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Dissertations / Theses on the topic 'Time Finite Element Method'

Author: Grafiati

Published: 6 September 2023

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1

Valivarthi, Mohan Varma, and Hema Chandra Babu Muthyala. "A Finite Element Time Relaxation Method." Thesis, Högskolan i Halmstad, Sektionen för Informationsvetenskap, Data– och Elektroteknik (IDE), 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:hh:diva-17728.

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In our project we discuss a finite element time-relaxation method for high Reynolds number flows. The key idea consists of using local projections on polynomials defined on macro element of each pair of two elements sharing a face. We give the formulation for the scalar convection–diffusion equation and a numerical illustration.

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2

Alpert, David N. "Enriched Space-Time Finite Element Methods for Structural Dynamics Applications." University of Cincinnati / OhioLINK, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1377870451.

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3

Kashefi, Ali. "A Finite-Element Coarse-GridProjection Method for Incompressible Flows." Thesis, Virginia Tech, 2017. http://hdl.handle.net/10919/79948.

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Coarse grid projection (CGP) methodology is a novel multigrid method for systems involving decoupled nonlinear evolution equations and linear elliptic Poisson equations. The nonlinear equations are solved on a fine grid and the linear equations are solved on a corresponding coarsened grid. Mapping operators execute data transfer between the grids. The CGP framework is constructed upon spatial and temporal discretization schemes. This framework has been established for finite volume/difference discretizations as well as explicit time integration methods. In this article we present for the first time a version of CGP for finite element discretizations, which uses a semi-implicit time integration scheme. The mapping functions correspond to the finite-element shape functions. With the novel data structure introduced, the mapping computational cost becomes insignificant. We apply CGP to pressure correction schemes used for the incompressible Navier Stokes flow computations. This version is validated on standard test cases with realistic boundary conditions using unstructured triangular meshes. We also pioneer investigations of the effects of CGP on the accuracy of the pressure field. It is found that although CGP reduces the pressure field accuracy, it preserves the accuracy of the pressure gradient and thus the velocity field, while achieving speedup factors ranging from approximately 2 to 30. Exploring the influence of boundary conditions on CGP, the minimum speedup occurs for velocity Dirichlet boundary conditions, while the maximum speedup occurs for open boundary conditions. We discuss the CGP method as a guide for partial mesh refinement of incompressible flow computations and show its application for simulations of flow over a backward facing step and flow past a cylinder.
Master of Science

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4

Marais, Neilen. "Efficient high-order time domain finite element methods in electromagnetics." Thesis, Stellenbosch : University of Stellenbosch, 2009. http://hdl.handle.net/10019.1/1499.

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Thesis (DEng (Electrical and Electronic Engineering))--University of Stellenbosch, 2009.
The Finite Element Method (FEM) as applied to Computational Electromagnetics (CEM), can beused to solve a large class of Electromagnetics problems with high accuracy and good computational efficiency. For solving wide-band problems time domain solutions are often preferred; while time domain FEM methods are feasible, the Finite Difference Time Domain (FDTD) method is more commonly applied. The FDTD is popular both for its efficiency and its simplicity. The efficiency of the FDTD stems from the fact that it is both explicit (i.e. no matrices need to be solved) and second order accurate in both time and space. The FDTD has limitations when dealing with certain geometrical shapes and when electrically large structures are analysed. The former limitation is caused by stair-casing in the geometrical modelling, the latter by accumulated dispersion error throughout the mesh. The FEM can be seen as a general mathematical framework describing families of concrete numerical method implementations; in fact the FDTD can be described as a particular FETD (Finite Element Time Domain) method. To date the most commonly described FETD CEM methods make use of unstructured, conforming meshes and implicit time stepping schemes. Such meshes deal well with complex geometries while implicit time stepping is required for practical numerical stability. Compared to the FDTD, these methods have the advantages of computational efficiency when dealing with complex geometries and the conceptually straight forward extension to higher orders of accuracy. On the downside, they are much more complicated to implement and less computationally efficient when dealing with regular geometries. The FDTD and implicit FETD have been combined in an implicit/explicit hybrid. By using the implicit FETD in regions of complex geometry and the FDTD elsewhere the advantages of both are combined. However, previous work only addressed mixed first order (i.e. second order accurate) methods. For electrically large problems or when very accurate solutions are required, higher order methods are attractive. In this thesis a novel higher order implicit/explicit FETD method of arbitrary order in space is presented. A higher order explicit FETD method is implemented using Gauss-Lobatto lumping on regular Cartesian hexahedra with central differencing in time applied to a coupled Maxwell’s equation FEM formulation. This can be seen as a spatially higher order generalisation of the FDTD. A convolution-free perfectly matched layer (PML) method is adapted from the FDTD literature to provide mesh termination. A curl conforming hybrid mesh allowing the interconnection of arbitrary order tetrahedra and hexahedra without using intermediate pyramidal or prismatic elements is presented. An unconditionally stable implicit FETD method is implemented using Newmark-Beta time integration and the standard curl-curl FEM formulation. The implicit/explicit hybrid is constructed on the hybrid hexahedral/tetrahedral mesh using the equivalence between the coupled Maxwell’s formulation with central differences and the Newmark-Beta method with Beta = 0 and the element-wise implicitness method. The accuracy and efficiency of this hybrid is numerically demonstrated using several test-problems.

