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Literatura académica sobre el tema "Element matriciel"

Autor: Grafiati

Publicado: 4 de junio de 2021

Última modificación: 1 de febrero de 2022

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Artículos de revistas sobre el tema "Element matriciel"

1

Suárez P, Santiago A. "Estudio de elemento estructural con apoyo deslizante". Ciencia y Sociedad 31, n.º 4 (1 de diciembre de 2006): 520–32. http://dx.doi.org/10.22206/cys.2006.v31i4.pp520-532.

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Con el advenimiento de las computadoras digitales y la masificación de su uso fue posible viabilizar el análisis matricial de las estructuras. Se han desarrollado matrices de rigidez para elementos con diferentes tipos de restricciones. En este trabajo se desarrollará la matriz de rigidez de un elemento con apoyo deslizante en uno de sus nodos y se utilizarán estos resultados para analizar una estructura que tiene una barra apoyada de esta manera. Se realizará una comprobación de los resultados, analizando la estructura usando un método clásico no matricial y se compararán los resultados. Al final se llega a conclusiones que conducirán a una definición más exacta del término rigidez.

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2

Armstrong, John T. "Problem Elements and Spectrometry Problems in X-Ray Microanalysis: the Black Holes of the Periodic Table". Microscopy and Microanalysis 4, S2 (julio de 1998): 216–17. http://dx.doi.org/10.1017/s1431927600021206.

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Few quantitative analysis techniques attempt as large an extrapolation between the compositions of standards and samples than is attempted in electron microbeam x-ray emission analysis. In-situ x-ray microanalysis can be performed for essentially all elements in the periodic table in complex matricies that may contain, in extreme cases, thirty or more detectable elements. Analyses are attempted for the same elements, using the same standards, in various matrices whose average atomic numbers might range from 4 to 94. Unlike most analytical techniques, where suites of standards are synthesized having similar bulk compositions as the samples and bracketing the concentrations of the elements of interest, the standards employed in microbeam analysis are most commonly pure elements, simple oxides, or other binary element compounds. This is true even though matrix effects on electron retardation and scattering, x-ray absorption, and secondary x-ray fluorescence can cause major variations in the differences between relative intensity and relative concentration.

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3

Zingoni, Alphose. "Truss and Beam Finite Elements Revisited: A Derivation Based on Displacement-Field Decomposition". International Journal of Space Structures 11, n.º 4 (diciembre de 1996): 371–80. http://dx.doi.org/10.1177/026635119601100404.

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Where a finite element possesses symmetry properties, derivation of fundamental element matrices can be achieved more efficiently by decomposing the general displacement field into subspaces of the symmetry group describing the configuration of the element. In this paper, the procedure is illustrated by reference to the simple truss and beam elements, whose well-known consistent-mass matrices are obtained via the proposed method. However, the procedure is applicable to all one-, two- and three-dimensional finite elements, as long as the shape and node configuration of the element can be described by a specific symmetry group.

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4

Pan, Wen Jun y Zhi Wu Wei. "Reckoning for Element Characteristics Matrix of Space Timoshenko-Beam Based on Energy Variational Principle". Applied Mechanics and Materials 66-68 (julio de 2011): 1356–61. http://dx.doi.org/10.4028/www.scientific.net/amm.66-68.1356.

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To analyze and calculate the element characteristics matrices of space Timoshenko-beam, research work were carried out on the basis of energy variational principle. Displacement function for the space Timoshenko-beam were put forward, the expressions for element mass matrix, stiffness matrix and load array were deduced by energy functional extremum, and the explicit forms of element mass and stiffness matrices were integrated finally. Results show that the element mass and stiffness matrices computed by this method are consistent with those in related references. It has a good theoretical and practical value in the calculation for characteristics matrices of other elements.

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5

KIDGER, D. J. y I. M. SMITH. "EIGENVALUES OF ELEMENT STIFFNESS MATRICES. PART I: 2‐D PLANE ELEMENTS". Engineering Computations 9, n.º 3 (marzo de 1992): 307–16. http://dx.doi.org/10.1108/eb023868.

