Relevant bibliographies by topics / Non-dimensional analysis

Academic literature on the topic 'Non-dimensional analysis'

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Published: 10 March 2023
Last updated: 11 March 2023

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Journal articles on the topic "Non-dimensional analysis"

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Albeverio, S., Yu L. Daletsky, Yu G. Kondratiev, and L. Streit. "Non-Gaussian Infinite Dimensional Analysis." Journal of Functional Analysis 138, no. 2 (June 1996): 311–50. http://dx.doi.org/10.1006/jfan.1996.0067.

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Bonert, Michael, and Bradley A. Saville. "A Non-Dimensional Analysis of Hemodialysis." Open Biomedical Engineering Journal 4, no. 1 (July 9, 2010): 138–55. http://dx.doi.org/10.2174/1874120701004010138.

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Background: Non-dimensional analysis is a powerful approach that can be applied to multivariate problems to better understand their behaviour and interpret complex interactions of variables. It is has not been rigorously applied to the parameters that define renal dialysis treatments and may provide insight into the planning of hemodialysis treatments. Methods: Buckingham’s non-dimensional approach was applied to the parameters that define hemodialysis treatments. Non-dimensional groups were derived with knowledge of a mass transfer model and independent of it. Using a mass transfer model, the derived non-dimensional groups were plotted to develop an understanding of key relationships governing hemodialysis and toxin profiles in patients with end-stage renal disease. Results: Three non-dimensional groups are sufficient to describe hemodialysis, if there is no residual renal function (RRF). The non-dimensional groups found represent (1) the number of half-lives that characterize the mass transfer, (2) the toxin concentration divided by the rise in toxin concentration without dialysis for the cycle time (the inverse of the dialysis frequency), and (3) the ratio of dialysis time to the cycle time. If there is RRF, one additional non-dimensional group is needed (the ratio between cycle time and intradialytic elimination rate constant). Alternate non-dimensional groups can be derived from the four unique groups. Conclusions: Physical interpretation of the non-dimensional groups allows for greater insight into the parameters that determine dialysis effectiveness. This technique can be applied to any toxin and facilitates a greater understanding of dialysis treatment options. Quantitative measures of dialysis adequacy should be based on dimensional variables.
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ISHIDA, Ryohei. "Three Dimensional Non-Linear Truss Analysis." Proceedings of the Space Engineering Conference 2017.26 (2017): 2A1. http://dx.doi.org/10.1299/jsmesec.2017.26.2a1.

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Yuliastuti, Yuliastuti, Heri Syaeful, Arifan J. Syahbana, Euis E. Alhakim, and Tagor M. Sembiring. "ONE DIMENSIONAL SEISMIC RESPONSE ANALYSIS AT THE NON-COMMERCIAL NUCLEAR REACTOR SITE, SERPONG - INDONESIA." Rudarsko-geološko-naftni zbornik 36, no. 2 (2021): 1–10. http://dx.doi.org/10.17794/rgn.2021.2.1.

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One dimensional seismic response analysis on the ground surface of the Non-Commercial Power Reactor (RDNK) site based on the mean uniform hazard spectrum (UHS) and disaggregation analysis has been conducted. The study’s objective was to perform an analysis on site-specific response spectra on the ground surface based on existing mean UHS and disaggregation data of the site that correspond to a 1,000 and 10,000 year return period of earthquakes in compliance with the national nuclear regulatory body requirements of Indonesia. Detailed site characterization was defined based on secondary data of a geotechnical drill-hole, seismic cross-hole, downhole data, and microtremor array data. The dynamic site characteristic analysis was presented along with strong motion selection and processing using two types of strong motion datasets. An investigation of strong motion selection, spectral matching, and scaling has been presented as an essential step in ground motion processing. One-dimensional equivalent linear analysis simulation was performed by computing the processed ground motions. A seismic design spectrum and ground surface response spectra from the two datasets of strong motion, both corresponding to a 10,000 and 1,000 year return period, are presented at the end of this study. This study has shown that in order to establish the appropriate seismic response design spectrum, site-specific data and seismic hazard analysis must be immensely considered.
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Mironchenko, Andrii, and Fabian Wirth. "Non-coercive Lyapunov functions for infinite-dimensional systems." Journal of Differential Equations 266, no. 11 (May 2019): 7038–72. http://dx.doi.org/10.1016/j.jde.2018.11.026.

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Bronstein, Alexander M., Michael M. Bronstein, Alfred M. Bruckstein, and Ron Kimmel. "Analysis of Two-Dimensional Non-Rigid Shapes." International Journal of Computer Vision 78, no. 1 (September 15, 2007): 67–88. http://dx.doi.org/10.1007/s11263-007-0078-4.

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Jadvani, Nandit, Vikas Singh Dhiraj, Samarth Joshi, and Kanak Kalita. "Non-Dimensional Stress Analysis of Orthotropic Laminates." Materials Focus 6, no. 1 (February 1, 2017): 63–71. http://dx.doi.org/10.1166/mat.2017.1377.

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Bellazzini, J., V. Benci, and M. Ghimenti. "Periodic orbits of a one-dimensional non-autonomous Hamiltonian system." Journal of Differential Equations 230, no. 1 (November 2006): 275–94. http://dx.doi.org/10.1016/j.jde.2006.04.011.

