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Dissertations / Theses on the topic 'Lagrangian equations of motion'

Author: Grafiati

Published: 4 June 2021

Last updated: 9 February 2022

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1

Silverberg, Jon P. "On Lagrangian meshless methods in free-surface flows." Thesis, (1.7 MB), 2005. http://edocs.nps.edu/AR/topic/theses/2005/Jan/05Jan_Silverberg.pdf.

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Thesis (Master of Engineering in Ocean Engineering)--University of California at Berkeley, 2004.<br>"January 2005." Description based on title screen as viewed on May 25, 2010. DTIC Descriptor(s): Fluid Dynamics, Lagrangian Functions, Equations Of Motion, Acceleration, Formulations, Grids, Continuum Mechanics, Gaussian Quadrature, Derivatives (Mathematics), Compact Disks, Boundary Value Problems, Polynomials, Interpolation, Pressure, Operators (Mathematics). DTIC Identifier(s): Multimedia (CD-Rom), Moving Grids, Meshless Discretization, Lifs (Lagrange Implicit Fraction Step), Lagrangian Dynami

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2

Shehadeh, Mhd Ali. "Geometrické řízení hadům podobných robotů." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2020. http://www.nusl.cz/ntk/nusl-417115.

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This master’s thesis describes equations of motion for dynamic model of nonholonomic constrained system, namely the trident robotic snakes. The model is studied in the form of Lagrange's equations and D’Alembert’s principle is applied. Actually this thesis is a continuation of the study going at VUT about the simulations of non-holonomic mechanisms, specifically robotic snakes. The kinematics model was well-examined in the work of of Byrtus, Roman and Vechetová, Jana. So here we provide equations of motion and address the motion planning problem regarding dynamics of the trident snake equipped

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3

Ormeci, Melda. "Inventory Control In A Build-To-Order Environment." Diss., Georgia Institute of Technology, 2006. http://hdl.handle.net/1853/11532.

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This dissertation consists of three independent sections: In the first part, focusing on the auto industry we look at the challenges and solution strategies of employing build-to-order (BTO) with global supply. We consider some familiar tools for managing domestic supply and exploit them for managing international supply, and propose new methods. We study frequency of supply as a way to improve performance. We study the impact of forecast accuracy, and conclude that improvements there alone may not be sufficient to obtain desired savings. Within this perspective we look at a new shipping poli

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4

Warren, Micah. "Special Lagrangian equations /." Thesis, Connect to this title online; UW restricted, 2008. http://hdl.handle.net/1773/5749.

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5

Haskins, Mark. "Constructing special Lagrangian cones /." Digital version accessible at:, 2000. http://wwwlib.umi.com/cr/utexas/main.

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6

Dhaouadi, Firas. "An augmented lagrangian approach for Euler-Korteweg type equations." Thesis, Toulouse 3, 2020. http://www.theses.fr/2020TOU30139.

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On présente un modèle hyperbolique quasi-linéaire de premier ordre approximant les équations d'Euler-Korteweg (E-K), qui décrivent des écoulements de fluides compressibles dont l'énergie dépend du gradient de la densité. Le système E-K peut être vu comme les équations d'Euler-Lagrange d'un Lagrangien soumis à la conservation de la masse. Vu la présence du gradient de la densité dans le Lagrangien, des dérivées d'ordre élevé de la densité apparaissent dans les équations du mouvement. L'approche présentée ici permet d'obtenir un système d'équations hyperboliques qui approxime le système E-K. L'i

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7

Yolcu, Türkay. "Parabolic systems and an underlying Lagrangian." Diss., Georgia Institute of Technology, 2009. http://hdl.handle.net/1853/29760.

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In this thesis, we extend De Giorgi's interpolation method to a class of parabolic equations which are not gradient flows but possess an entropy functional and an underlying Lagrangian. The new fact in the study is that not only the Lagrangian may depend on spatial variables, but also it does not induce a metric. Assuming the initial condition is a density function, not necessarily smooth, but solely of bounded first moments and finite "entropy", we use a variational scheme to discretize the equation in time and construct approximate solutions. Moreover, De Giorgi's interpolation method is rev

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8

Yolcu, Türkay. "Parabolic systems and an underlying Lagrangian." Atlanta, Ga. : Georgia Institute of Technology, 2009. http://hdl.handle.net/1853/29760.