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6

KIDGER, D. J. y I. M. SMITH. "EIGENVALUES OF ELEMENT STIFFNESS MATRICES. PART II: 3‐D SOLID ELEMENTS". Engineering Computations 9, n.º 3 (marzo de 1992): 317–28. http://dx.doi.org/10.1108/eb023869.

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7

Fazio, P., K. Gowri y K. H. Ha. "Rectangular hybrid elements for the analysis of sandwich plate structures". Canadian Journal of Civil Engineering 14, n.º 4 (1 de agosto de 1987): 455–60. http://dx.doi.org/10.1139/l87-069.

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The structural behaviour of sandwich plate structures are characterized by transverse shear deformations in the core. The assumed stress hybrid finite element technique is particularly suitable for developing sandwich plate bending elements. In the present study, rectangular three-layer sandwich plate elements have been formulated using simple assumed stress functions. Numerical test problems have been solved to examine the convergence property and suitability of these elements. The results are compared with that of a complete quadratic stress mode element and with analytical solutions. Six degrees of freedom per node shell elements are formulated by combining the plate bending elements with membrane elements. A folded plate sandwich panel roof has been analyzed using these elements and the results are compared with the experimental values. The use of simple stress function gives satisfactory results and reduces the size of the matrices to be used, the length of the program, and the computation time for the formulation of element stiffness matrices. Key words: sandwich panel, structural analysis, finite element method, stress hybrid approach, folded plates.

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8

Zhou, Ling Yuan y Qiao Li. "Analysis of Reinforced Concrete Column Using a Beam-Column Element with a Meshed Section". Advanced Materials Research 255-260 (mayo de 2011): 1954–58. http://dx.doi.org/10.4028/www.scientific.net/amr.255-260.1954.

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A efficient 3D reinforced-concrete beam element based on the flexibility method and distributed nonlinearity theory is proposed, The sections of the beam element are divided into the plane isoparametric elements in this formulation, the section stiffness matrices are calculated through the integration of stress-strain relations of concrete including reinforcing steel effect in the section. The flexibility matrices of the sections are calculated by inverting the stiffness matrices, and the element flexibility matrix is formed through the force interpolation functions. The element stiffness matrix is evaluated through the element flexibility matrix. Finally, the buckling behaviors of a reinforced concrete beam under various eccentric loads are analyzed with the proposed formulation to illustrate its accuracy and computational efficiency.

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9

Farenick, D. R. "C*-Convexity and Matricial Ranges". Canadian Journal of Mathematics 44, n.º 2 (1 de abril de 1992): 280–97. http://dx.doi.org/10.4153/cjm-1992-019-1.

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AbstractC* -convex sets in matrix algebras are convex sets of matrices in which matrix-valued convex coefficients are admitted along with the usual scalar-valued convex coefficients. A Carathéodory-type theorem is developed for C*-convex hulls of compact sets of matrices, and applications of this theorem are given to the theory of matricial ranges. If T is an element in a unital C*-algebra , then for every n ∈ N, the n x n matricial range Wn(T) of T is a compact C* -convex set of n x n matrices. The basic relation W1(T) = conv σ-(T) is well known to hold if T exhibits the normal-like quality of having the spectral radius of β T + μ 1 coincide with the norm ||β T + μ 1|| for every pair of complex numbers β and μ. An extension of this relation to the matrix spaces is given by Theorem 2.6: Wn (T) is the C*-convex hull of the n x n matricial spectrum σn(T) of T if, for every B,M ∈ ℳn, the norm of T ⊗ B + 1 ⊗ M in ⊗ ℳn is the maximum value in {||∧⊗B + 1 ⊗M|| : Λ ∈ σn (T)}. The spatial matricial range of a Hilbert space operator is the analogue of the classical numerical range, although it can fail to be convex if n > 1. It is shown in § 3 that if T has a normal dilation N with σ (N) ⊂ σ (T), then the closure of the spatial matricial range of T is convex if and only if it is C*-convex.