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Berezansky, Yu M. "Infinite-dimensional non-gaussian analysis and generalized translation operators." Functional Analysis and Its Applications 30, no. 4 (October 1996): 269–72. http://dx.doi.org/10.1007/bf02509620.

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INOUE, Kohei, Kenji HARA, and Kiichi URAHAMA. "Non-iterative Symmetric Two-Dimensional Linear Discriminant Analysis." IEICE Transactions on Information and Systems E94-D, no. 4 (2011): 926–29. http://dx.doi.org/10.1587/transinf.e94.d.926.

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Dissertations / Theses on the topic "Non-dimensional analysis"

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PACHAS, MAURO ARTEMIO CARRION. "THREE-DIMENSIONAL DETERMINISTIC AND NON DETERMINISTIC LIMIT ANALYSIS." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2004. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=5750@1.

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PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO
O presente trabalho tem como objetivo estudar o comportamento de estruturas geotécnicas mediante o uso de Análise Limite Numérica. Para isto foi desenvolvido o programa GEOLIMA (GEOtechnical LIMit Analysis) com base na teoria de Análise Limite Numérica utilizando o Método de Elementos Finitos (MEF), considerando problemas bidimensionais e tridimensionais. Devido ao fato das propriedades do solo serem variáveis aleatórias, a Análise Não Determinística também foi considerada mediante o uso do Método Estatístico Linear e do Método de Monte Carlo. Inicialmente, são apresentados os fundamentos da teoria de Análise Limite Determinística e sua formulação mista pelo Método de Elementos Finitos. A seguir são apresentados os fundamentos de Análise Não Determinística, onde os métodos Estatístico Linear e Monte Carlo são descritos. As fases de desenvolvimento do GEOLIMA são descritas de forma resumida e a validação é feita mediante a comparação de resultados obtidos com soluções analíticas ou outras soluções. A seguir, uma aplicação em 2D é apresentada com a finalidade de ilustrar a Análise Limite Determinística e Não Determinística mediante o método Estatístico Linear e o método de Monte Carlo. Finalmente, duas aplicações em 3D são apresentadas: um problema relativo à frente de escavação de um túnel e um estudo de painéis de mineração. Os resultados deste trabalho indicam a viabilidade de usar Análise Limite Determinística e Não Determinística no estudo de problemas geotécnicos.
The present work has the purpose of studying the behavior of geotechnical structures by means of numerical analysis. For this, program GEOLIMA (GEOtechnical LIMit Analysis) was developed based on the theory of Numerical Limit Analysis using the Finite Element Method (FEM), considering bidimensional and three-dimensional problems. Due to the fact that the properties of the ground are generally random variables, Non Deterministic Analysis was also considered by means of the Linear Statistical and the Monte Carlo Methods. Initially, the fundamentals of Deterministic Limit Analysis and its mixed formulation are presented. Then, the fundamentals of Non Deterministic Theory are presented, and the Linear Statistic and the Monte Carlo Methods are described. The development phases of GEOLIMA are briefly described. Its validation is made by comparing the results obtained with analytical solutions or other solutions. Following, a 2D application is made with the purpose of illustrating Deterministic and Non Deterministic Limit Analysis. Finally, two 3D applications are presented: a problem related to the excavation of a tunnel front and a problem related to mining panels. The results of this work indicate the viability of using Deterministic and Non Deterministic Limit Analysis in the study of geotechnical problems.
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Yablonsky, Eugene. "Characterization of operators in non-gaussian infinite dimensional analysis." The Ohio State University, 2003. http://rave.ohiolink.edu/etdc/view?acc_num=osu1054787409.

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Starowicz, Sharon Ann. "A non-dimensional analysis of cardiovascular function and thermoregulation." Thesis, Virginia Polytechnic Institute and State University, 1986. http://hdl.handle.net/10919/101150.

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The cardiovascular system plays a vital role in protecting the body from temperature extremes due to its unique ability to store, transport, and dissipate heat. A comprehensive study of the thermoregulatory aspects of the system is severely limited by its complexity and the interdependency of its many component variables. Before a formal study can be initiated, certain fundamental properties of the cardiovascular system must be established and the physical processes associated with heat and mass transport must first be understood. To this end, over six hundred variables relating to the system's heat transport characteristics were identified. The variables were grouped to form dimensionless quantities using the Buckingham Pi Theorem. Each dimensionless quantity, or parameter, is composed of definable physical quantities that reflect the interaction between various components of the system. From the analysis, a series of reference scales was identified and, in turn, used to facilitate the physical interpretation of each resulting parameter. As a result of this analysis, a working set of physical and experimental quantities was derived to identify significant heat and mass transport processes involved in cardiovascular thermoregulation and to establish the relative rate at which these processes occur.
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Elfarra, Monier Ali Supervisor :. Akmandor İ Sinan. "Two dimensional finite volume weighted essentially non-oscillatory euler schemes with uniform and non-uniform grid coefficients." Ankara : METU, 2005. http://etd.lib.metu.edu.tr/upload/2/12605898/index.pdf.

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Elfarra, Monier Ali. "Two-dimensional Finite Volume Weighted Essentially Non-oscillatory Euler Schemes With Uniform And Non-uniform Grid Coefficients." Master's thesis, METU, 2005. http://etd.lib.metu.edu.tr/upload/2/12605898/index.pdf.