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Thesis (Ph.D)--Mathematics, Georgia Institute of Technology, 2010.<br>Committee Chair: Gangbo, Wilfrid; Committee Member: Chow, Shui-Nee; Committee Member: Harrell, Evans; Committee Member: Swiech, Andrzej; Committee Member: Yezzi, Anthony Joseph. Part of the SMARTech Electronic Thesis and Dissertation Collection.

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9

Thierauf, Rainer Georg. "A Lagrangian for a system of two dyons." PDXScholar, 1988. https://pdxscholar.library.pdx.edu/open_access_etds/3840.

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Maxwell's equations for the electromagnetic field are symmetrized by introducing magnetic charges into the formalism of electrodynamics. The symmetrized equations are solved for the fields and potentials of point particles. Those potentials, some of which are found to be singular along a line, are used to formulate the Lagrangian for a system of two dyons (particles with both electric and magnetic charge). The equations of motion are derived from the Lagrangian. It is shown that the dimensionality constants k and k * , which we r e introduced to define the units of the electromagnetic fields,

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10

Lu, Ming 1968. "A Lagrangian formulation of the Euler equations for subsonic flows /." Thesis, McGill University, 2007. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=103268.

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This thesis presents a Lagrangian formulation of the Euler equations for subsonic flows. A special coordinate transformation is used to define the Lagrangian coordinates, namely the stream function and the Lagrangian distance, in function of the Cartesian coordinates. This Lagrangian formulation introduces two new geometry state variables, and a Lagrangian behavior parameter defining a pseudo-Lagrangian time used during the iteration procedure to obtain the solution for subsonic flows.<br>The eigenstructure and characteristics analysis for the new system of equations is based on a linear Jacob

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11

Sebastianutti, Marco. "Geodesic motion and Raychaudhuri equations." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2019. http://amslaurea.unibo.it/18755/.

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The work presented in this thesis is devoted to the study of geodesic motion in the context of General Relativity. The motion of a single test particle is governed by the geodesic equations of the given space-time, nevertheless one can be interested in the collective behavior of a family (congruence) of test particles, whose dynamics is controlled by the Raychaudhuri equations. In this thesis, both the aspects have been considered, with great interest in the latter issue. Geometric quantities appear in these evolution equations, therefore, it goes without saying that the features of a given sp

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12

Karlgaard, Christopher David. "Second-Order Relative Motion Equations." Thesis, Virginia Tech, 2001. http://hdl.handle.net/10919/34025.

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This thesis presents an approximate solution of second order relative motion equations. The equations of motion for a Keplerian orbit in spherical coordinates are expanded in Taylor series form using reference conditions consistent with that of a circular orbit. Only terms that are linear or quadratic in state variables are kept in the expansion. A perturbation method is employed to obtain an approximate solution of the resulting nonlinear differential equations. This new solution is compared with the previously known solution of the linear case to show improvement, and with numerical integrat

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13

Barlow, Andrew. "An adaptive multi-material Arbitrary Lagrangian Eulerian algorithm for computational shock hydrodynamics." Thesis, Swansea University, 2002. https://cronfa.swan.ac.uk/Record/cronfa43081.

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14

Nazaikinskii, Vladimir E., Bert-Wolfgang Schulze, and Boris Sternin. "Quantization methods in differential equations : Chapter 2: Quantization of Lagrangian modules." Universität Potsdam, 1999. http://opus.kobv.de/ubp/volltexte/2008/2558/.