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10

Leu, L. J. y C. W. Huang. "Stiffness Matrices for Linear and Buckling Analyses of Composite Beams with Partial Shear Connection". Journal of Mechanics 22, n.º 4 (diciembre de 2006): 299–309. http://dx.doi.org/10.1017/s1727719100000952.

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AbstractThis paper is concerned with linear and buckling analyses of composite beams with partial shear connection (partial composite beams) using the finite element method. Two elements derived from different types of shape functions are proposed in this study. The first element, referred to as exact, is based on the exact shape functions obtained by solving the differential equations governing the transverse displacement and the slip of the shear connector layer of a partial composite beam. The second element, referred to as approximate, is based on the conventional linear and cubic shape functions used in conventional axial and beam elements. By making use of these two types of shape functions, the elastic and geometric stiffness matrices can be derived explicitly from the strain energy and the load potential, respectively. Both types of elements can be used to carry out linear static and buckling analyses. As expected, the exact element is more accurate than the approximate element if the same discretization is adopted. However, the approximate element has the advantage of easy implementation since the expressions of its elastic and geometric stiffness matrices are very simple. Also, the solutions obtained from the approximate element converge very fast; with reasonable discretization, say 8 elements per member, very accurate solutions can be obtained.

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Tesis sobre el tema "Element matriciel"

1

Vaquer, Charles. "Optimisation du dimensionnement et comportement des matrices frettees". Toulouse 3, 1988. http://www.theses.fr/1988TOU30024.

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2

Ernenwein, René. "Mise au point d'un systeme de programmes vectorise et multitaches pour le calcul ab initio scf/ci sur cray 2". Université Louis Pasteur (Strasbourg) (1971-2008), 1988. http://www.theses.fr/1988STR13128.

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Application du formalisme de mc murchie et davidson au calcul vectoriel des integrales mono et bielectroniques en tirant parti de l'architecture a la fois vectorielle et parallele au superordinateur cray 2. Gain substantiel de performance dans le calcul scf par une utilisation judicieuse des elements de supermatrice reordonnes par rapport aux deux premiers indices. Par utilisation conjointe de la grande memoire et de l'adressage indirect vectoriel du cray 2, vectorisation du calcul de ces elements et des contributions a la matrice de fock

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3

Drechsler, Florian. "Über die Lösung von elliptischen Randwertproblemen mittels Gebietszerlegungstechniken, Hierarchischer Matrizen und der Methode der finiten Elemente". Doctoral thesis, Universitätsbibliothek Leipzig, 2011. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-68462.

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In dieser Arbeit entwickeln wir einen Löser für elliptische Randwertprobleme. Dazu diskretisieren wir ein Randwertproblem mittels der Methode der finiten Elemente und erhalten ein Gleichungssystem. Mittels Gebietszerlegungstechniken unterteilen wir das Gebiet der Differentialgleichung und können Teilprobleme des Randwertproblems definieren. Durch die Gebietszerlegung wird eine Hierarchie von Zerlegungen definiert, die wir mittels eines Gebietszerlegungsbaumes festhalten. Anhand dieses Baumes definieren wir nun einen Löser für das Randwertproblem. Dabei berechnen wir die verschiedenen Matrizen des Lösers durch den sogenannten HDD-Algorithmus (engl. hierarchical domain decomposition). Die meisten der zu erstellenden Matrizen sind dabei vollbesetzt, weshalb wir sie mittels Hierarchischer Matrizen approximieren. Mit Hilfe der Hierarchischen Matrizen können wir die Matrizen mit einem fast linearen Aufwand erstellen und speichern. Der Aufwand der Matrixoperationen ist ebenfalls fast linear. Damit wir die Hierarchischen Matrizen für den HDD-Algorithmus verwenden können, müssen wir die Technik der Hierarchischen Matrizen erweitern. Unter anderem führen wir eingeschränkte Clusterbäume, eingeschränkte Blockclusterbäume und die verallgemeinerte Addition für Hierarchische Matrizen ein. Zusätzlich führen wir eine neue Clusterbaum-Konstruktion ein, die auf den HDD-Algorithmus zugeschnitten ist. Die Kombination des HDD-Algorithmus mit Hierarchischen Matrizen liefert einen Löser, den wir mit einem fast linearen Aufwand berechnen können. Der Aufwand zur Berechnung einer Lösung sowie der Speicheraufwand ist ebenfalls fast linear. Des Weiteren geben wir noch einige Modifizierungen des HDD-Algorithmus für weitere Anwendungsmöglichkeiten an. Zusätzlich diskutieren wir die Möglichkeiten der Parallelisierung, denn durch die Verwendung der Gebietszerlegung wird das Randwertproblem in unabhängige Teilprobleme aufgeteilt, die sich sehr gut parallelisieren lassen. Wir schließen die Arbeit mit numerischen Tests ab, die die theoretischen Aussagen bestätigen.