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In this thesis, Finite Volume Weighted Essentially Non-Oscillatory (FV-WENO) codes for one and two-dimensional discretised Euler equations are developed. The construction and application of the FV-WENO scheme and codes will be described. Also the effects of the grid coefficients as well as the effect of the Gaussian Quadrature on the solution have been tested and discussed. WENO schemes are high order accurate schemes designed for problems with piecewise smooth solutions containing discontinuities. The key idea lies at the high approximation level, where a convex combination of all the candidate stencils is used with certain weights. Those weights are used to eliminate the stencils, which contain discontinuity. WENO schemes have been quite successful in applications, especially for problems containing both shocks and complicated smooth solution structures. The applications tested in this thesis are the Diverging Nozzle, Shock Vortex Interaction, Supersonic Channel Flow, Flow over Bump, and supersonic Staggered Wedge Cascade. The numerical solutions for the diverging nozzle and the supersonic channel flow are compared with the analytical solutions. The results for the shock vortex interaction are compared with the Roe scheme results. The results for the bump flow and the supersonic staggered cascade are compared with results from literature.
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Le, Gros Brian Neil. "Three-dimensional, non-linear finite element analysis, and elastic modulus optimization of a geometry for a non-metallic femoral stem." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2002. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp05/MQ65632.pdf.

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Dudziak, William James. "PRESENTATION AND ANALYSIS OF A MULTI-DIMENSIONAL INTERPOLATION FUNCTION FOR NON-UNIFORM DATA: MICROSPHERE PROJECTION." University of Akron / OhioLINK, 2007. http://rave.ohiolink.edu/etdc/view?acc_num=akron1183403994.

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Ho, John Rong Ming. "Higher-order kinematic error sensitivity analysis and optimum dimensional tolerancing of dyad and non-dyad mechanisms." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/mq23340.pdf.

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Burger, Heidi. "Isogeometric Analysis: Fundamentals and details of implementation. From first steps to two-dimensional non-linear problems." Master's thesis, Faculty of Engineering and the Built Environment, 2018. http://hdl.handle.net/11427/30008.

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Isogeometric analysis (IGA) is a computational analysis technique that can serve as an alternative to the traditional finite element method (FEM) in approximating solutions to differential equations. IGA is not necessarily more efficient that traditional FEM, but because of its nature, can naturally handle a greater variety of complex geometries. IGA is based on the use of NURBS (non-uniform rational B-splines), mathematical descriptions of geometry which are the standard of representing geometry in computer aided design (CAD) modeling software. IGA therefore links the CAD world to the world of analysis. Traditional FEM was developed before NURBS, in the 1950s and therefore developed quite separately. This project focuses on the fundamentals and implementation of IGA for problems, including one-dimensional, two-dimensional scalar, two-dimensional vector-valued and simple non-linear problems. For each new problem, the underlying mathematics is developed and the implementation is discussed in detail. One of the major contributions of this project is considered to be the detail in which the implementation of the Neumann boundary condition is described. There is none of this level of detail in any of the available literature. All problems solved are demonstrative and was written in a modular way that is easy to read and understand. Furthermore, how to extract NURBS data from CAD software is discussed, which would prove useful for future problems with more complex geometry. While the work done in this project is not considered novel, the thoroughness in which the project was approached is hoped to be useful for future projects. From this project, the work can be expanded to more complex geometries, multi-patch problems with the help of CAD programs or more complex non-linear problems.
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雅史, 齋藤. "Non-invasive assessment of arterial stiffness by pulse wave analysis : in vivo measurements and one-dimensional theoretical model." Thesis, https://doors.doshisha.ac.jp/opac/opac_link/bibid/BB12426688/?lang=0, 2012. https://doors.doshisha.ac.jp/opac/opac_link/bibid/BB12426688/?lang=0.

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Books on the topic "Non-dimensional analysis"

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Lee, B. H. K. Flutter analysis of a two-dimensional airfoil with cubic non-linear restoring force. Ottawa: National Aeronautical Establishment, 1986.

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Hitschfeld, Nancy. Grid generation for three-dimensional non-rectangular semiconductor devices. Konstanz: Hartung-Gorre, 1993.

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1931-, Abarbanel Saul S., Turkel E, and Institute for Computer Applications in Science and Engineering., eds. A far-field non-reflecting boundary condition for two-dimensional wake flows. Hampton, VA: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1995.

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Danowitz, Jeffrey S. A far-field non-reflecting boundary condition for two-dimensional wake flows. Hampton, Va: Institute for Computer Applications in Science and Engineering, 1995.

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King, Patricia Anne. A three-dimensional kinematic analysis of the forward long swing on rings comparing elite and non-elite male gymnasts. Cardiff: University of Wales Institute, Cardiff, 1999.

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Casadei, F. EURDYN-ID: A computer code for the one-dimensional non-linear dynamic analysis of structural systems : description a users manual (release 1). Luxembourg: Commission of the European Communities, 1985.

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Connes, Alain. Quanta of maths: Conference in honor of Alain Connes, non commutative geometry, Institut Henri Poincaré, Institut des hautes études scientifiques, Institut de mathématiques de Jussieu, Paris, France, March 29-April 6, 2007. Providence, R.I: American Mathematical Society, 2010.