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In this chapter we use the wave packet transform described in Chapter 1 to quantize extended classical states represented by so-called Lagrangian sumbanifolds of the phase space. Functions on a Lagrangian manifold form a module over the ring of classical Hamiltonian functions on the phase space (with respect to pointwise multiplication). The quantization procedure intertwines this multiplication with the action of the corresponding quantum Hamiltonians; hence we speak of quantization of Lagrangian modules. The semiclassical states obtained by this quantization procedure provide asymptotic solu

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15

Peirce, James P. "Well-posedness of the three-dimensional Lagrangian averaged Navier-Stokes equations /." 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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16

Mašek, Jan. "Modelování postkritických stavů štíhlých konstrukcí." Master's thesis, Vysoké učení technické v Brně. Fakulta stavební, 2016. http://www.nusl.cz/ntk/nusl-239983.

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The aim of the presented thesis is to create a compact publication which deals with properties, solution and examination of behavior of dynamical systems as models of mechanical structures. The opening portion of the theoretical part leads the reader through the subject of description of dynamical systems, offers solution methods and investigates solution stability. As the introduction proceeds, possible forms of structure loading, damping and response are presented. Following chapters discuss extensively the possible approaches to system behavior observation and identification of nonlinear an

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17

McCabe, Ryan Matthew. "Small-scale coastal dynamics and mixing from a Lagrangian perspective /." Thesis, Connect to this title online; UW restricted, 2008. http://hdl.handle.net/1773/10963.

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18

Achmetli, Carolin [Verfasser]. "The Navier-Stokes equations with time discretisation and Lagrangian approximation / Carolin Achmetli." Kassel : Universitätsbibliothek Kassel, 2020. http://d-nb.info/1230933379/34.

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19

Tang, Jiqing. "A Lagrangian heuristic for winner determination problem in combinatorial auctions /." View abstract or full-text, 2004. http://library.ust.hk/cgi/db/thesis.pl?IEEM%202004%20TANG.

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20

McKay, Steven M. "Brownian Motion Applied to Partial Differential Equations." DigitalCommons@USU, 1985. https://digitalcommons.usu.edu/etd/6992.

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This work is a study of the relationship between Brownian motion and elementary, linear partial differential equations. In the text, I have shown that Brownian motion is a Markov process, and that Brownian motion itself, and certain Stochastic processes involving Brownian motion are also martingales. In particular, Dynkin's formula for Brownian motion was shown. Using Dynkin's formula and Brownian motion, I then constructed solutions for the classical Dirichlet problem and the heat equation, given by Δu=0 and ut= 1/2Δu+g, respectively. I have shown that the bounded solution is unique if Browni

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21

Bessette, Gregory Carl. "Modeling of impact problems using an H-adaptive, explicit Lagrangian finite element method in three dimensions /." Full text (PDF) from UMI/Dissertation Abstracts International, 2000. http://wwwlib.umi.com/cr/utexas/fullcit?p3004213.

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22

Monk, Kristina B. "Semi-Lagrangian, Semi-Implicit Solutions of the Shallow Water Equations in One Dimension." Thesis, Monterey, California. Naval Postgraduate School, 1989. http://hdl.handle.net/10945/26236.

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23

Sanyal, Suman. "Stochastic dynamic equations." Diss., Rolla, Mo. : Missouri University of Science and Technology, 2008. http://scholarsmine.mst.edu/thesis/pdf/Sanyal_09007dcc80519030.pdf.

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Thesis (Ph. D.)--Missouri University of Science and Technology, 2008.<br>Vita. The entire thesis text is included in file. Title from title screen of thesis/dissertation PDF file (viewed August 21, 2008) Includes bibliographical references (p. 124-131).

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24

Theron, Willem Frederick Daniel. "Analysis of the rolling motion of loaded hoops /." Link to the online version, 2008. http://hdl.handle.net/10019.1/1206.

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25

Goleniewski, G. "Equations of motion for viscoelastic moving crack problems." Thesis, University of Bath, 1988. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.383260.

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26

Noorani, Azad. "Lagrangian Particles in Turbulence and Complex Geometries." Licentiate thesis, KTH, Stabilitet, Transition, Kontroll, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-141909.

