Results 281 to 290 of about 1,565,611 (347)
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Introduction to the finite element method
Finite Element Analysis, 20211. Let Ω = (−1, 1)× (0, 1). We consider the initial boundary value problem ut − uxx = 0, in Ω, (1a) u(±1, t) = 0, for 0 ≤ t ≤ 1, (1b) u(x, 0) = sin(nπx), n ∈ N. (1c) a) Give the analytical solution u(x, t) for general n ∈ N.
G. Nikishkov
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Mathematical methods in the applied sciences, 2021
In this study, size‐dependent thermo‐mechanical vibration analysis of nanobeams is examined. Size‐dependent dynamic equations are obtained by implementing Hamilton's principle based on Timoshenko beam theory and then combined with stress equation of ...
Hayri Metin Numanoğlu +3 more
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In this study, size‐dependent thermo‐mechanical vibration analysis of nanobeams is examined. Size‐dependent dynamic equations are obtained by implementing Hamilton's principle based on Timoshenko beam theory and then combined with stress equation of ...
Hayri Metin Numanoğlu +3 more
semanticscholar +1 more source
2017
This chapter treats one-dimensional finite elements with two nodes. Rods for tensile deformation and thin and thick beams for bending deformation are introduced based on their elemental finite element equation and the corresponding relationships for post-processing.
Thomas G. Brown +2 more
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This chapter treats one-dimensional finite elements with two nodes. Rods for tensile deformation and thin and thick beams for bending deformation are introduced based on their elemental finite element equation and the corresponding relationships for post-processing.
Thomas G. Brown +2 more
+8 more sources
The Finite Element Method [PDF]
, 1991 The approximate methods presented at the end of the preceding chapter for the solution of the vibration problems of continuous systems are based on the assumption that the shape of the deformation of the continuous system can be described by a set of assumed functions. By using this approach, the vibration of the continuous system which has an infinite
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1970
In this chapter the principles of the finite element method will be presented through the application to problems of steady and nonsteady groundwater flow. The method was developed in the 1950’s, first for problems of aeronautical engineering (the construction of airplanes), mechanical engineering (nuclear reactor vessels), and civil engineering ...
Jacob Bear, Arnold Verruijt
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In this chapter the principles of the finite element method will be presented through the application to problems of steady and nonsteady groundwater flow. The method was developed in the 1950’s, first for problems of aeronautical engineering (the construction of airplanes), mechanical engineering (nuclear reactor vessels), and civil engineering ...
Jacob Bear, Arnold Verruijt
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The Scaled Boundary Finite Element Method
, 2018In the finite element method, a problem domain is divided into elements of simple geometries. The shapes of the finite elements are typically limited to triangles and quadrilaterals in 2D and tetrahedrons, wedges and hexahedrons in 3D. On these elements,
Chongmin Song
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1998
The Finite Element Method (FEM) is a numerical technique used to solve partial differential equations by transforming them into a matrix equation. The primary feature of FEM is its ability to describe the geometry or the media of the problem being analyzed with great flexibility.
Bruce Archambeault +2 more
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The Finite Element Method (FEM) is a numerical technique used to solve partial differential equations by transforming them into a matrix equation. The primary feature of FEM is its ability to describe the geometry or the media of the problem being analyzed with great flexibility.
Bruce Archambeault +2 more
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2012
Wir haben die Methode der finiten Elemente schon in Kapitel 3.7 zum Losen gewohnlicher Randwertprobleme eingefuhrt und angewandt. Das eigentliche Anwendungsgebiet sind jedoch die partiellen Differenzialgleichungen und vorzugsweise die elliptischen Randwertprobleme.
Claus-Dieter Munz, Thomas Westermann
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Wir haben die Methode der finiten Elemente schon in Kapitel 3.7 zum Losen gewohnlicher Randwertprobleme eingefuhrt und angewandt. Das eigentliche Anwendungsgebiet sind jedoch die partiellen Differenzialgleichungen und vorzugsweise die elliptischen Randwertprobleme.
Claus-Dieter Munz, Thomas Westermann
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A Multiscale Finite-Element-Method
Civil-Comp Proceedings, 1997Abstract This paper describes a hierarchical overlay of a p -version finite element approximation on a coarse mesh and an h -approximation on a geometrically independent fine mesh. The length scales of the local problem may be some orders of magnitude below the scale of the global problem.
R. Krause, Ernst Rank
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1975
Die analytischen Rechenansatze in den vorangegangenen Abschnitten dieses Buches dienten dem Zweck, das Verstandnis fur die grundlegenden Beziehungen zwischen Kraftwirkungen und Verformungen zu entwickeln. Umfang und Schwierigkeitsgrad der in der Praxis auftretenden Probleme ubersteigen allerdings schnell die Reichweite dieser Rechenansatze.
Schumpich, Meyer, Günther Holzmann
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Die analytischen Rechenansatze in den vorangegangenen Abschnitten dieses Buches dienten dem Zweck, das Verstandnis fur die grundlegenden Beziehungen zwischen Kraftwirkungen und Verformungen zu entwickeln. Umfang und Schwierigkeitsgrad der in der Praxis auftretenden Probleme ubersteigen allerdings schnell die Reichweite dieser Rechenansatze.
Schumpich, Meyer, Günther Holzmann
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