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Poincaré, Institut Henri, Institut des hautes études scientifiques (Paris, France), and Institut de mathématiques de Jussieu, eds. Quanta of maths: Conference in honor of Alain Connes, non commutative geometry, Institut Henri Poincaré, Institut des hautes études scientifiques, Institut de mathématiques de Jussieu, Paris, France, March 29-April 6, 2007. Providence, R.I: American Mathematical Society, 2010.

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Escudier, Marcel. Units of measurement, dimensions, and dimensional analysis. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198719878.003.0003.

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In this chapter the crucial role of units and dimensions in the analysis of any problem involving physical quantities is explained. The International System of Units (SI) is introduced. The major advantage of collecting the physical quantities, which are included in either a theoretical analysis or an experiment, into non-dimensional groups is shown to be a reduction in the number of quantities which need to be considered separately. This process, known as dimensional analysis, is based upon the principle of dimensional homogeneity. Buckingham’s Π‎ theorem is introduced as a method for determining the number of non-dimensional groups (the Π‎’s) corresponding with a set of dimensional quantities and their dimensions. A systematic and simple procedure for identifying these groups is the sequential elimination of dimensions. The scale-up from a model to a geometrically similar full-size version is shown to require dynamic similarity. The definitions and names of the non-dimensional groups most frequently encountered in fluid mechanics have been introduced and their physical significance explained.
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A far-field non-reflecting boundary condition for two-dimensional wake flows. Hampton, VA: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1995.

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Book chapters on the topic "Non-dimensional analysis"

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Sassov, Alexander, and Erik Buelens. "Non-Destructive 3-Dimensional Microtomography for Metallic Foams." In Microstructural Investigation and Analysis, 57–62. Weinheim, FRG: Wiley-VCH Verlag GmbH & Co. KGaA, 2006. http://dx.doi.org/10.1002/3527606165.ch9.

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Rossell, David, Donatello Telesca, and Valen E. Johnson. "High-Dimensional Bayesian Classifiers Using Non-Local Priors." In Statistical Models for Data Analysis, 305–13. Heidelberg: Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-00032-9_35.

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Stavre, Ruxandra. "Optimal Control of Non Stationary, Three Dimensional Micropolar Flows." In Analysis and Optimization of Differential Systems, 399–408. Boston, MA: Springer US, 2003. http://dx.doi.org/10.1007/978-0-387-35690-7_40.

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Belyaev, Alexander K., Nikita F. Morozov, Peter E. Tovstik, and Tatyana P. Tovstik. "Some Two-dimensional Non-classical Models of Anisotropic Plates." In Analysis of Shells, Plates, and Beams, 75–94. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-47491-1_5.

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Rodrigues, José Francisco, and JosJosé Miguel Urbano. "On a Three-Dimensional Convective Stefan Problem for a Non-Newtonian Fluid." In Applied Nonlinear Analysis, 457–68. Boston, MA: Springer US, 2002. http://dx.doi.org/10.1007/0-306-47096-9_31.

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Bianchini, Stefano, and Paolo Bonicatto. "Failure of the Chain Rule in the Non Steady Two-Dimensional Setting." In Current Research in Nonlinear Analysis, 33–60. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-89800-1_2.

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Mazzei, Arnaldo J., and Richard A. Scott. "Numerical Modeling of One-Dimensional Wave Propagation in Non-Homogeneous Materials." In Topics in Modal Analysis II, Volume 6, 111–27. New York, NY: Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-2419-2_11.

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Hössinger, A., R. Minixhofer, and S. Selberherr. "Full Three-Dimensional Analysis of a Non-Volatile Memory Cell." In Simulation of Semiconductor Processes and Devices 2004, 129–32. Vienna: Springer Vienna, 2004. http://dx.doi.org/10.1007/978-3-7091-0624-2_31.

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Amiri, Iraj Sadegh, Hossein Mohammadi, and Mahdiar Hosseinghadiry. "Three-Dimensional Analytical Model of the Non-Classical Three-Gate SOI MESFET." In Device Physics, Modeling, Technology, and Analysis for Silicon MESFET, 73–92. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-04513-5_5.

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Tosaka, N., and R. Sugino. "Boundary Element Analysis of Non-Linear Liquid Motion in Two-Dimensional Containers." In Boundary Integral Methods, 490–99. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-642-85463-7_48.

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Conference papers on the topic "Non-dimensional analysis"

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Inoue, K., and K. Urahama. "Non-Iterative Two-Dimensional Linear Discriminant Analysis." In 18th International Conference on Pattern Recognition (ICPR'06). IEEE, 2006. http://dx.doi.org/10.1109/icpr.2006.860.

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Clark, John P. "An Alternate Means to Form Non-Dimensional Products in Dimensional Analysis." In ASME Turbo Expo 2022: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2022. http://dx.doi.org/10.1115/gt2022-81558.