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Wall-dominated turbulent dispersed multiphase flows occur in a variety of industrial, biological and environmental applications. The complex nature of the arrier and the dispersed phase is elevated to a higher level introducing geometrical complexities such as curved walls. Realising such flows and particulate phases poses challenging problems both from computational and also physical point of view. The present thesis tries to address some of these issues Lagrangian computational frame. In the first step, turbulent flow in straight pipes is simulated by means ofdirect numerical simulation wit

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27

Bagderina, Yulia, and Nikolai Tarkhanov. "Differential invariants of a class of Lagrangian systems with two degrees of freedom." Universität Potsdam, 2013. http://opus.kobv.de/ubp/volltexte/2013/6312/.

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We consider systems of Euler-Lagrange equations with two degrees of freedom and with Lagrangian being quadratic in velocities. For this class of equations the generic case of the equivalence problem is solved with respect to point transformations. Using Lie's infinitesimal method we construct a basis of differential invariants and invariant differentiation operators for such systems. We describe certain types of Lagrangian systems in terms of their invariants. The results are illustrated by several examples.

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28

Boll, Raphael [Verfasser], and Yuri [Akademischer Betreuer] Suris. "Classification and Lagrangian structure of 3D consistent quad-equations / Raphael Boll. Betreuer: Yuri Suris." Berlin : Universitätsbibliothek der Technischen Universität Berlin, 2012. http://d-nb.info/1025150473/34.

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29

Vogel, Thomas. "SOLITON SOLUTIONS OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS USING VARIATIONAL APPROXIMATIONS AND INVERSE SCATTERING TECHNIQUES." Doctoral diss., University of Central Florida, 2007. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/3506.

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Throughout the last several decades many techniques have been developed in establishing solutions to nonlinear partial differential equations (NPDE). These techniques are characterized by their limited reach in solving large classes of NPDE. This body of work will study the analysis of NPDE using two of the most ubiquitous techniques developed in the last century. In this body of work, the analysis and techniques herein are applied to unsolved physical problems in both the fields of variational approximations and inverse scattering transform. Additionally, a new technique for estimating the er

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30

Oliveira, Anabela Pacheco de. "Eulerian-Lagrangian analysis of transport and residence times in estuaries and coasts /." Full text open access at:, 1997. http://content.ohsu.edu/u?/etd,209.

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31

Oliveira, Anabela Pacheco de Pacheco de Oliveira Anabela De Oliveira Anabela Pacheco. "A comparison of Eulerian-Lagrangian methods for the solution of the transport equation /." Full text open access at:, 1994. http://content.ohsu.edu/u?/etd,208.

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32

Behrndt, Tapio. "Generalized Lagrangian mean curvature flow in almost Calabi-Yau manifolds." Thesis, University of Oxford, 2011. http://ora.ox.ac.uk/objects/uuid:f8a490d4-5b7c-4709-96e5-65ad3fefe922.

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In this work we study two problems about parabolic partial differential equations on Riemannian manifolds with conical singularities. The first problem we are concerned with is the existence and regularity of solutions to the Cauchy problem for the inhomogeneous heat equation on compact Riemannian manifolds with conical singularities. By introducing so called weighted Hölder and Sobolev spaces with discrete asymptotics, we provide a complete existence and regularity theory for the inhomogeneous heat equation on compact Riemannian manifolds with conical singularities. The second problem we stud

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33

Choi, Gyunghyun. "Nondifferentiable optimization algorithms with application to solving Lagrangian dual problems." Diss., Virginia Tech, 1993. http://hdl.handle.net/10919/38657.

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34

Pinto, João Teixeira. "Slow motion manifolds for a class of evolutionary equations." Diss., Georgia Institute of Technology, 1995. http://hdl.handle.net/1853/29342.

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35

Rotaetxe, Julen. "Boundary treatment and multigrid preconditioning for semi-Lagrangian schemes applied to Hamilton-Jacobi-Bellman equations." Thesis, University of Oxford, 2016. https://ora.ox.ac.uk/objects/uuid:e0d3915d-0467-4a1b-9b3b-7d511df405f0.

