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 40 for “"iteration method"”.
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The E² Bathe subspace iteration method
Since its development in 1971, the Bathe subspace iteration method has been widely-used to solve the generalized symmetric-definite eigenvalue problem. The method is particularly useful for solving large eigenvalue problems when only a few of the least dominant eigenpairs are sought. In reference …
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The enriched subspace iteration method and wave propagation dynamics with overlapping finite elements
… dynamic problems, the mode superposition method is the most widely used solution approach. The largest computational effort (about 90% of the total solution time) in the mode superposition method is spent on calculating the required eigenpairs and it is of critical importance to develop …
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A Computational Iteration Method to Analyze Mechanics of Timing Belt Systems with Non-Circular Pulleys
… quantities are solved by a nested numerical iteration method. Periodic torques generated by the varied radius of noncircular pulley are calculated by this computational model to cancel the undesired external cyclic torque, which will increase the life of timing belts.
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A New Numerical Method--Asymptotically Simplified Iteration Method With Patching as Applied to Free and Mixed Convection Heat Transfer
… equations are negligible. Full Navier-Stokes methods, on the other hand, are computationally expensive due to slow convergence and the lack of an economical means to simulate the infinity boundary condition. In this work, we present an efficient, exact solver of the full Navier-Stokes and …
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The Sherman Morrison Iteration
The Sherman Morrison iteration method is developed to solve regularized least squares problems. Notions of pivoting and splitting are deliberated on to make the method more robust. The Sherman Morrison iteration method is shown to be effective when dealing with an extremely underdetermined least …
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Lift on a sphere in shear flow near flat channel bed
… numerical technique which combines the Newton iteration method and the finite element method is used to solve the non-linear Navier-Stokes equations. The technique first linearizes the non-linear terms in the partial differential equations, then solves the linearized equations by the finite …
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Learning-based Optimal Control of Time-Varying Linear Systems Over Large Time Intervals
… This allows the utilization of an off-policy iteration method to learn the controller gains. We show that the performance of the learning-based controller approximates that of the model-based optimal controller and the approximation accuracy improves as the control problem’s time horizon …
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Estimation with samples drawn from different but parametrically related distributions
This dissertation discusses a method of estimation with random samples drawn from two different normal populations. The two populations may be either univariate or multivariate (provided the populations have the same number of variates) and they are to be parametrically related in that the means …
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Integrating matrix method for determining the natural vibrations of a rotating, unsymmetrical beam with application to twisted propeller blades
A numerical method is presented for determining the natural vibration frequencies, and the corresponding mode shapes, of a rotating cantilever beam which has a nonuniform, unsymmetrical cross section. Two coupled fourth-order differential equations of motion with variable coefficients are derived …
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Two-dimensional transient analysis of buried-channel charge-coupled devices
… BCCD has been done. The Finite Fourier Transform method is used to solve the Poisson equation and results obtained by this method are in excellent agreement with those obtained by numerical iteration method such as overrelaxation method. The Finite Fourier Transfer method is about 10 times faster …
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Uncertainty Quantification in Dynamic Problems With Large Uncertainties
… dynamic problems. The Advanced Mean Value (AMV) method is used to calculate probabilistic sound power and the sensitivity of elastically supported panels with small uncertainty (coefficient of variation). Sound power calculations are done using Finite Element Method (FEM) and Boundary Element …
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Modeling and control of flexible structures
… by numerical examples. In the third chapter, a method is presented for solving the algebraic eigenvalue problem for a structure, which combines attractive features of the subspace iteration method and the component-mode synthesis methods. Reduced substructure models are generated automatically …
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Experiment and simulation study on a novel, effective radiative cooing film
… radiative cooling (DRC) is a passive cooling method with zero energy consumption. It features a high ultraviolet visible near-infrared (UV-Vis-NIR) reflectivity and high IR emissivity, and thus achieves the cooling effect even under intense sunlight. A simple, cost-effective process is …
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Numerical computation of perturbation solutions of nonautonomous systems
… and a derivative-free analogue of Newton's iteration method. Furthermore, the motion stability of a dynamical system in the neighborhood of the approximate periodic solutions due to the effect of the extraneous forces, introduced by the process of using the approximate solutions rather than …
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Nonlinear free vibration of beams by one-dimensional and elasticity solutions
… free–free beam is studied based on the Ritz method. The equation of motion is derived depending on Hamilton's principle. A validation of the Ritz method formulation has been conducted by comparison with the Euler–Bernoulli beam theory. The impact of three-dimensional beam length has been …
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Numerical solution and spectrum of boundary-domain integral equations
… BDIE/BDIDE) are solved by the LU decomposition method and Neumann iterations. Convergence of the iterative method is analyzed in relation with the eigen-values of the corresponding discrete BDIE/BDIDE operators obtained numerically. The systems obtained from LBDIE/LBDIDE (discretised …
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Numerical modeling of tool-rock interaction in laminated formations
… actual penetration process of a bit tooth. An iteration method, using an incremental approach, has been applied for the continuous tooth penetration process. Displacements and axial loads have been modified after each iteration. The program provides quantitative information on stresses and …
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Network locational testing and velocity variations in central Virginia
… suites for network stations. Using two different methods of approximating blast origin times, the Closest Station Method (CSM) and the Single Iteration Method (SIM), station delays were derived for different areas within central Virginia. Application of these station delay suites reduced …
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Nonlinear vibration analysis of viscoelastic plates with fractional damping
… years, less attention has been paid to this method due to its complexity and difficulties in dealing with fractional derivatives and fractional integrals. In the present study, the nonlinear vibration analysis of a rectangular composite plate with fractional viscoelastic properties has been …
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Dynamic simulation of heart mitral valve with transversely isotropic material model
This thesis develops two methods for simulating, in the finite element setting, the material behavior of heart mitral valve leaflet tissue. First, a mixed pressure-displacement formulation is used to implement the constitutive material behavior with general 3D elements. Second, a shell is …
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