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4

Ozdamar, Huseyin Hasan. "A Stiffened Dkt Shell Element". Master's thesis, METU, 2005. http://etd.lib.metu.edu.tr/upload/2/12605741/index.pdf.

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A stiffened DKT shell element is formulated for the linear static analysis of stiffened plates and shells. Three-noded triangular shell elements and two-noded beam elements with 18 and 12 degrees of freedom are used respectively in the formulation. The stiffeners follow the nodal lines of the shell element. Eccentricity of the stiffener is taken into account. The dynamic and stability characteristic of the element is also investigated. With the developed computer program, the results obtained by the proposed element agrees fairly well with the existing literature.

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5

Lopes, Lidia Velazquez. "Sorption of the platinum-group elements in selected solid matrices". Master's thesis, University of Cape Town, 2003. http://hdl.handle.net/11427/4210.

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Summary in English.
Bibliography: leaves 70-75.
Recent research on the platinum-group elements (PGE) has shown increased concentrations in environmental samples, probably as a result of the widespread use of PGE (Pt, Pd and Rh in particular) as catalysts in the chemical and car industry. Most of the recent research on PGE focuses on the analysis of concentrations in environmental samples exposed to anthropogenic sources of PGE, but there are very few studies that have investigated sorption behaviour of PGE in soils.

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6

Billing, Caren. "The determination of trace elements in complex matrices by electrochemical techniques". Pretoria : [s.n.], 2000. http://upetd.up.ac.za/thesis/available/etd-03272006-114615/.

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7

Back, Sung-Yong. "A shear-flexible finite element model for lateral torsional buckling analysis of thin-walled open beams". Diss., Georgia Institute of Technology, 1992. http://hdl.handle.net/1853/20999.

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8

Odi, A. R. A. "Bonded Repair of Composite Structures; A Finite Element Approach". Thesis, Department of Materials and Medical Sciences, 2009. http://hdl.handle.net/1826/3893.

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This thesis addresses the issues surrounding the application of the finite element method to analyse composite structure repairs with an emphasis on aircraft applications. A comprehensive literature survey has been carried out for this purpose and the results are presented. A preliminary study and a comparative study of different modelling approaches have been completed. These studies aim to explore and identify the problems in modelling repairso n simplec ompositep anelsw ith speciala ttention given to adhesivem odelling. Three modelling approaches have been considered: Siener's model which is an extension of the traditional plane strain 2D model used for adhesively bonded joints, Bait's model which is a promising new approach and a full 3D model. These studies have shown that these methods are complementary providing a different insight into bonded repairs. They have also highlighted the need for a new modelling approach which will provide an overall view of bonded repairs. Improved modelling approachesh ave been developedf or externallyb onded patch and flush repairs. These models enable the study of adhesive failure as well as composite adherendf ailures.T hesea pproachesh aveb eena ppliedt o real repairs and the predicted results compared to experimental data. Four case studies have been conducted: external bonded patch repairs to composite plates, a scarf joint for bonded repairs, a flat panel repaired with a scarfed patch and a repaired curved panel. These case studies have shown that bonded repairs to composite structures can be analyseds uccessfullyu sing PC-basedc ommercialf inite elementc odes.

