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 “"Euler-Lagrange"”.
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Modellierung des Spiekerooger Rückseitenwatts mit einem gekoppelten Euler-Lagrange-Modell auf der Basis von ERSEM
… Die Bewegung des Wassers wird durch einen Lagrange'schen Ansatz beschrieben, bei dem sich volumenbehaftete Tracer entlang eines vorab berechneten Strömungsfeldes bewegen, und jeder Tracer für sich einen Mesokosmos darstellt, in dem das gesamte pelagische Ökosystemmodell von ERSEM simuliert …
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Invariant Euler-Lagrange Equations for Variational Problems Defined over Framed Curves in Two and Three Dimensions
… on deriving and understanding the invariant Euler-Lagrange equations for variational problems defined over framed curves in two and three dimensions. We make use of the moving frame machinery developed by Fels and Olver ([FO99]) along with the structure of the invariant variational complex as …
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Pneumatic conveying in the dense and dilute phase
… Two computational models were used, one with an Euler-Lagrange frame of reference and the other, an Euler-Euler one. The Euler-Lagrange model takes into account particle-wall collisions but not particle-particle interactions, and was only done in the dilute solid phase. The Euler-Euler model used …
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Patterns in an elastic bar
… on an elastic foundation [63] which leads to the Euler-Lagrange equation for the functional ε(u) = ∫ between 0 and 1 (γu²xx +W(ux) + ɑu²)dx, where x is an element of the set (0, 1). with double Dirichlet boundary conditions. Here the potential W(p) = ((|p| - 1)²), is not differentiable at p = …
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Differential and Integral Invariance of the Relativistic Vlasov-Boltzmann Equation and the Associated Invariant Variational Problem
… and is shown to yield the kinetic equations as Euler-Lagrange equations for the variational principle, as well as first integrals for the Euler-Lagrange, which are interpreted as conservation laws, for energy-linear momentum and angular momentum under the action of the Poincare group. Finally, …
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Spacecraft trajectory design utilizing resonance orbits in a hybrid optimal control framework
… the circular restricted three-body problem (e.g. Euler-Lagrange point orbits and their invariant manifolds) within the same automated global optimization framework to produce low-energy trajectory solutions. This work outlines necessary dynamical systems theory. Described next is how to generate …
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Geometric discretization schemes and differential complexes for elasticity
… on this configuration manifold. The discrete Euler-Lagrange equations are obtained without using Lagrange multipliers.
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Topology Optimization Using Load Path and Homogenization
… a global optimum which is found by solving the Euler-Lagrange optimality criteria. The optimal density of a structure is derived using optimality criteria and optimized load paths. To attain the topology of the microstructure, the principal load paths that follow the optimal principal stress …
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Tipping Points in Stochastically Perturbed Linear Filippov Systems
… functional using solutions to the corresponding Euler-Lagrange equations and a gradient flow applied to the functional. We also prove an extension of Kramer's law to determine bounds for the expected tipping time. Using these methods, we determine the most probable transition path from a frozen …
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Development of a computationally efficient bubble column simulation approach by way of statistical bubble micro-flow modelling
… papers over the past two decades. Here the Euler-Euler approach has been recommended for the simulation of large scale columns, however, this approach is based on the most assumptions and yields the least amount of flow field information. The Euler-Lagrange approach treats bubbles as …
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Dynamic modeling of a robotic spacecraft for NASA’s asteroid redirect robotic mission
… system. This model is derived using the Euler-Lagrange formulation and simulated in the Matlab-Simulink environment. Another model is derived using Kane’s formulation and SD/FAST, a software package dedicated to deriving dynamic models. Both models are linearized numerically about an …
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Lagrangian structures and multidimensional consistency
… equivalently a volume form), which through the Euler-Lagrange equations provides us with one single equation (i.e., one per component of the dependent variable). Multidimensional consistency is a key integrability property of certain discrete systems; it implies that we are dealing with infinite …
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Mathematical Modelling of Smectic Liquid Crystals
… by constructing and solving the corresponding Euler-Lagrange coupled partial differential equations commonly found in mathematical physics. It is anticipated that these solutions will provide information for experimentalists concerning the special phenomena found in liquid crystals, potentially …
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Grobstruktursimulation der Biomassevergasung in einer Wirbelschicht am Beispiel von Holz
… dieser Arbeit auf Basis eines zweidimensionalen Euler-Lagrange-Modelles untersucht wird. Gegenüber anderen Modellen bietet diese Methode den Vorteil das Geschehen innerhalb eines Wirbelschichtreaktors sowohl auf Basis der Gasphase als auch auf Basis einzelner Partikel zu untersuchen und damit …
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Discrete Fractional Calculus and Its Applications to Tumor Growth
… problem in discrete calculus and the related Euler-Lagrange equation are developed in the fourth chapter. In the fifth chapter, the fractional Gompertz difference equation is introduced. <br> First, the existence and uniqueness of the solution is shown and then the equation is solved by the …
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Modeling and Control of the UGV Argo J5 with a Custom-Built Landing Platform
… while the landing platform model follows the Euler-Lagrange formulation. Different controllers are, then, derived, implemented to demonstrate: i.) self-leveling accuracy of the landing platform, ii.) trajectory tracking capabilities of the Argo J5 when moving in uneven terrains. The novelty of …
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Development of a nonlinear predictive control algorithm and its application to flotation
… solving optimal control problems, applying the Euler-Lagrange equations to transofrm the optimal control problem into a two-point boundary value problem (BVP). Conventionally these problems have been solved using the multiple shooting differential equation solver, or variants of it. In this work …
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Interplay of Geometry and Mechanics: Disordered Spring Networks and Shape-changing Cerebella
… The softening mechanism is independent of Euler-buckling instabilities. Introduction of area-conserving regular polygons as inclusions in the semiflexible network introduces non-affinities in the elastic response of the system. The non-affine bending of filaments leads to compression …
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Development and validation of a novel hybrid CFD slurry model
… speaking, be separated into two categories: Euler-Euler (EE), and Euler-Lagrange (EL). EE models the fluid and particles as two continua, is fast to run, but lacks particle impact data which is required for erosion modelling. EL models a fluid phase and a particulate phase, is more …
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Automated detection of invariant manifold intersections using grid based approach
… of interest are the invariant manifolds of the Euler-Lagrange points. The construction of LE trajectories in the CR3BP is most often accomplished by manually finding homoclinic and/or heteroclinic intersections of invariant manifolds located on specific Poincare surfaces of section. …
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