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Abstract Dimensional analysis is taught early in an undergraduate curriculum for mechanical engineering, usually during the very first course in fluid mechanics. Such analysis has its roots in the work of Lord Rayleigh, and the mechanics of the process as typically taught to undergraduates follows directly from the classic paper due to Buckingham on what is now known as the Pi Theorem. Students are meant to learn that dimensional analysis is a powerful tool for: developing insight with respect to flow physics, creating new models of physical processes, guiding the performance of experiments and flowfield simulations, aiding the sensible presentation of technical results, and fostering the replication of experiments and simulations. Unfortunately, the usual method for finding non-dimensional products taught to undergraduates requires the selection of scaling variables that can seem arbitrary and the solution of a number of sets of simultaneous equations that is typically tedious and prone to simple errors of arithmetic. As a consequence, students often fail to gain the intended appreciation for the usefulness of dimensional analysis. Fortunately, another technique for forming Π products that does not suffer from these same drawbacks was presented by the late Prof. B. S. Massey of University College London. This paper is intended to disseminate his so-called “step-by-step method” to a wider audience and thus to encourage the adoption of the technique for use in undergraduate curricula.
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Pashah, Sulaman, Abul Fazal M. Arif, and Syed M. Zubair. "Non-Dimensional Finite Element Formulation for Thermal Problems." In ASME 2012 11th Biennial Conference on Engineering Systems Design and Analysis. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/esda2012-82421.

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The use of dimensional analysis and dimensionless parameters is very common in the field of heat transfer; nevertheless the concept of non-dimensional finite element formulation has been applied to a limited type of thermo-fluid problems. The non-dimensional finite element method should provide the dimensionless solution for a given problem. The aim of present work is to develop a non-dimensional thermal finite element for getting dimensionless solution of the problems that do not have a closed form solution. An example is a fin (or extended surface) design. Fin efficiency is a performance characteristic that can be used as design criterion; thus closed form dimensionless solutions for fin efficiency are available in the literature. The results are for different geometry, single material fins. In case, if the fin problem has some geometric and/or material complexities then closed form solutions are not available and finite element approach can be used. However, the obtained finite element solution would not be in dimensionless form. For example, no closed form solutions are available for variable thickness composite fins (i.e. a fin having a base material with a coating over its surface), and the literature shows that finite element solution has been used to study thermal performance of the variable thickness composite fins. Therefore, non-dimensional finite element approach can be applied to directly obtain the dimensionless solution for the problem. The current work consists of presenting a non-dimensional finite element formulation for thermal problems. The element formulation is first validated by solving a test case study that has known closed form solution. The objective is to demonstrate the usefulness of the non-dimensional finite element approach by obtaining dimensionless finite element solutions for some applied problems that do not have a closed form solution.
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CHATZIKONSTANTINOU, THOMAS. "Numerical analysis of three-dimensional non rigid wings." In 10th Aerodynamic Decelerator Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1989. http://dx.doi.org/10.2514/6.1989-907.

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Lee, Byungwoo, Mohammed M. Shalaby, Ronald J. Collins, Victor Crisan, Stephen A. Walls, Dean M. Robinson, and Kazuhiro Saitou. "Variation Analysis of Three Dimensional non-rigid Assemblies." In 2007 IEEE International Symposium on Assembly and Manufacturing. IEEE, 2007. http://dx.doi.org/10.1109/isam.2007.4288442.

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Busuioc, David, Mira Kim, and Hoi Dick Ng. "Stabilization of one-dimensional pulsating detonation instability using initial density non-uniformity." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2020. AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0081594.

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Coutinho, Leonidas F., and Alberto Tomagna. "Non Dimensional Graphs for the Vibration Analysis of C.V. Driveshafts." In 1995 SAE Brasil. 400 Commonwealth Drive, Warrendale, PA, United States: SAE International, 1995. http://dx.doi.org/10.4271/952198.

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Ahmadian, Mehdi, and Emmanuel Blanchard. "Non-Dimensional Analysis of the Performance of Semiactive Vehicle Suspensions." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-35689.

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An analytical study that evaluates the response characteristics of a two-degree-of freedom quarter-car model using passive and semi-active dampers is provided as an extension to the results published by Chalasani for active suspensions. The behavior of a semi-actively suspended vehicle is evaluated using the hybrid control policy, and compared to the behavior of a passively suspended vehicle. The relationship between vibration isolation, suspension deflection, and road-holding is studied for the quarter-car model. Three performance indices are used as a measure of vibration isolation (which can be seen as a comfort index), suspension travel requirements, and road-holding quality. These indices are based on the mean square responses to a white noise velocity input for three motion variables: the vertical acceleration of the sprung mass, the deflection of the suspension, and the deflection of the tire, respectively. The results of this study indicate that the hybrid control policy yields better comfort than a passive suspension, without reducing the road-holding quality or increasing the suspension displacement for typical passenger cars.
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Cheng, Yuan. "Non-dimensional Peak Breach Outflow Analysis with Dam Breach Parameters." In Joint Conference on Water Resource Engineering and Water Resources Planning and Management 2000. Reston, VA: American Society of Civil Engineers, 2000. http://dx.doi.org/10.1061/40517(2000)91.

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Mishkinis, Donatas, Christof Sodtke, Jay Ochterbeck, Jentung Ku, and Dan Butler. "Non-dimensional Analysis and Scaling Issues in Loop Heat Pipes." In 41st Aerospace Sciences Meeting and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2003. http://dx.doi.org/10.2514/6.2003-341.

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Reports on the topic "Non-dimensional analysis"

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Cawlfield, J. D., and Ming-Chee Wu. Stochastic analysis of contaminant transport: One-dimensional non-reactive and reactive cases. Office of Scientific and Technical Information (OSTI), December 1990. http://dx.doi.org/10.2172/6279291.