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5

Johansson, August. "Duality-based adaptive finite element methods with application to time-dependent problems." Doctoral thesis, Umeå : Institutionen för matematik och matematisk statistik, Umeå universitet, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-33872.

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6

Wang, Shumin. "Improved-accuracy algorithms for time-domain finite methods in electromagnetics." The Ohio State University, 2003. http://rave.ohiolink.edu/etdc/view?acc_num=osu1061225243.

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7

Vikas, Sharma. "Development of Space-Time Finite Element Method for Seismic Analysis of Hydraulic Structures." Kyoto University, 2018. http://hdl.handle.net/2433/235094.

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Kyoto University (京都大学)
0048
新制・課程博士
博士(農学)
甲第21374号
農博第2298号
新制||農||1066(附属図書館)
学位論文||H30||N5147(農学部図書室)
京都大学大学院農学研究科地域環境科学専攻
(主査)教授村上章, 教授藤原正幸, 教授渦岡良介
学位規則第4条第1項該当

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8

Wang, Bao. "Numerical Simulation of Detonation Initiation by the Space-Time Conservation Element and Solution Element Method." The Ohio State University, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=osu1293461692.

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9

Campbell-Kyureghyan, Naira Helen. "Computational analysis of the time-dependent biomechanical behavior of the lumbar spine." Connect to this title online, 2004. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1095445065.

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Thesis (Ph. D.)--Ohio State University, 2004.
Title from first page of PDF file. Document formatted into pages; contains xix, 254 p.; also includes graphics. Includes bibliographical references (p. 234-254).

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10

Dosopoulos, Stylianos. "Interior Penalty Discontinuous Galerkin Finite Element Method for the Time-Domain Maxwell's Equations." The Ohio State University, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=osu1337787922.

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11

Nagai, Toshiki. "Space-time Extended Finite Element Method with Applications to Fluid-structure Interaction Problems." Thesis, University of Colorado at Boulder, 2018. http://pqdtopen.proquest.com/#viewpdf?dispub=10844711.

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This thesis presents a space-time extended finite element method (space-time XFEM) based on the Heaviside enrichment for transient problems with moving interfaces, and its applications to the fluid-structure interaction (FSI) analysis. The Heaviside-enriched XFEM is a promising method to discretize partial differential equations with discontinuities in space. However, significant approximation errors are introduced by time stepping schemes when the interface geometry changes in time. The proposed space-time XFEM applies the finite element discretization and the Heaviside enrichment in both space and time with elements forming a space-time slab. A simple space-time scheme is introduced to integrate the weak form of the governing equations. This scheme considers spatial intersection configuration at multiple temporal integration points. Standard spatial integration techniques can be applied for each spatial configuration. Nitsche's method and the face-oriented ghost-penalty method are extended to the proposed space-time XFEM formulation. The stability, accuracy and flexibility of the space-time XFEM for various interface conditions including moving interfaces are demonstrated with structural and fluid problems. Moreover, the space-time XFEM enables analyzing complex FSI problems using moving interfaces, such as FSI with contact. Two FSI methods using moving interfaces (full-Eulerian FSI and Lagrangian-immersed FSI) are studied. The Lagrangian-immersed FSI method is a mixed formulation of Lagrangian and Eulerian descriptions. As solid and fluid meshes are independently defined, the FSI is computed between non-matching interfaces based on Nitsche's method and projection techniques adopted from computational contact mechanics. The stabilized Lagrange multiplier method is used for contact. Numerical examples of FSI and FSI-contact problems provide insight into the characteristics of the combination of the space-time XFEM and the Lagrangian-immersed FSI method. The proposed combination is a promising method which has the versatility for various multi-physics simulations and the applicability such as optimization.

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12

KALARICKEL, RAMAKRISHNAN PRAVEEN. "Reliability of finite element method for time harmonic electromagnetic problems involving moving bodies." Doctoral thesis, Università degli studi di Genova, 2018. http://hdl.handle.net/11567/930777.

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This work is mainly concerned about the time-harmonic electromagnetic problems involving moving bodies. Such a formulation is possible when the boundaries between different moving objects are stationary and the sources involved are time-harmonic. Even simple media present bianisotropic properties when they are in motion. This kind of problems find applications in diverse fields. Numerical solution is required for most of the practical problems. We examined the reliability of finite element simulator developed for solving such problems.

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13

Warner, Michael S. "Numerical solutions to optimal-control problems by finite elements in time with adaptive error control." Diss., Georgia Institute of Technology, 1996. http://hdl.handle.net/1853/11844.

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14

YU, CHUNG-CHYI. "FINITE-ELEMENT ANALYSIS OF TIME-DEPENDENT CONVECTION DIFFUSION EQUATIONS (PETROV-GALERKIN)." Diss., The University of Arizona, 1986. http://hdl.handle.net/10150/183930.

