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 39 for “"non-linear equations"”.
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The Mathematics behind Speciated Isotope Dilution Mass Spectrometry
… elemental -- in a sample by solving a system of non-linear equations. This thesis explores multiple mathematical methods to solve SIDMS equations, and compares the properties of these solution methods. Simulation analysis is conducted to provide uncertainty estimates.
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Statistical models of claim amount distributions in general insurance
… which avoids solving a complicated set of non-linear equations. A procedure which avoids solving non-linear equations is also suggested for the least squares estimation of the 3-parameter lognormal, 3-param_etor Weibull and the Pareto distribution of the second kind. In order to show how …
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Análise de estruturas no estado plano de tensões e deformações com materiais elásticos, ortótropos e não lineares
Structural analysis for elastic-materials with non-linear constitutive equations. The principle of stationary energy is shown under weaker conditions than the usual assumption of a generalized Hooke's law. The finite element method is used for solving plane stress and plane strain problems. This …
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Determining Three-Dimensional Motion and Structure of a Rigid Body Using Point and Straight Line Correspondences (Stereo, Graphics, Vector)
… (LCs) (which are assumed to be given), equations in terms of the 3D motion parameters are obtained and solved. A geometrical approach is taken, by using the unit sphere as the surface of projection and a homogeneous coordinate representation of points on it. For the case of PC methods, …
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A Newton Method For The Continuation Of Invariant Tori
… torus of an n-dimensional map. A set of non-linear equations is formulated and solved using the Newton-Raphson scheme. The method requires a set of sampled points on a guess invariant torus. An interpolant is passed through these points to compute the pointwise shift on the invariant …
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Stability theory of differential equations
… problem of determining the stability of a set of linear differential equations has been of interest to mathematicians and engineers for a considerable length of time. The problem is attacked by obtaining the characteristic equation of the original set of equations and determining the stability of …
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Drag considerations for flight in atmospheric turbulence
… is determined. Furthermore, a classic set of non-linear equations of motion for longitudinal flight is reduced to a set of linear equations by linearization. The location of the CG of the aircraft is then changed and a linear feedback control law is used to retain the dynamic characteristic …
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Developing a novel mechanistic model for four-phase oil-water-gas-sand stratified flow in a horizontal pipe.
… gas layers are modelled by a system of twelve non-linear equations. An iterative numerical method has been developed to solve this system of non-linear equations. This solving method is using pressure balance in the moving phases as a criterion to converge to a solution that is physically …
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Computer-aided RRSS spatial mechanism synthesis and design
… as well as analyses of the RRSS mechanism. Linear equations are involved in the synthesis of R-R dyad for three and four positions. For five to seven positions, non-linear equations arc involved and the R-R dyads arc synthesized using a least-squares algorithm. For S-S dyad synthesis, all …
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A parallel multidimensional weighted histogram analysis method
… The WHAM algorithm iterates two coupled, non-linear, equations, until convergence at an acceptable level of accuracy. The equations have quadratic time complexity for a single reaction coordinate. However, this increases exponentially with the number of reaction coordinates under …
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Six degree of freedom vehicle controller design for the operation of an unmanned underwater vehicle in a shallow water environment
… of the highly coupled nature of the governing non-linear equations of motion. This coupling between an UUV's six degrees of freedom (6 DOF) is particularly important when attempting complex maneuvers such as coordinated turns (e.g. simultaneous dive and heading change) or vehicle hovering in …
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Exploring two-phase hydrothermal circulation at a seafloor pressure of 25 MPa: Application for EPR 9°50′N
… FISHES. The FISHES code solves the coupled non-linear equations for mass, momentum, energy, and salt conservation in a NaCl-H2O fluid to model the seafloor hydrothermal processes. These simulations use homogeneous box geometries at a fixed seafloor pressure of 25 MPa with constant bottom …
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CRITICAL DYNAMICS OF LIQUID CRYSTAL ABOVE THE ISOTROPIC - NEMATIC PHASE TRANSITION
… scattering momentum transfer k. We study the non-linear effects in the dynamics of molecular orientation under such a condition. We first derive the complete quadratic dynamic equations for molecular orientation and translational velocity, based on Mori's theory of the generalized Langevin …
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Non-linear finite element analysis of reinforced concrete panels and infilled frames under monotonic and cyclic loading. Structures under plane stress loading are analysed up to and beyond the peak load. Non-linear material properties including cracking, crushing and the non-linear behaviour at the interface of members are considered.
A non-linear finite element program to simulate the behaviour of infilled frames and plane stress reinforced concrete members under the action of monotonic and cyclic loading has been developed. Steel is modelled as a strain hardening plastic material, and in the concrete model cracking, yielding …
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Least Square Methods for Solving Systems of Inequalities With Application to an Assignment Problem
… The specific assignment problem has piece-wise linear additive separable server cost functions, which are continuous everywhere except at zero, the point of discontinuity for the $\{0,1\}$ assignment condition. Continuous relaxation of the $\{0,1\}$ constraints yields a linear programming …
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Direct-Current Power Flow Solvers and Energy Storage Sizing
… the PF task, consisting of solving a system on non-linear equations, in DC power systems. We consider a possibly meshed network hosting ZIP loads and constant-voltage/power generators. Uncertainty is another inevitable side-effect of a modern power grid with vast deployments of renewable …
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Response of a plastic circular plate to a distributed time-varying loading
From the results and equations shown herein, several important conclusions are evident. The equations derived here considering bending deformations only are seen to be more general in form than existing solutions, and reduction to the existing cases is direct. For example if the loading is …
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A theoretical investigation of an averaged-structure eddy viscosity model applied to turbulent shear flows
… and through circular pipes. The Navier-Stokes equations are simplified and solved analytically, with the aid of Integral Transform methods and asymptotic expansions. With the appropriate numerical values for the model constants, the approximate asymptotic solutions for the mean velocities are …
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Geometric Dimensionality Reduction
… establish Geometric Dimensionality Reduction, a non-linear data compression technique that utilizes low dimensional manifolds embedded in dimensional spaces to form composite contraction-and-projection maps. Geometric Dimensionality Reduction is predominantly demonstrated through a novel …
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Parameter estimation for single-phase induction motor from transient measurements
… algorithm iteratively solves a system of non-linear equations involving the parameter values of leakage inductances, magnetizing inductance, and rotor resistance. Selected parameters are further tuned based on a non-linear least squares (NLS) formulation that minimizes the mismatch between …
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