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9

Odi, A. Randolph A. "Bonded repair of composite structures : a finite element approach". Thesis, Cranfield University, 1998. http://dspace.lib.cranfield.ac.uk/handle/1826/3893.

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This thesis addresses the issues surrounding the application of the finite element method to analyse composite structure repairs with an emphasis on aircraft applications. A comprehensive literature survey has been carried out for this purpose and the results are presented. A preliminary study and a comparative study of different modelling approaches have been completed. These studies aim to explore and identify the problems in modelling repairso n simplec ompositep anelsw ith speciala ttention given to adhesivem odelling. Three modelling approaches have been considered: Siener's model which is an extension of the traditional plane strain 2D model used for adhesively bonded joints, Bait's model which is a promising new approach and a full 3D model. These studies have shown that these methods are complementary providing a different insight into bonded repairs. They have also highlighted the need for a new modelling approach which will provide an overall view of bonded repairs. Improved modelling approachesh ave been developedf or externallyb onded patch and flush repairs. These models enable the study of adhesive failure as well as composite adherendf ailures.T hesea pproachesh aveb eena ppliedt o real repairs and the predicted results compared to experimental data. Four case studies have been conducted: external bonded patch repairs to composite plates, a scarf joint for bonded repairs, a flat panel repaired with a scarfed patch and a repaired curved panel. These case studies have shown that bonded repairs to composite structures can be analyseds uccessfullyu sing PC-basedc ommercialf inite elementc odes.

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10

Zanoni, Gian Marco. "Analisi distribuzioni degli elementi delle matrici di un controllo h-infinito". Master's thesis, Alma Mater Studiorum - Università di Bologna, 2014. http://amslaurea.unibo.it/7724/.

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Lo studio di tesi che segue analizza un problema di controllo ottimo che ho sviluppato con la collaborazione dell'Ing. Stefano Varisco e della Dott.ssa Francesca Mincigrucci, presso la Ferrari Spa di Maranello. Si è trattato quindi di analizzare i dati di un controllo H-infinito; per eseguire ciò ho utilizzato i programmi di simulazione numerica Matlab e Simulink. Nel primo capitolo è presente la teoria dei sistemi di equazioni differenziali in forma di stato e ho analizzato le loro proprietà. Nel secondo capitolo, invece, ho introdotto la teoria del controllo automatico e in particolare il controllo ottimo. Nel terzo capitolo ho analizzato nello specifico il controllo che ho utilizzato per affrontare il problema richiesto che è il controllo H-infinito. Infine, nel quarto e ultimo capitolo ho specificato il modello che ho utilizzato e ho riportato l'implementazione numerica dell'algoritmo di controllo, e l'analisi dei dati di tale controllo.

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Libros sobre el tema "Element matriciel"

1

Cardoso, Jean-Paul David. Generation of finite element matrices using computer algebra. Manchester: University of Manchester, 1994.

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2

Bond, Dave M. Fast wavelet transforms for matrices arising from boundary element methods. Ithaca, N.Y: Cornell Theory Center, Cornell University, 1994.

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3

Handbook of structural and mechanical matrices: Definitions, transport matrices, stiffness matrices, finite differences, finite elements, graphs and tables of matrix coefficients. New York: McGraw-Hill, 1988.

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4

A, Walker, ed. Energy methods in structural mechanics: A comprehensive introduction to matrix and finite element methods of analysis. London: Thomas Telford, 1999.

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5

Zloković, Đorđe. Group supermatrices in finite element analysis. New York ; Toronto: Ellis Horwood, 1992.

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Zloković, Đorđe. Group supermatrices in finite element analysis. New York: E. Horwood, 1992.

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7

Pellitteri, Antonino. La formazione del pensiero nazionale arabo: Matrici storico-culturali ed elementi costitutivi. Milano, Italy: FrancoAngeli, 2012.

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8

Spherical tensor operators: Tables of matrix elements and symmetries. Singapore: World Scientific, 1990.

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9

Branch, Canada Defence Research Establishment Atlantic Research and Development. A surface panel method for the calculation of added mass matrices for finite element models. S.l: s.n, 1988.