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Petrov-Galerkin finite element methods based on time-space elements are developed for the time-dependent multi-dimensional linear convection-diffusion equation. The methods introduce two parameters in conjunction with perturbed weighting functions. These parameters are determined locally using truncation error analysis techniques. In the one-dimensional case, the new algorithms are thoroughly analyzed for convergence and stability properties. Numerical schemes that are second order in time, third order in space and stable when the Courant number is less than or equal to one are produced. Extensions of the algorithm to nonlinear Navier-Stokes equations are investigated. In this case, it is found more efficient to use a Petrov-Galerkin method based on a one parameter perturbation and a semi-discrete Petrov-Galerkin formulation with a generalized Newmark algorithm in time. The algorithm is applied to the two-dimensional simulation of natural convection in a horizontal circular cylinder when the Boussinesq approximation is valid. New results are obtained for this problem which show the development of three flow regimes as the Rayleigh number increases. Detailed calculations for the fluid flow and heat transfer in the cylinder for the different regimes as the Rayleigh number increases are presented.

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15

Palmerini, Claudia. "On the smoothed finite element method in dynamics: the role of critical time step for linear triangular elements." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2017.

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Il metodo agli elementi finiti (FEM) è molto utilizzato per risolvere problemi strutturali in diversi ambiti dell’ingegneria. Negli anni, è stata sviluppata una famiglia di nuovi metodi ottenuta combinando il FEM standard con la tecnica “strain smoothing”, giungendo ai cosiddetti “smoothed finite element method” (SFEM). In questa tesi, l’attenzione è stata concentrata sul node-based SFEM (NS-FEM) e sull'edge-based SFEM (ES-FEM), che appartengono a questa nuova famiglia di metodi. Dopo una literature review, volta a metterne in luce le proprietà e gli aspetti fondamenti, i due metodi sono stati confrontati con il FEM standard. L'implementazione dei due metodi è stata eseguita con il software MATLAB. Lo studio è stato fatto in ambito dinamico, utilizzando due metodi di integrazione numerica nel tempo: il metodo delle differenze centrali e il metodo di Runge-Kutta. Come problema test è stato studiato il problema delle vibrazioni libere di un elemento strutturale in stato piano di tensione. Il confronto è stato portato avanti su due fronti: il costo computazionale dei metodi ed il calcolo del “critical time step”. I risultati hanno mostrato che il NS-FEM e l'ES-FEM hanno un costo maggiore rispetto al FEM standard, mentre, lato critical time step, sono paragonabil al FEM standard.

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16

Larsson, Karl. "Finite element methods for threads and plates with real-time applications." Licentiate thesis, Umeå universitet, Institutionen för matematik och matematisk statistik, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-38198.

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Thin and slender structures are widely occurring both in nature and in human creations. Clever geometries of thin structures can produce strong constructions while using a minimal amount of material. Computer modeling and analysis of thin and slender structures has its own set of problems stemming from assumptions made when deriving the equations modeling their behavior from the theory of continuum mechanics. In this thesis we consider two kinds of thin elastic structures; threads and plates. Real-time simulation of threads are of interest in various types of virtual simulations such as surgery simulation for instance. In the first paper of this thesis we develop a thread model for use in interactive applications. By viewing the thread as a continuum rather than a truly one dimensional object existing in three dimensional space we derive a thread model that naturally handles both bending, torsion and inertial effects. We apply a corotational framework to simulate large deformation in real-time. On the fly adaptive resolution is used to minimize corotational artifacts. Plates are flat elastic structures only allowing deflection in the normal direction. In the second paper in this thesis we propose a family of finite elements for approximating solutions to the Kirchhoff-Love plate equation using a continuous piecewise linear deflection field. We reconstruct a discontinuous piecewise quadratic deflection field which is applied in a discontinuous Galerkin method. Given a criterion on the reconstruction operator we prove a priori estimates in energy and L2 norms. Numerical results for the method using three possible reconstructions are presented.

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17

Cloete, Renier. "A simplified finite element model for time-dependent deflections of flat slabs." Pretoria : [s.n.], 2005. http://upetd.up.ac.za/thesis/available/etd-05302005-123208/.

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18

Chirputkar, Shardool U. "Bridging Scale Simulation of Lattice Fracture and Dynamics using Enriched Space-Time Finite Element Method." University of Cincinnati / OhioLINK, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1313753940.

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19

Kung, Christopher W. "Development of a time domain hybrid finite difference/finite element method for solutions to Maxwell's equations in anisotropic media." Columbus, Ohio : Ohio State University, 2009. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1238024768.

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20

Luckshetty, Harish Kumar. "Space-Time Finite Element Analysis on Graphics Processing Unit Computing Platform." University of Cincinnati / OhioLINK, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1331296560.

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21

Sakai, Kotaro. "Seismic Performance Analysis of Fill Dams Using Velocity Based Space-Time Finite Element Method." Doctoral thesis, Kyoto University, 2021. http://hdl.handle.net/2433/263700.

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22

Mello, Frank James. "Weak formulations in analytical dynamics, with applications to multi-rigid-body systems, using time finite elements." Diss., Georgia Institute of Technology, 1989. http://hdl.handle.net/1853/32854.

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23

Bilyeu, David Lawrence. "Numerical Simulation of Chemical Reactions Inside a Shock-Tube by the Space-Time Conservation Element and Solution Element Method." The Ohio State University, 2008. http://rave.ohiolink.edu/etdc/view?acc_num=osu1213363652.