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Patel, Reena, David Thompson, Guillermo Riveros, Wayne Hodo, John Peters, and Felipe Acosta. Dimensional analysis of structural response in complex biological structures. Engineer Research and Development Center (U.S.), July 2021. http://dx.doi.org/10.21079/11681/41082.

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The solution to many engineering problems is obtained through the combination of analytical, computational and experimental methods. In many cases, cost or size constraints limit testing of full-scale articles. Similitude allows observations made in the laboratory to be used to extrapolate the behavior to full-scale system by establishing relationships between the results obtained in a scaled experiment and those anticipated for the full-scale prototype. This paper describes the application of the Buckingham Pi theorem to develop a set of non-dimensional parameters that are appropriate for describing the problem of a distributed load applied to the rostrum of the paddlefish. This problem is of interest because previous research has demonstrated that the rostrum is a very efficient structural system. The ultimate goal is to estimate the response of a complex, bio-inspired structure based on the rostrum to blast load. The derived similitude laws are verified through a series of numerical experiments having a maximum error of 3.39%.
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Ravazdezh, Faezeh, Julio A. Ramirez, and Ghadir Haikal. Improved Live Load Distribution Factors for Use in Load Rating of Older Slab and T-Beam Reinforced Concrete Bridges. Purdue University, 2021. http://dx.doi.org/10.5703/1288284317303.

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This report describes a methodology for demand estimate through the improvement of load distribution factors in reinforced concrete flat-slab and T-beam bridges. The proposed distribution factors are supported on three-dimensional (3D) Finite Element (FE) analysis tools. The Conventional Load Rating (CLR) method currently in use by INDOT relies on a two-dimensional (2D) analysis based on beam theory. This approach may overestimate bridge demand as the result of neglecting the presence of parapets and sidewalks present in these bridges. The 3D behavior of a bridge and its response could be better modeled through a 3D computational model by including the participation of all elements. This research aims to investigate the potential effect of railings, parapets, sidewalks, and end-diaphragms on demand evaluation for purposes of rating reinforced concrete flat-slab and T-beam bridges using 3D finite element analysis. The project goal is to improve the current lateral load distribution factor by addressing the limitations resulting from the 2D analysis and ignoring the contribution of non-structural components. Through a parametric study of the slab and T-beam bridges in Indiana, the impact of selected parameters on demand estimates was estimated, and modifications to the current load distribution factors in AASHTO were proposed.
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Jury, William A., and David Russo. Characterization of Field-Scale Solute Transport in Spatially Variable Unsaturated Field Soils. United States Department of Agriculture, January 1994. http://dx.doi.org/10.32747/1994.7568772.bard.

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This report describes activity conducted in several lines of research associated with field-scale water and solute processes. A major effort was put forth developing a stochastic continuum analysis for an important class of problems involving flow of reactive and non reactive chemicals under steady unsaturated flow. The field-scale velocity covariance tensor has been derived from local soil properties and their variability, producing a large-scale description of the medium that embodies all of the local variability in a statistical sense. Special cases of anisotropic medium properties not aligned along the flow direction of spatially variable solute sorption were analysed in detail, revealing a dependence of solute spreading on subtle features of the variability of the medium, such as cross-correlations between sorption and conductivity. A novel method was developed and tested for measuring hydraulic conductivity at the scale of observation through the interpretation of a solute transport outflow curve as a stochastic-convective process. This undertaking provided a host of new K(q) relationships for existing solute experiments and also laid the foundation for future work developing a self-consistent description of flow and transport under these conditions. Numerical codes were developed for calculating K(q) functions for a variety of solute pulse outflow shapes, including lognormal, Fickian, Mobile-Immobile water, and bimodal. Testing of this new approach against conventional methodology was mixed, and agreed most closely when the assumptions of the new method were met. We conclude that this procedure offers a valuable alternative to conventional methods of measuring K(q), particularly when the application of the method is at a scale (e.g. and agricultural field) that is large compared to the common scale at which conventional K(q) devices operate. The same problem was approached from a numerical perspective, by studying the feasibility of inverting a solute outflow signal to yield the hydraulic parameters of the medium that housed the experiment. We found that the inverse problem was solvable under certain conditions, depending on the amount of noise in the signal and the degree of heterogeneity in the medium. A realistic three dimensional model of transient water and solute movement in a heterogeneous medium that contains plant roots was developed and tested. The approach taken was to generate a single realization of this complex flow event, and examine the results to see whether features were present that might be overlooked in less sophisticated model efforts. One such feature revealed is transverse dispersion, which is a critically important component in the development of macrodispersion in the longitudinal direction. The lateral mixing that was observed greatly exceeded that predicted from simpler approaches, suggesting that at least part of the important physics of the mixing process is embedded in the complexity of three dimensional flow. Another important finding was the observation that variability can produce a pseudo-kinetic behavior for solute adsorption, even when the local models used are equilibrium.
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Borrett, Veronica, Melissa Hanham, Gunnar Jeremias, Jonathan Forman, James Revill, John Borrie, Crister Åstot, et al. Science and Technology for WMD Compliance Monitoring and Investigations. The United Nations Institute for Disarmament Research, December 2020. http://dx.doi.org/10.37559/wmd/20/wmdce11.

