Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 38 for “"Eigenvalues and Eigenvectors"”.
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Restarting the Lanczos algorithm for large eigenvalue problems and linear equations.
We are interested in computing eigenvalues and eigenvectors of large matrices and in solving large systems of linear equations. Restarted versions of both the symmetric and nonsymmetric Lanczos algorithms are given. For the symmetric case, we give a method called Lan-DR that simultaneously solves …
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Solution Techniques for Large Eigenvalue Problems in Structural Dynamics
This study deals with the determination of eigenvalues and eigenvectors of large algebraic systems. In particular, the methods developed are applicable to finding the natural frequencies and modes of vibration of large structural systems such as frames or continuous systems discretized in some way.
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Perturbation methods for slightly damped gyroscopic systems
… The objective is to express the perturbed eigenvalues and eigenvectors in terms of the unperturbed eigenvalues and eigenvectors and the perturbing matrices, without solving a new eigenvalue problem. If all of the unperturbed eigenvalues are clearly distinct, which is to say that the …
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Computation of nodes and weights of Gaussian Quadrature rule by using Jacobi method
… in solving large eigenvalue problems in science and engineering due to the increasing spread of quantitative analysis. These problems occur in a wide variety of applications. Eigenvalues are very useful in engineering for the dynamic analysis of large-scale structures such as aerospace. There is …
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Accurate fault location for power transmission lines
… inherently accounts for line conductor asymmetry and shunt capacitance. The accuracy of the new technique is not significantly affected by fault resistance, source network configuration or line length. Also, in most cases no fault type identification is required. The new fault location technique …
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An application of the Liouville resolvent method to the study of fermion-boson couplings
… operators that are elements of a Hilbert space and that represent transitions between many-particle states. These commutators produce linear combinations of stepping operators, so the results can be arrayed as matrix elements of the Liouville operator L̂ in the Hilbert space of stepping …
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Optimal design of nonlinear framed structures under multiple loading conditions based on a stability criterion
… is presented for improving the strength and overall stability of framed structures. The design methodology is a multiple-objective optimization procedure whose objective functions involve the buckling eigenvalues and eigenvectors of the structure. Designs are constrained to have constant …
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Longitudinal principal components analysis for binary and continuous data
… an enormously popular word in the data science and statistics communities. These datasets are often collected over periods of time - at hourly and weekly rates - with the help of technological advancements in physical and cloud-based storage. The information stored is useful, especially in …
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Adjoint sensitivity analysis of the two-phase two-fluid model based on an approximate Riemann solver
… upwind numerical solver (i.e. forward solver) and an adjoint sensitivity analysis framework for the two-phase two-fluid model are developed and verified. Both the numerical solver and the adjoint sensitivity analysis framework are based on an analytical analysis of the two-phase two-fluid …
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Extraction of eigen-pairs from beam structures using an exact element based on a continuum formulation and the finite element method
… of numerical methods to decouple structure and fluid interaction have reported the need for more precise approximations of higher structure eigenvalues and eigenvectors than are currently available from standard finite elements. The purpose of this study is to investigate hybrid finite …
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The mass matrix in dynamic structural analysis
This thesis is concerned with the use and development of mass matrices. A literature study is performed to determine the role of the mass matrix in the current state of the art of dynamic structural analysis. For simplicity and efficiency, the information obtained from the literature study is …
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Cryo-electron microscopy image analysis using multi-frequency vector diffusion maps
… the individual particle with low contrast and high noise level. In this thesis, we propose a novel approach called multi-frequency vector diffusion maps (MFVDM) to improve the efficiency and accuracy of cryo-EM 2D image classification and denoising. This framework incorporates different …
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Cluster detection in general Markov chains with applications to directed networks
… algorithms rely on information provided by the eigenvalues of matrices of the associated network. These techniques cannot be extended for directed networks since the matrices required are symmetric, diagonalizable, and have only real eigenvalues. Directed networks do not necessarily have these …
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Matriz de Leslie e aplicações.
… group in a given time, where the process Birth and death between two successive observation times can be described by demographic parameters, where these parameters are given by the birth rate and survival rate. We study the age distribution at a given moment represented by a vector, which will …
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On Stability and Evolution of Solutions in General Relativity
… with several problems in general relativity and low energy string theory that are pertinent to the time evolution of the gravitational field. We present a formulation of the Einstein field equations in terms of variational techniques borrowed from geometric analysis. These equations yield the …
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SEARCHLIGHT CT: A NEW REGULARIZED RECONSTRUCTION METHOD FOR HIGHLY COLLIMATED X-RAY TOMOGRAPHY
… of interest, yet the algorithm provides a stable and robust reconstruction of the region of interest. The algorithm uses an iteration of the X-ray Transform and its regularized inverse. The performance of the algorithm is illustrated on simulated phantoms as well as experimental data. It is tested …
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Computer-Aided Design Software for Torsional Analysis
… as continuously distributed mass, viscous and structural damping, vibration absorbers, and gear meshes with gear tooth flexibility. The analysis capabilities of the program include forcedresponse and free-vibration analyses. The forced-response analysis module is capable of determining a …
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Step by step eigenvalue analysis with EMTP discrete time solutions
… between the EMTP nodal analysis solution and a corresponding state-space formulation is presented. Compared to conventional state space solutions, the nodal EMTP solution is computationally much more efficient. Compared to the phasor solutions used in transient stability analysis, the …
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Effect of membrane weight on vibrations of air-inflated dams
… In this study, equations of equilibrium and equations of motion were derived for an air inflated dam impounding no water, but loaded with its own membrane weight. It was assumed that the effect of membrane extensibility is negligible in the analysis. Derivatives required in the equations …
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Analysis of the vibrations of inflatable dams under overflow conditions
… state for both the free surface profile and the shape of the dam. The dynamic analysis investigates the small vibrations of the inflatable dam about the equilibrium state. The dam is inextensible, air-inflated, and has two anchored points. The base width, curved perimeter, and internal …
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