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24

Szumski, Ricard Gerard. "A finite element formulation for the time domain vibration analysis of an elastic-viscoelastic structure." Diss., Georgia Institute of Technology, 1993. http://hdl.handle.net/1853/17053.

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25

Kabir, S. M. Raiyan. "Finite element time domain method with a unique coupled mesh system for electromagnetics and photonics." Thesis, City University London, 2015. http://openaccess.city.ac.uk/14523/.

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The finite difference time domain (FDTD) method is a popular technique, being used successfully to analyse the electromagnetic properties of many structures, including a range of optical or photonic devices. This method offers several major advantages such as, a minimum level of calculation is required for each of the cells into which the structure is divided, as well as data parallelism and explicit and easy implementation. However, due to the use of the Finite Difference grid, this method suffers from higher numerical dispersion and inaccurate discretisation due to staircasing at slanted and curve edges. The rectangular computational domain in 2D and cuboid computational domain in 3D sometimes makes the method very resource intensive especially for large simulations. Although the finite element (FE) approach is superior for the discretisation of both 2D and 3D structures, most of the FE-based time domain approaches reported so far suffer from limitations due to the implicit or iterative form or the mass matrix formulation, for example. Therefore, the speed of the simulation is much slower than the FDTD method. Time domain analysis of electromagnetic is a very resource intensive numerical technique. Due to the slow performance the FE based techniques are not as popular as the FDTD method. In this research work a new FE based time domain technique has been proposed for both 2D and 3D problems which is similar to the FDTD method explicit and data parallel in nature. The method proposed does not requires any matrix formulation or iteration. It uses minimum possible CPU cycles among any FE-based techniques. The method also utilises a unique meshing scheme to reduce the number of calculation to at least half for 2D and one fifth for 3D compared to any full mesh FE based technique. The method also shows very low numerical dispersion when used with equilateral elements in both 2D and 3D. Thus the proposed method effectively produces results with less numerical dispersion error with lower density mesh compared to the FDTD method. When the advantage in resolution is taken into consideration, calculation of each time-step using the proposed method is significantly faster than the FDTD method.

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26

Ma, Jie. "A new space-time finite element method for the dynamic analysis of TRUSS-type structures." Thesis, Edinburgh Napier University, 2015. http://researchrepository.napier.ac.uk/Output/9165.

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Truss-type structures are widely used in contemporary constructions. The dynamic analysis is very important to ensure the safety and the functionalities of these structures. The aim of this research was to propose a new method tailored for the dynamic analysis of linear truss-type structures. The proposed method is a single-step method underpinned by Unconventional Hamilton-type Variational Principles, and employing the finite element discretisation in both spatial and temporal domains. To develop the proposed method, five Unconventional Hamilton-type Variational Principles tailor-made for truss-type structures were derived, preserving naturally all necessary conditions for the dynamic analysis without the introduction of any artificial factors. The resultant one-field and the two-filed formulations were used to build algorithms for the proposed method. The semi-discretisation treatment of the spatial and temporal domains was applied to these formulations. While the spatial discretisation was undertaken in the standard fashion, temporal discretisation was attempted with four different types of time finite elements. The convergence of the algorithms was examined in terms of the stability and the consistency properties. Numerical examples with different types of truss-type structures were given to verify the proposed method, and also to compare the performance of these algorithms against the existing analysis methods. The proposed algorithms were shown to be second- or higher-order accurate when various time finite elements were employed. Compared to the widely used Average Acceleration Method (AAM), the proposed method produces highly accurate results. Larger time steps can be used without compromising the accuracy hence the computational costs may be reduced. Therefore, the proposed method can provide a fast and high-precision analysis solution for applications where these attributes are desired.

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Habbireeh, A. A. "The numerical solution of time dependant problems by finite element methods." Thesis, University of Liverpool, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.383495.

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Chong, Ellis Fui Hen. "Aspects of induction motors analysis using time-stepped finite element methods." Thesis, University of Cambridge, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.620705.

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Heap, Ryan C. "Real-Time Visualization of Finite Element Models Using Surrogate Modeling Methods." BYU ScholarsArchive, 2013. https://scholarsarchive.byu.edu/etd/6536.

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Finite element analysis (FEA) software is used to obtain linear and non-linear solutions to one, two, and three-dimensional (3-D) geometric problems that will see a particular load and constraint case when put into service. Parametric FEA models are commonly used in iterative design processes in order to obtain an optimum model given a set of loads, constraints, objectives, and design parameters to vary. In some instances it is desirable for a designer to obtain some intuition about how changes in design parameters can affect the FEA solution of interest, before simply sending the model through the optimization loop. This could be accomplished by running the FEA on the parametric model for a set of part family members, but this can be very timeconsuming and only gives snapshots of the models real behavior. The purpose of this thesis is to investigate a method of visualizing the FEA solution of the parametric model as design parameters are changed in real-time by approximating the FEA solution using surrogate modeling methods. The tools this research will utilize are parametric FEA modeling, surrogate modeling methods, and visualization methods. A parametric FEA model can be developed that includes mesh morphing algorithms that allow the mesh to change parametrically along with the model geometry. This allows the surrogate models assigned to each individual node to use the nodal solution of multiple finite element analyses as regression points to approximate the FEA solution. The surrogate models can then be mapped to their respective geometric locations in real-time. Solution contours display the results of the FEA calculations and are updated in real-time as the parameters of the design model change.