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The integration of novel technologies for monitoring and investigating compliance can enhance the effectiveness of regimes related to weapons of mass destruction (WMD). This report looks at the potential role of four novel approaches based on recent technological advances – remote sensing tools; open-source satellite data; open-source trade data; and artificial intelligence (AI) – in monitoring and investigating compliance with WMD treaties. The report consists of short essays from leading experts that introduce particular technologies, discuss their applications in WMD regimes, and consider some of the wider economic and political requirements for their adoption. The growing number of space-based sensors is raising confidence in what open-source satellite systems can observe and record. These systems are being combined with local knowledge and technical expertise through social media platforms, resulting in dramatically improved coverage of the Earth’s surface. These open-source tools can complement and augment existing treaty verification and monitoring capabilities in the nuclear regime. Remote sensing tools, such as uncrewed vehicles, can assist investigators by enabling the remote collection of data and chemical samples. In turn, this data can provide valuable indicators, which, in combination with other data, can inform assessments of compliance with the chemical weapons regime. In addition, remote sensing tools can provide inspectors with real time two- or three-dimensional images of a site prior to entry or at the point of inspection. This can facilitate on-site investigations. In the past, trade data has proven valuable in informing assessments of non-compliance with the biological weapons regime. Today, it is possible to analyse trade data through online, public databases. In combination with other methods, open-source trade data could be used to detect anomalies in the biological weapons regime. AI and the digitization of data create new ways to enhance confidence in compliance with WMD regimes. In the context of the chemical weapons regime, the digitization of the chemical industry as part of a wider shift to Industry 4.0 presents possibilities for streamlining declarations under the Chemical Weapons Convention (CWC) and for facilitating CWC regulatory requirements.
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Russo, David, and William A. Jury. Characterization of Preferential Flow in Spatially Variable Unsaturated Field Soils. United States Department of Agriculture, October 2001. http://dx.doi.org/10.32747/2001.7580681.bard.

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Preferential flow appears to be the rule rather than the exception in field soils and should be considered in the quantitative description of solute transport in the unsaturated zone of heterogeneous formations on the field scale. This study focused on both experimental monitoring and computer simulations to identify important features of preferential flow in the natural environment. The specific objectives of this research were: (1) To conduct dye tracing and multiple tracer experiments on undisturbed field plots to reveal information about the flow velocity, spatial prevalence, and time evolution of a preferential flow event; (2) To conduct numerical experiments to determine (i) whether preferential flow observations are consistent with the Richards flow equation; and (ii) whether volume averaging over a domain experiencing preferential flow is possible; (3) To develop a stochastic or a transfer function model that incorporates preferential flow. Regarding our field work, we succeeded to develop a new method for detecting flow patterns faithfully representing the movement of water flow paths in structured and non-structured soils. The method which is based on application of ammonium carbonate was tested in a laboratory study. Its use to detect preferential flow was also illustrated in a field experiment. It was shown that ammonium carbonate is a more conservative tracer of the water front than the popular Brilliant Blue. In our detailed field experiments we also succeeded to document the occurrence of preferential flow during soil water redistribution following the cessation of precipitation in several structureless field soils. Symptoms of the unstable flow observed included vertical fingers 20 - 60 cm wide, isolated patches, and highly concentrated areas of the tracers in the transmission zone. Soil moisture and tracer measurements revealed that the redistribution flow became fingered following a reversal of matric potential gradient within the wetted area. Regarding our simulation work, we succeeded to develop, implement and test a finite- difference, numerical scheme for solving the equations governing flow and transport in three-dimensional, heterogeneous, bimodal, flow domains with highly contrasting soil materials. Results of our simulations demonstrated that under steady-state flow conditions, the embedded clay lenses (with very low conductivity) in bimodal formations may induce preferential flow, and, consequently, may enhance considerably both the solute spreading and the skewing of the solute breakthrough curves. On the other hand, under transient flow conditions associated with substantial redistribution periods with diminishing water saturation, the effect of the embedded clay lenses on the flow and the transport might diminish substantially. Regarding our stochastic modeling effort, we succeeded to develop a theoretical framework for flow and transport in bimodal, heterogeneous, unsaturated formations, based on a stochastic continuum presentation of the flow and a general Lagrangian description of the transport. Results of our analysis show that, generally, a bimodal distribution of the formation properties, characterized by a relatively complex spatial correlation structure, contributes to the variability in water velocity and, consequently, may considerably enhance solute spreading. This applies especially in formations in which: (i) the correlation length scales and the variances of the soil properties associated with the embedded soil are much larger than those of the background soil; (ii) the contrast between mean properties of the two subdomains is large; (iii) mean water saturation is relatively small; and (iv) the volume fraction of the flow domain occupied by the embedded soil is relatively large.
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Warrick, Arthur W., Gideon Oron, Mary M. Poulton, Rony Wallach, and Alex Furman. Multi-Dimensional Infiltration and Distribution of Water of Different Qualities and Solutes Related Through Artificial Neural Networks. United States Department of Agriculture, January 2009. http://dx.doi.org/10.32747/2009.7695865.bard.

