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Finite Element Modelling

1995
In modern times the finite element method has become established as the universally accepted analysis method in structural design. The method leads to the construction of a discrete system of matrix equations to represent the mass and stiffness effects of a continuous structure. The matrices are usually banded and symmetric.
M. I. Friswell, J. E. Mottershead
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Finite Element Modeling

2013
This chapter primarily conducted the finite element analysis of the dynamic response of soil around the tunnel under dynamic load induced by the subway train; the main work and conclusions are summarized as below: 1. This chapter analyzed the mechanism of the generation of dynamic load induced by subway train and simulated it by programming in ...
Yiqun Tang   +3 more
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Finite Elemente Modelle

1999
Die Bewegungen der Kontinuumsmodelle aus den Kapiteln 2 und 4 werden durch partielle Differentialgleichungen beschrieben, deren Losungen geometrischen und kinetischen Randbedingungen genugen mussen. Eine analytische Losung der Gleichungen gelingt nur bei sehr einfachen Modellen und Randbedingungen.
Richard Schwertassek, Oskar Wallrapp
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Probabilistic finite element analysis of a craniofacial finite element model

Journal of Theoretical Biology, 2012
We employed a probabilistic finite element analysis (FEA) method to determine how variability in material property values affects stress and strain values in a finite model of a Macaca fascicularis cranium. The material behavior of cortical bone varied in three ways: isotropic homogeneous, isotropic non-homogeneous, and orthotropic non-homogeneous. The
Berthaume, Michael A.   +6 more
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Model Uncertainty in Finite-Element Analysis: Bayesian Finite Elements

Journal of Engineering Mechanics, 2011
In this paper, probabilistic models for structural analysis are put forward, with particular emphasis on model uncertainty. Context is provided by the finite-element method and the need for probabilistic prediction of structural performance in contemporary engineering. Sources of model uncertainty are identified and modeled.
T. Haukaas, P. Gardoni
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A finite element model with nonviscous damping

22nd Structures, Structural Dynamics and Materials Conference, 1981
A constitutive law by which structural damping is modeled as a relationship between stress, strain, and strain rate in a material is used in conjunction with the finite element method to develop general integral expressions for viscous and nonviscous damping matrices.
Roussos, L. A.   +2 more
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Finite Element Modeling

2015
This chapter covers the numerical modeling of carbon nanotubes based on the finite element method. The approach based on a three-dimensional space-frame structure where the bonds between carbon atoms are considered as connecting load-carrying generalized beam members, while the carbon atoms act as joints of the members, is introduced. The assignment of
Sadegh Imani Yengejeh   +2 more
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Finite Element Modeling

2012
In this chapter, general concepts of FEM are presented. Some advantages and disadvantage of the method are discussed, the various methods available are analyzed, a bibliographical review is presented and FEM programs are discussed. Following the questions and answers of Chap.
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Finite Element Models

1994
The finite element method is nowadays the standard method for solving partial differential equations, especially in continuum mechanics. In this chapter the fluid, solid and interface elements are derived. The elements are employed for the discretization of the nearfield, that is the dam, the nearfield of the foundation and the nearfield of the ...
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Finite Elements for Geological Modelling

Nature, 1970
SCALE models have often been used to illustrate or gain insight into geological processes1,2. It may now be possible to study full scale models using a digital computer and the finite element method—a method of stress analysis in complex structures developed in the engineering sciences3.
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