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Chilton, Ryan Austin. "H-, P- and T-Refinement Strategies for the Finite-Difference-Time-Domain (FDTD) Method Developed via Finite-Element (FE) Principles." The Ohio State University, 2008. http://rave.ohiolink.edu/etdc/view?acc_num=osu1219064270.

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Bourgeois, Jacqueline M. "A complete three-dimensional electromagnetic simulation of ground-penetrating radars using the finite-difference time-domain method." Diss., Georgia Institute of Technology, 1997. http://hdl.handle.net/1853/14845.

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Hou, Lin-Jun. "Development and application of displacement and mixed hp-version space-time finite elements." Diss., Georgia Institute of Technology, 1992. http://hdl.handle.net/1853/20708.

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Sjösten, William, and Victor Vadling. "Finite Element Approximations of 2D Incompressible Navier-Stokes Equations Using Residual Viscosity." Thesis, Uppsala universitet, Institutionen för teknikvetenskaper, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-354590.

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Chorin’s method, Incremental Pressure Correction Scheme (IPCS) and Crank-Nicolson’s method (CN) are three numerical methods that were investigated in this study. These methods were here used for solving the incompressible Navier-Stokes equations, which describe the motion of an incompressible fluid, in three different benchmark problems. The methods were stabilized using residual based artificial viscosity, which was introduced to avoid instability. The methods were compared in terms of accuracy and computational time. Furthermore, a theoretical study of adaptivity was made, based on an a posteriori error estimate and an adjoint problem. The implementation of the adaptivity is left for future studies. In this study we consider the following three well-known benchmark problems: laminar 2D flow around a cylinder, Taylor-Green vortex and lid-driven cavity problem. The difference of the computational time for the three methods were in general relatively small and differed depending on which problem that was investigated. Furthermore the accuracy of the methods also differed in the benchmark problems, but in general Crank-Nicolson’s method gave less accurate results. Moreover the stabilization technique worked well when the kinematic viscosity of the fluid was relatively low, since it managed to stabilize the numerical methods. In general the solution was affected in a negative way when the problem could be solved without stabilization for higher viscosities.

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34

Rieben, Robert N. "A novel high order time domain vector finite element method for the simulation of electromagnetic devices /." For electronic version search Digital dissertations database. Restricted to UC campuses. Access is free to UC campus dissertations, 2004. http://uclibs.org/PID/11984.

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Bhamare, Sagar D. "High Cycle Fatigue Simulation using Extended Space-Time Finite Element Method Coupled with Continuum Damage Mechanics." University of Cincinnati / OhioLINK, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1352490187.

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36

Li, Yi. "Effective Simplified Finite Element Tire Models for Vehicle Dynamics Simulation." Diss., Virginia Tech, 2017. http://hdl.handle.net/10919/97271.

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The research focuses on developing a methodology for modeling a pneumatic bias-ply tire with the finite element method for vehicle dynamics simulation. The tire as a load-carrying member in a vehicle system deserves emphasized formulation especially for the contact patch because its representation of mechanics in the contact patch directly impacts the handling and ride performance of a vehicle. On the other hand, the load transfer from the contact patch to the wheel hub is necessary for determining the inputs to a chassis. A finite element (FE) tire model has strong capability to handle these two issues. However, the high cost of computing resources restrains its application mainly in the tire design domain. This research aims to investigate how to balance the complexity of a simplified FE tire model without diminishing its capability towards representing the load transmission for vehicle dynamics simulation. The traditional FE tire model developed by tire suppliers usually consists of an extremely large number of elements, which makes it impossible to be included in a full-vehicle dynamics simulation. The material properties required by tire companies' FE tire models are protected. The car companies have an increasing need for a physical-based tire model to understand more about the interaction between the tire and chassis. A gap between the two sides occurs because the model used for tire design cannot directly help car companies for their purpose. All of these reasons motivate the current research to provide a solution to narrow this gap. Other modern tire models for vehicle dynamics, e.g. FTire or TAME, require a series of full-tire tests to calibrate their model parameters, which is expensive and time-consuming. One great merit of the proposed simplified FE tire model is that determining model inputs only requires small-scale specimen tests instead of full-tire tests. Because much of the usability of a model hinges on whether its input parameters are easily determined, this feature makes the current model low cost and easily accessible in the absence of proprietary information from the tire supplier. A Hoosier LC0 racing tire was selected as a proof of modeling concept. All modeling work was carried out using the general purpose commercial software Abaqus. The developed model was validated through static load-deflection test data together with Digital Image Correlation (DIC) data. The finite element models were further evaluated by predicting the traction/braking and cornering tire forces against Tire Test Consortium (TTC) data from the Calspan flat-track test facility. The emphasis was put on modeling techniques for the transient response due to the lack of available test data. The in-plane and out-of-plane performance of the Hoosier tire on the full-tire test data is used for model validation, not for "calibrating" the model. The agreement between model prediction and physical tests demonstrate the effectiveness of the proposed methodology.
PHD

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Stumpf, Felipe Tempel. "Implementação numérica de problemas de viscoelasticidade finita utilizando métodos de Runge-Kutta de altas ordens e interpolação consistente entre as discretizações temporal e espacial." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2013. http://hdl.handle.net/10183/75757.