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10

Al-Naima, Fawzi M. Element stamp algorithm for matrix formulation of symbolic circuits. New York: Nova Science Publishers, 2010.

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Capítulos de libros sobre el tema "Element matriciel"

1

Rieg, Frank, Reinhard Hackenschmidt y Bettina Alber-Laukant. "Finite Elements and Element Matrices". En Finite Element Analysis for Engineers, 63–162. München: Carl Hanser Verlag GmbH & Co. KG, 2014. http://dx.doi.org/10.3139/9781569904886.004.

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2

Fuchs, Maurice Bernard. "Element Stiffness Matrices". En Structures and Their Analysis, 273–98. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-31081-7_15.

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Cohn, P. M. "Matrices". En Elements of Linear Algebra, 33–51. Boston, MA: Springer US, 1994. http://dx.doi.org/10.1007/978-1-4899-3286-0_4.

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Hackbusch, Wolfgang. "Applications to Finite Element Matrices". En Hierarchical Matrices: Algorithms and Analysis, 295–319. Berlin, Heidelberg: Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-47324-5_11.

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Mustapha, Khameel Bayo. "Vectors and Matrices". En Finite Element Computations in Mechanics with R, 9–27. First edition. | Boca Raton, FL : CRC Press/Taylor & Francis Group, 2018. | “A CRC title, part of the Taylor & Francis imprint, a member of the Taylor & Francis Group, the academic division of T&F Informa plc.”: CRC Press, 2018. http://dx.doi.org/10.1201/b22398-2.

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Cohn, P. M. "Normal forms of matrices". En Elements of Linear Algebra, 138–63. Boston, MA: Springer US, 1994. http://dx.doi.org/10.1007/978-1-4899-3286-0_9.

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Quarteroni, Alfio, Riccardo Sacco, Fausto Saleri y Paola Gervasio. "Elementi di analisi delle matrici". En UNITEXT, 1–31. Milano: Springer Milan, 2014. http://dx.doi.org/10.1007/978-88-470-5644-2_1.

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Quarteroni, Alfio, Riccardo Sacco y Fausto Saleri. "Elementi di analisi delle matrici". En UNITEXT, 1–30. Milano: Springer Milan, 2008. http://dx.doi.org/10.1007/978-88-470-0818-2_1.

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Vermani, L. R. "Hadamard matrices and Hadamard codes". En Elements of Algebraic Coding Theory, 242–50. Boston, MA: Springer US, 1996. http://dx.doi.org/10.1007/978-1-4899-7268-2_11.

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Haase, Gundolf, Martin Schanz y Samar Vafai. "Computing Boundary Element Method’s Matrices on GPU". En Large-Scale Scientific Computing, 343–50. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-29843-1_39.

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Actas de conferencias sobre el tema "Element matriciel"

1

Danczyk, Josh y Krishnan Suresh. "Improving the Condition Number of Finite Element Stiffness Matrices via Inverted Elements". En ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-47328.

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In the finite element method, poor quality elements typically increase the condition number of the underlying stiffness matrix, thereby potentially: (1) degrading the computed solution, and (2) slowing the convergence of iterative solvers. Current mesh improvement strategies rely on node movement and edge-flipping to alleviate these problems. However, these methods cannot guarantee a lower-bound on mesh quality, especially in 3-D. In this paper we propose the concept, and use, of inverted elements to improve mesh quality and condition number. Inverted elements are standard finite elements, but with negative Jacobian. After establishing the mathematical properties of these elements we show how they can be used to dramatically improve the quality of a mesh through the use of an ‘element cover’. Further, we show that a lower-bound on the mesh quality can be easily achieved, as supported by numerical experiments and case-studies.

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2

Sonti, Venkata R. y Om P. Agrawal. "Mean-Axis Conditions for Finite Elements Undergoing Large Rotations and Translations". En ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/vib-4188.

