst źródłaOleynik, Anna, John Wyller, Igor Wertgeim, Theodore E. Simos, George Psihoyios i Ch Tsitouras. "The Weakly Nonlocal Limit of a One-Population Wilson-Cowan Model". W NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2009: Volume 1 and Volume 2. AIP, 2009. http://dx.doi.org/10.1063/1.3241465.
Pełny tekst źródłaRaporty organizacyjne na temat "Numerical Limit Analysis"
Walshire, Lucas, Joseph Dunbar i Benjamin Breland. Stability analysis of Old River Low Sill Structure. Engineer Research and Development Center (U.S.), wrzesień 2022. http://dx.doi.org/10.21079/11681/45349.
Pełny tekst źródłaEbeling, Robert, Barry White, John Hite, James Tallent, Locke Williams, Brad McCoy, Aaron Hill, Cameron Dell, Jake Bruhl i Kevin McMullen. Load and resistance factors from reliability analysis Probability of Unsatisfactory Performance (PUP) of flood mitigation, batter pile-founded T-Walls given a target reliability index (𝛽). Engineer Research and Development Center (U.S.), lipiec 2023. http://dx.doi.org/10.21079/11681/47245.
Pełny tekst źródłaPatel, Reena, David Thompson, Guillermo Riveros, Wayne Hodo, John Peters i Felipe Acosta. Dimensional analysis of structural response in complex biological structures. Engineer Research and Development Center (U.S.), lipiec 2021. http://dx.doi.org/10.21079/11681/41082.
Pełny tekst źródłaFrancis, Andrew, Chas Jandu i Mike Taylor. PR-408-124500-R01 Mechanical Damage Instantaneous Failure Model Numerical Simulation of Physical Tests. Chantilly, Virginia: Pipeline Research Council International, Inc. (PRCI), marzec 2013. http://dx.doi.org/10.55274/r0010819.
Pełny tekst źródłaYoosef-Ghodsi, Ozkan i Bandstra. PR-244-114501-R01 Review of Compressive Strain Capacity Assessment Methods Final Report. Chantilly, Virginia: Pipeline Research Council International, Inc. (PRCI), październik 2013. http://dx.doi.org/10.55274/r0010402.
Pełny tekst źródłaEbeling, Robert, i Barry White. Load and resistance factors for earth retaining, reinforced concrete hydraulic structures based on a reliability index (β) derived from the Probability of Unsatisfactory Performance (PUP) : phase 2 study. Engineer Research and Development Center (U.S.), marzec 2021. http://dx.doi.org/10.21079/11681/39881.
Pełny tekst źródłaLiu i Nixon. L52305 Probabilistic Analysis of Pipeline Uplift Resistance. Chantilly, Virginia: Pipeline Research Council International, Inc. (PRCI), czerwiec 2010. http://dx.doi.org/10.55274/r0000002.
Pełny tekst źródłaSEISMIC PERFORMANCE OF SINGLE-LAYER SPHERICAL RETICULATED SHELLS CONSIDERING JOINT STIFFNESS AND BEARING CAPACITY. The Hong Kong Institute of Steel Construction, czerwiec 2022. http://dx.doi.org/10.18057/ijasc.2022.18.2.9.
Pełny tekst źródłaSTUDY ON MECHANICAL PROPERTIES OF SIMPLIFIED STEEL FRAME MODEL WITH EXTERNAL WALL PANELS. The Hong Kong Institute of Steel Construction, sierpień 2022. http://dx.doi.org/10.18057/icass2020.p.334.
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