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Em problemas de viscoelasticidade computacional, a discretização espacial para a solução global das equações de equilíbrio é acoplada à discretização temporal para a solução de um problema de valor inicial local do fluxo viscoelástico. É demonstrado que este acoplamento espacial-temporal (ou global-local) éconsistente se o tensor de deformação total, agindo como elemento acoplador, tem uma aproximação de ordem p ao longo do tempo igual à ordem de convergência do método de integração de Runge-Kutta (RK). Para a interpolação da deformação foram utilizados polinômios baseados em soluções obtidas nos tempos tn+1, tn, . . ., tn+2−p, p ≥ 2, fornecendo dados consistentes de deformação nos estágios do RK. Em uma situação onde tal regra para a interpolação da deformação não é satisfeita, a integração no tempo apresentará, consequentemente, redução de ordem, baixa precisão e, por conseguinte, eficiência inferior. Em termos gerais, o propósito é generalizar esta condição de consistência proposta pela literatura, formalizando-a matematicamente e o demonstrando através da utilização de métodos de Runge-Kutta diagonalmente implícitos (DIRK) até ordem p = 4, aplicados a modelos viscoelásticos não-lineares sujeitos a deformações finitas. Através de exemplos numéricos, os algoritmos de integração temporal adaptados apresentaram ordem de convergência nominal e, portanto, comprovam a validade da formalização do conceito de interpolação consistente da deformação. Comparado com o método de integração de Euler implícito, é demonstrado que os métodos DIRK aqui aplicados apresentam um ganho considerável em eficiência, comprovado através dos fatores de aceleração atingidos.
In computational viscoelasticity, spatial discretization for the solution of the weak form of the balance of linear momentum is coupled to the temporal discretization for solving a local initial value problem (IVP) of the viscoelastic flow. It is shown that this spatial- temporal (or global-local) coupling is consistent if the total strain tensor, acting as the coupling agent, exhibits the same approximation of order p in time as the convergence order of the Runge-Kutta (RK) integration algorithm. To this end we construct interpolation polynomials based on data at tn+1, tn, . . ., tn+2−p, p ≥ 2, which provide consistent strain data at the RK stages. If this novel rule for strain interpolation is not satisfied, time integration shows order reduction, poor accuracy and therefore less efficiency. Generally, the objective is to propose a generalization of this consistency idea proposed in the literature, formalizing it mathematically and testing it using diagonally implicit Runge-Kutta methods (DIRK) up to order p = 4 applied to a nonlinear viscoelasticity model subjected to finite strain. In a set of numerical examples, the adapted time integrators obtain full convergence order and thus approve the novel concept of consistency. Substantially high speed-up factors confirm the improvement in the efficiency compared with Backward Euler algorithm.

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38

Abenius, Erik. "Direct and Inverse Methods for Waveguides and Scattering Problems in the Time Domain." Doctoral thesis, Uppsala : Acta Universitatis Upsaliensis : Univ.-bibl. [distributör], 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-6013.

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39

Szady, Michael Joseph. "Finite element methods for the time dependent simulation of viscoelastic fluid flows." Thesis, Massachusetts Institute of Technology, 1996. http://hdl.handle.net/1721.1/10914.

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40

Zhao, Jun. "Analysis of finite element approximation and iterative methods for time-dependent Maxwell problems." Texas A&M University, 2002. http://hdl.handle.net/1969/582.

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41

Rawat, Vineet. "Finite Element Domain Decomposition with Second Order Transmission Conditions for Time-Harmonic Electromagnetic Problems." The Ohio State University, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=osu1243360543.

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42

Alsuleimanagha, Zaid, and Jing Liang. "Dynamic analysis of the Baozhusi dam using FEM." Thesis, KTH, Mark- och vattenteknik (flyttat 20130630), 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-171817.

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High magnitude earthquakes have devastating effects that leads to severe human and material losses; when affecting concrete gravity dams, seisms devastate the surrounding habitat through sudden release of reservoir. Dam safety is therefore a significant issue to be accounted in order to prevent the failure of dams located in seismic regions. The Baozhusi dam, the case study of this thesis, was exposed to 8.0 Ms (at the Mercalli scale) Wenchuan earthquake 2008 with intensity of (0.148 g) at the dam site. The earthquake intensity exceeded the design level of the dam (0.1 g); yet, the Baozhusi dam was not severely damaged as showed by tests. The present study case is a modeling and analyzing of the dynamical behavior of the Baozhusi dam during the earthquake duration. The results show that the horizontal component of the ground motion predominate the dynamic response of the dam. It is confirmed that the horizontal component of the ground motion crossed the dam at its axis and therefore minimizing the damages on the concrete gravity dam.

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43

Wassef, Karim N. "Nonlinear transient finite element analysis of conductive and ferromagnetic regions using a surface admittance boundary condition." Diss., Georgia Institute of Technology, 1999. http://hdl.handle.net/1853/13318.

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44

Al-Shanfari, Fatima. "High-order in time discontinuous Galerkin finite element methods for linear wave equations." Thesis, Brunel University, 2017. http://bura.brunel.ac.uk/handle/2438/15332.