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The project exploits the use of Artificial Neural Networks (ANN) to describe infiltration, water, and solute distribution in the soil during irrigation. It provides a method of simulating water and solute movement in the subsurface which, in principle, is different and has some advantages over the more common approach of numerical modeling of flow and transport equations. The five objectives were (i) Numerically develop a database for the prediction of water and solute distribution for irrigation; (ii) Develop predictive models using ANN; (iii) Develop an experimental (laboratory) database of water distribution with time; within a transparent flow cell by high resolution CCD video camera; (iv) Conduct field studies to provide basic data for developing and testing the ANN; and (v) Investigate the inclusion of water quality [salinity and organic matter (OM)] in an ANN model used for predicting infiltration and subsurface water distribution. A major accomplishment was the successful use of Moment Analysis (MA) to characterize “plumes of water” applied by various types of irrigation (including drip and gravity sources). The general idea is to describe the subsurface water patterns statistically in terms of only a few (often 3) parameters which can then be predicted by the ANN. It was shown that ellipses (in two dimensions) or ellipsoids (in three dimensions) can be depicted about the center of the plume. Any fraction of water added can be related to a ‘‘probability’’ curve relating the size of the ellipse (or ellipsoid) that contains that amount of water. The initial test of an ANN to predict the moments (and hence the water plume) was with numerically generated data for infiltration from surface and subsurface drip line and point sources in three contrasting soils. The underlying dataset consisted of 1,684,500 vectors (5 soils×5 discharge rates×3 initial conditions×1,123 nodes×20 print times) where each vector had eleven elements consisting of initial water content, hydraulic properties of the soil, flow rate, time and space coordinates. The output is an estimate of subsurface water distribution for essentially any soil property, initial condition or flow rate from a drip source. Following the formal development of the ANN, we have prepared a “user-friendly” version in a spreadsheet environment (in “Excel”). The input data are selected from appropriate values and the output is instantaneous resulting in a picture of the resulting water plume. The MA has also proven valuable, on its own merit, in the description of the flow in soil under laboratory conditions for both wettable and repellant soils. This includes non-Darcian flow examples and redistribution and well as infiltration. Field experiments were conducted in different agricultural fields and various water qualities in Israel. The obtained results will be the basis for the further ANN models development. Regions of high repellence were identified primarily under the canopy of various orchard crops, including citrus and persimmons. Also, increasing OM in the applied water lead to greater repellency. Major scientific implications are that the ANN offers an alternative to conventional flow and transport modeling and that MA is a powerful technique for describing the subsurface water distributions for normal (wettable) and repellant soil. Implications of the field measurements point to the special role of OM in affecting wettability, both from the irrigation water and from soil accumulation below canopies. Implications for agriculture are that a modified approach for drip system design should be adopted for open area crops and orchards, and taking into account the OM components both in the soil and in the applied waters.
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CHARACTERISATION OF THE BEHAVIOUR OF BEAM-TO-COLUMN STEEL JOINTS UP TO FAILURE. The Hong Kong Institute of Steel Construction, September 2022. http://dx.doi.org/10.18057/ijasc.2022.18.3.5.

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The design of steel joints is currently dealt with in Eurocode 3 through the well-known “component method”. In particular, Part 1-8 of this standard provides guidance on how to apply the method to a wide range of joint configurations allowing to assess the latter’s initial rotational stiffness and resistance. Nonetheless, whenever a global structural plastic analysis is contemplated, provisions of Eurocode 3 are insufficient since no clear guidance on how to determine the ultimate resistance and the ultimate rotation capacity of joints is provided. In this paper, the full-range behaviour of beam-to-column steel joints is investigated using experimental, analytical, and numerical methods. A new analytical approach based on the component method is proposed and validated against five physical experiments. Through additional analytical expressions for the characterisation of basic components of steel joints, the proposed approach extends the applicability of the component method such that strain-hardening and ductility of components are accounted for. The results show a good agreement between the analytical prediction and the experimental results and also highlight specific limitations of the classical component method. Three-dimensional finite element (FE) models are also employed to simulate the behaviour of the tested beam-to-column joints. The results prove the accuracy of numerical models to simulate the non-linear response of steel joints emphasizing, however, the importance of proper modelling assumptions.
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SIMPLIFIED MODELLING OF NOVEL NON-WELDED JOINTS FOR MODULAR STEEL BUILDINGS. The Hong Kong Institute of Steel Construction, December 2021. http://dx.doi.org/10.18057/ijasc.2021.17.4.10.

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Prefabricated modular steel (PFMS) construction is a more efficient and safe method of constructing a high-quality building with less waste material and labour dependency than traditional steel construction. It is indeed critical to have a precise and valuable intermodular joining system that allows for efficient load transfer, safe handling, and optimal use of modular units' strength. Thus, the purpose of this study was to develop joints using tension bolts and solid tenons welded into the gusset plate (GP). These joints ensured rigid and secure connectivity in both horizontal and vertical directions for the modular units. Using the three-dimensional (3D) finite element (FE) analysis software ABAQUS, the study investigated the nonlinear lateral structural performance of the joint and two-storey modular steel building (MSB). The solid element FE models of joints were then simplified by introducing connectors and beam elements to enhance computational efficiency. Numerous parameters indicated that column tenons were important in determining the joint's structural performance. Moreover, with a standard deviation (SD) of 0.025, the developed connectors and beam element models accurately predicted the structural behaviour of the joints. As a result of their simplification, these joints demonstrated effective load distribution, seismic performance, and ductility while reducing computational time, effort, and complexity. The validity of the FE analysis was then determined by comparing the results to the thirteen joint bending tests performed in the reference.
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