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Abstract The mean-axis conditions for three types of finite elements that undergo large rotation and translation are derived. The cases include two Lagrangian planar elements (linear triangle and linear rectangle) and a three dimensional rectangular plate element. Each case includes two elements connected at the nodes. Three separate coordinate systems are used in describing the systems. The numerical values of different matrices including the mass matrix are presented for specific cases. It may be seen that the non-linear mass matrix is expressed in terms of a set of time-invariand matrices. The total mass matrix of the body i is obtained by assembling the individual mass matrices of the finite elements of body i.

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3

Olshevskiy, Alexander, Oleg Dmitrochenko y Chang-Wan Kim. "A Plate Element With Second-Order Absolute Nodal Coordinate Slopes: Numerical Computation of Shape Functions". En ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/detc2014-34961.

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In this paper, the procedure of construction of geometrical and structural matrices of plate finite elements employing absolute nodal coordinate formulation (ANCF) is studied. The kinematic and topological properties of an arbitrary plate finite element are described using universal digital code dncm that provides systematic enumeration of finite elements. This code is formed using the element’s dimension d, the number of nodes it possesses n, the number of scalar coordinates per node c, and a multiplier describing the process of transforming a conventional finite element to an ANCF element m. The detailed generation of a new type of triangular plate finite element 2343 using numerical computation of shape functions is discussed in the paper. The new triangular element employs position vectors and slope vectors up to second order mixed-derivative slope vector. A detailed derivation of the equations of motion of the element is provided; the examples of numerical simulation and validation are presented. The features of creating the models and numerical methods as well as results obtained by applying both approaches are discussed in the paper.

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4

Dufresne, M. "Universal matrices for the N-dimensional finite element". En 3rd International Conference on Computation in Electromagnetics (CEM 96). IEE, 1996. http://dx.doi.org/10.1049/cp:19960189.

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To, Cho W. S. y Xiao Hua. "Lower Order Tetrahedral Finite Elements With Rotational Degrees of Freedom for Solid Modelling". En ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-35499.

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The investigation reported in this paper is concerned with the development of efficient, conceptually simpler, mathematically rigorous and physically meaningful three-dimensional (3D) finite elements for solid modelling. A mixed variational principle based on the hybrid strain formulation has been adopted for the derivation of element stiffness matrices of two lower order tetrahedral finite elements. Explicit expressions for element matrices have been derived with a combination of hand manipulation and computer algebraic package, MAPLE. Each of the two finite elements has four nodes. Every one of the latter has six degrees of freedom (DOF). These include three translational and three rotational DOF. Element performance is evaluated with benchmark problems. For brevity, only two benchmark problems are included in this paper. It is shown numerically that the results converge to the true solution and have superior accuracy compared with those previously published in the literature. Mathematically, the elements being proposed are simple and frame invariant. Computationally, they are very efficient compared with higher order tetrahedral finite elements and other lower order tetrahedral finite elements.

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Li, L. X., J. S. Sun y H. Sakamoto. "An Integration Technique in Burnett Infinite Element". En ASME 2003 International Mechanical Engineering Congress and Exposition. ASMEDC, 2003. http://dx.doi.org/10.1115/imece2003-41059.

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Burnett element [1] has been regarded as the most important contribution to infinite element method. It comprises two principal features: one is the use of confocal ellipsoidal coordinate system; another is the exact multi-pole expansion in the newly defined “radial” direction. The former leads in effect to a quasi one-dimensional problem from the infinite point of view, and thereby makes the latter be possibly carried out. However, in evaluating the system matrices, undefined integrals are involved. Hence, the resulting “stiffness”, “damping” and “mass” matrices don’t have definite physical significance. The potential disadvantage is that this efficient element cannot be directly used to solve transient problems. In this paper, presentation of the theory of multi-pole expansion used in Burnett element is changed in form and the shape functions are subsequently expressed in terms of local coordinates by using the infinite-to-finite geometry mapping. In addition to the use of Astley type weighting functions [2] and to the modification of the weighting factor, the system matrices of Burnett infinite element are eventually bounded and integrated term by term using Gauss rules.