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In this thesis we analyse the high-order in time discontinuous Galerkin nite element method (DGFEM) for second-order in time linear abstract wave equations. Our abstract approximation analysis is a generalisation of the approach introduced by Claes Johnson (in Comput. Methods Appl. Mech. Engrg., 107:117-129, 1993), writing the second order problem as a system of fi rst order problems. We consider abstract spatial (time independent) operators, highorder in time basis functions when discretising in time; we also prove approximation results in case of linear constraints, e.g. non-homogeneous boundary data. We take the two steps approximation approach i.e. using high-order in time DGFEM; the discretisation approach in time introduced by D Schötzau (PhD thesis, Swiss Federal institute of technology, Zürich, 1999) to fi rst obtain the semidiscrete scheme and then conformal spatial discretisation to obtain the fully-discrete formulation. We have shown solvability, unconditional stability and conditional a priori error estimates within our abstract framework for the fully discretized problem. The skew-symmetric spatial forms arising in our abstract framework for the semi- and fully-discrete schemes do not full ll the underlying assumptions in D. Schötzau's work. But the semi-discrete and fully discrete forms satisfy an Inf-sup condition, essential for our proofs; in this sense our approach is also a generalisation of D. Schötzau's work. All estimates are given in a norm in space and time which is weaker than the Hilbert norm belonging to our abstract function spaces, a typical complication in evolution problems. To the best of the author's knowledge, with the approximation approach we used, these stability and a priori error estimates with their abstract structure have not been shown before for the abstract variational formulation used in this thesis. Finally we apply our abstract framework to the acoustic and an elasto-dynamic linear equations with non-homogeneous Dirichlet boundary data.

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45

Srisukh, Yudhapoom. "Development of hybrid explicit/implicit and adaptive h and p refinement for the finite element time domain method." Columbus, Ohio : Ohio State University, 2006. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1135879014.

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46

Pinheiro, Eduardo Gonçalves. "Modelos numéricos aplicados à vulcanização de pneus." Universidade de São Paulo, 2001. http://www.teses.usp.br/teses/disponiveis/3/3132/tde-25082003-090611/.

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A vulcanização é um processo termo-químico aplicado aos polímeros elastoméricos, também chamados de borrachas. Devido à vulcanização, as borrachas adquirem propriedades físicas que as tornam adequadas a várias aplicações mecânicas, entre estas, se destaca aquela desempenhada pelo componente automotivo pneu. Durante a vulcanização as moléculas do elastômero são unidas em vários pontos através de ligações cruzadas. Isso ocorre através do aquecimento da borracha adicionada de enxofre. O correto dimensionamento do tempo que o calor deve ser transferido ao composto de borracha a ser vulcanizado é crucial para definir as características finais deste composto. Em condições extremas, se o tempo de exposição ao calor for insuficiente, o composto continuará com comportamento de baixa resistência às deformações. Por outro lado se o tempo de exposição ao calor for excessivo, além do desperdício energético e econômico, o composto de borracha entra numa fase de reversão, que significa diminuição das propriedades já alcançadas. O dimensionamento da vulcanização de um pneu necessita basicamente de dois suportes fundamentais de engenharia: a) um modelo numérico para a reação termo-química que leve em conta a cinética de cura de cada composto de borracha do pneu; b) um modelo numérico de transmissão de calor, capaz de calcular para qualquer ponto do pneu a sua evolução térmica durante a vulcanização. Esta dissertação apresenta uma revisão da literatura sobre vulcanização de pneus, os modelos utilizados, e um modelo proposto pelo autor. Nesse, questões como reologia da borracha em regime de temperatura variável e reversão do composto recebem um tratamento numérico específico. Através da validação experimental verifica-se que o modelo proposto é altamente eficaz para aplicações industriais.
Vulcanization is a thermochemical process applied to the elastomeric polymers also called rubbers. Due to the vulcanization, rubbers acquire physical properties that make them capable to support mechanical applications, such as pneumatic tire. During the vulcanization, the elastomer molecules are tied together in many points due to the crosslinking process. This process is made possible due to the heating of the mixing of rubber and sulfur. It is very important to define the right time under the heat a rubber requires to be vulcanized. This vulcanizing period will define the future rubber characteristics. If an insufficient curing time is used for vulcanization, the rubber compound will maintain the poor characteristics of a raw rubber. In the other extreme, if a very extensive cure time is used, besides the energetic and economic losses, it will provoke reversion on the rubber, that means the reduction of the desired cured rubber properties. In order to produce a precise dimensioning of the cure cycle two fundamental engineering supports are necessary: a) a numerical model for the thermochemical reaction, dealing with the curing kinetics of each rubber compound involved in a tire; b) a numerical model for the heat transfer process, capable to determine during the vulcanization period, the temperature evolution in any point of a single tire. This work presents a discussion of previous literature on the tire vulcanization area, their cure models, and a new model proposed by the author. This model treats questions like the rubber rheology in non isothermal condition, and the compound reversion, applying to them specific numerical treatments. The use of experimental validation showed the model to be very efficient for industrial applications.

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47

Meidner, Dominik. "Adaptive space-time finite element methods for optimization problems governed by nonlinear parabolic systems." [S.l. : s.n.], 2007. http://nbn-resolving.de/urn:nbn:de:bsz:16-opus-82723.

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48

Ireland, David John. "Dielectric Antennas and Their Realisation Using a Pareto Dominance Multi-Objective Particle Swarm Optimisation Algorithm." Thesis, Griffith University, 2010. http://hdl.handle.net/10072/365312.

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Antennas utilising a dielectric medium are technologies that have become popular in modern wireless platforms. They offer several desirable features such as high efficiency, electrically small and resistance to proximity detuning. Being a volumetric radiator however, realising a final, commercially competitive solution, often requires the use of a computational optimisation algorithm. In the realm of antenna design the practice of optimisation typically involves an automated routine consisting of a heuristic algorithm and a forward solving engine such as the finite element method (FEM) or finite difference time domain (FDTD) method. The solving engine is used to derive a post-processed performance value typically referred to as an objective or fitness function, while the heuristic method uses the objective function data to determine the next trial solution or solutions that approach a design goal. Nowadays, commercially viable antenna platforms are not characterised by a single performance value, but rather, a series of objective functions that are often inherently conflicting. Thus, an increase in one objective function results in a decrease in another. The optimisation algorithm is therefore required to seek a solution dictated by the preferences of the designer. Classical literature dominantly featured preference articulation, a priori, where the set of objectives are transformed into a scalar using a predefined preference arrangement. Contemporary theory implements the articulation a posteriori, where the complete set of compromise solutions are sought by the optimisation algorithm. It is hypothesised that modern multi-objective optimisation (MOO) theory, using a posteriori preference articulation, can be more useful for contemporary antenna design. By treating the objectives as individual dimensions in a mathematical space, it allows for independent, simultaneous optimisation. At the time of writing this dissertation, all commercial simulation software that include an optimisation algorithm use a predefined preference to the performance criteria. Thus, where a large set of equally potential solutions exist, only one final solution is delivered. This thesis examines two novel dielectric antenna technologies and uses modern MOO theory to obtain new solutions that supersede their prototypes. Taking a commercial perspective by optimising the electromagnetic performance and the physical size of the antenna simultaneously, it is hypothesised this allows an unprecedented insight into the inherent tradeoffs of practical antenna configurations.
Thesis (PhD Doctorate)
Doctor of Philosophy (PhD)
Griffith School of Engineering
Science, Environment, Engineering and Technology
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49

Maczugowski, Maciej. "Numerical simulation of residual stresses in a weld seam : An application of the Finite Element Method." Thesis, Linnéuniversitetet, Institutionen för maskinteknik (MT), 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-65867.

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Articulated haulers are fundamental equipment to transport material. The load carrying structure on a hauler consists mainly of welded frames. During welding of the frames high residual stress will be introduced. These stresses may have a significant impact on the fatigue life of the frames. This is the reason for having good knowledge of the weld residual stresses. The finite element method was used to calculate the residual stress distributions in a butt weld and a T-join weld. Simulation of the welding process with thermal and mechanical analysis was prepared by means of welding GUI implemented in LS-PrePost. The welding simulation is a computer intensive operation with high CPU time. That is why it is important to investigate which process factors that have the largest impact on welding simulation results. The aim of this thesis is to investigate the correlation between designed models in FEA software with published results of weld residual stress measurements and conclude which parameters should be mainly taken into consideration.

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50

Malavolta, Alexandre Tácito. "Metodologia para a análise de impacto em sistemas elásticos usando-se o método dos elementos finitos e a integração explícita no tempo." Universidade de São Paulo, 2003. http://www.teses.usp.br/teses/disponiveis/18/18135/tde-08082003-082648/.

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O fenômeno de impacto mecânico entre corpos sólidos está presente em diversas áreas da engenharia. Exemplos atuais deste tipo de problema podem ser encontrados no projeto de elementos de máquinas, sistemas de transporte como containers com material nuclear, tubulações em indústrias químicas, autoveículos e várias outras estruturas que devem obedecer à códigos de segurança estabelecidos por legislações governamentais. Na maioria destes casos, o conhecimento das tensões oriundas do impacto entre os corpos é fundamental para evitarem-se fa-lhas nas estruturas projetadas, predizer danos indesejáveis, diminuir coeficientes de segurança, etc. Neste contexto, é proposta neste trabalho uma metodologia de projeto contra impacto em sistemas mecânicos elásticos baseada nas equações de superfície de tensão máxima, que representam diferentes situações de impacto em uma determinada geometria. O Método dos Elementos Finitos com a integração explícita no tempo é aplicado para resolver o problema dinâmico associado ao impacto. Como exemplos de aplicações são estudados um suporte e um eixo chavetado.
Impact between solid bodies is present in many areas of engineering. Relevant examples of this sort of problem can be found in machine element design, transport systems such as containers for nuclear material, pipes in chemical plants, vehicles and many others structures that should comply with safety codes issued by govern agencies. In the majority of these cases, the knowledge of the stresses due to the impact between the bodies is fundamental to avoid failures on the designed structures, to predict undesired damages, and to decrease safety factors. Therefore, in this work a design methodology for linear mechanical systems submitted to impact is proposed. It is based on the surface of maximum stress which represents different crash situations for a given elastic model. The Finite Element Method with the explicit time integration algorithm is used to solve the associated dynamic problem. Examples are presented such as a bracket and a shaft.

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