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McCaslin, Sara E., Panos S. Shiakolas, Brian H. Dennis y Kent L. Lawrence. "A New Approach to Obtaining Closed-Form Solutions for Higher Order Tetrahedral Finite Elements Using Modern Computer Algebra Systems". En ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-48406.

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Closed-form solutions for straight-sided tetrahedral element stiffness matrices used in finite element analysis have been proven more efficient than numerically integrated solutions. These closed-form solutions are symbolically integrated using computer algebra systems such as Mathematica or Maple. However, even with memory and processing speed available on desktop computers today, major hindrances exist when attempting to symbolically evaluate the stiffness matrices for high order elements. This research proposes a new approach to obtaining closed-form solutions. Results are presented that demonstrate the feasibility of obtaining the stiffness matrices for high order tetrahedral elements through p-level 9 by use of parallel processing tools in Mathematica 7. Comparisons are made between serial and parallel approaches based on memory required to generate a solution. The serial approach requires more memory and can only generate closed-form solutions up to 7th order. The parallel processing approach presented requires less memory and can generate solutions up to 9th order.

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Roy, Dhirendra C. "Snap-Finger Design Analytics and Its Element Stiffness Matrices". En International Congress & Exposition. 400 Commonwealth Drive, Warrendale, PA, United States: SAE International, 1994. http://dx.doi.org/10.4271/940369.

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Tamboli, M. M., Unnikrishnan V. K., Praveen Devangad, Muhammed Shameem K. M. y Santhosh C. "ST-LIBS for heavy element detection in complex matrices". En Fifth International Conference on Optical and Photonics Engineering, editado por Anand K. Asundi. SPIE, 2017. http://dx.doi.org/10.1117/12.2270895.

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Saada, A. y P. Velex. "An Extended Model for the Analysis of the Dynamic Behavior of Planetary Trains". En ASME 1992 Design Technical Conferences. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/detc1992-0066.

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Abstract An extended model for determining dynamic tooth loads on spur and helical gear planetary trains is proposed. Torsional, flexural and axial generalized displacements of all the components are considered and a finite element procedure is used for generality. In order to avoid modulations between meshing pulsations and the carrier angular velocity, equations are written relative to rotating frames fixed to satellite centers. Depending on their architectures, complex drives are broken down in basic 12 degree of freedom elements, namely: - external gear element (sun-satellite element) - internal gear element (ring-satellite element) - pin-carrier element - classical elements for shafts, bearings, couplings, ... Details are given for elementary stiffness matrices. Due to contact conditions between mating teeth, these matrices are full and torsional, bending and traction effects are coupled. State equations point to parametrically excited differential systems with gyroscopic contributions. A first application of the model is conducted on a 3 satellite epicyclic drive whose gyroscopic terms are neglected. Potentially dangerous frequencies for sun-satellite and satellite-ring contacts are determined and contributions of the environment of the planetary train are discussed. Numerical results underline the influence of satellite-carrier links on critical frequencies for tooth loading.

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Informes sobre el tema "Element matriciel"

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Johnson, Vicky, Tessa Lewin y Mariah Cannon. Learning from a Living Archive: Rejuvenating Child and Youth Rights and Participation. Institute of Development Studies (IDS), diciembre de 2020. http://dx.doi.org/10.19088/rejuvenate.2020.001.

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This paper reflects the findings of the first phase of the REJUVENATE project, which set out to understand and map approaches to integrating children, youth, and community participation in child rights initiatives. We did this through a scoping of existing practitioner and academic literature (developing a project-based literature review matrix), a mapping of key actors, and the development of a typology of existing approaches. All three of these elements were brought together into a ‘living archive’, which is an evolving database that currently comprises 100 matrices, and a ‘collection’ of key field practitioners (many of whom we have interviewed for this project). In this paper we: (1) present a user-friendly summary of the existing tradition of substantive children’s participation in social change work; (2) share case studies across various sectors and regions of the world; (3) highlight ongoing challenges and evidence gaps; and (4) showcase expert opinions on the inclusion of child rights and, in particular, child/youth-led approaches in project-based work.

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