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We analyse two practical aspects that arise in the numerical solution of Hamilton-Jacobi-Bellman (HJB) equations by a particular class of monotone approximation schemes known as semi-Lagrangian schemes, namely boundary treatment and multigrid preconditioning. These schemes make use of a wide stencil to achieve convergence and result in discretization matrices that are less sparse and less local than those coming from standard finite difference schemes. This leads to computational difficulties not encountered there. We start by considering the overstepping of the domain boundary and analyse the

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36

Ricca, Renzo L. "Geometric and topological aspects of vortex filament motion." Thesis, University of Cambridge, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.319585.

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37

Cameron, Jonathan M. "Modeling and motion planning for nonholonomic systems." Diss., Georgia Institute of Technology, 1993. http://hdl.handle.net/1853/17793.

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38

Shelton, Jessie. "Twisted and unstable : approaches to the string equations of motion." Thesis, Massachusetts Institute of Technology, 2006. http://hdl.handle.net/1721.1/36813.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Physics, 2006.<br>Includes bibliographical references (p. 183-197).<br>In this thesis we will explore three approaches to aspects of the fundamental structure of string theory. We first provide a brief review of perturbative string theory, and briefly discuss how each of the three topics to be discussed in the body of this thesis depart from this starting point. We then study the open string one-loop tadpole diagram in Witten cubic open string field theory. We compute this diagram both analytically and numerically and study the d

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39

Lentz, TeriAnn. "Numerical studies of the beta-effect in tropical cyclone motion using a semi-Lagrangian model." Thesis, Monterey, California. Naval Postgraduate School, 1991. http://hdl.handle.net/10945/28409.

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40

Ellis, Truman Everett. "High Order Finite Elements for Lagrangian Computational Fluid Dynamics." DigitalCommons@CalPoly, 2010. https://digitalcommons.calpoly.edu/theses/282.

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A general finite element method is presented to solve the Euler equations in a Lagrangian reference frame. This FEM framework allows for separate arbitrarily high order representation of kinematic and thermodynamic variables. An accompanying hydrodynamics code written in Matlab is presented as a test-bed to experiment with various basis function choices. A wide range of basis function pairs are postulated and a few choices are developed further, including the bi-quadratic Q2-Q1d and Q2-Q2d elements. These are compared with a corresponding pair of low order bi-linear elements, traditional Q1-Q0

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41

Almesallmy, Mohammed. "Experimental and analytical investigation of inertial propulsion mechanisms and motion simulation of rigid-multi-body mechanical systems /." View online ; access limited to URI, 2006. http://0-digitalcommons.uri.edu.helin.uri.edu/dissertations/3239899.

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42

Jones, Garrett D. "Semi-rigid towing model for analysis of maneuvering in the horizontal plane." Thesis, Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 2001. http://handle.dtic.mil/100.2/ADA397072.

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Thesis (M.S. in Mechanical Engineering) Naval Postgraduate School, Sept. 2001.<br>Thesis advisor, Papoulias, Fotis A. "September 2001." Includes bibliographical references (p. 47). Also Available in print.

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43

Bull, D. R. "Soliton dynamics and symmetry in CP² sigma models." Thesis, Durham University, 1995. http://etheses.dur.ac.uk/5452/.

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The primary purpose of the work undertaken in this thesis is to investigate soliton scattering in the non linear CP² sigma model. This has two spatial and one temporal dimension. The vector fields used to represent the model have three components and hence there exists a global SU(3) symmetry. The effects of adding an Hopflike term to the basic lagrangian is considered. A review of the model is given in chapter I. The second chapter discusses Noether's theorem which states that each symmetry of the lagrangian has associated with it a conserved charge. In the third chapter, the eight charges re

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44

Tian, Heng, and 田恒. "Application of hierarchical equations of motion to time dependent quantum transport." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2012. http://hub.hku.hk/bib/B47869446.

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Within the exact framework established recently, which is a successful marriage between the time dependent density functional theory for open electronic system and quantum dissipation theory formulated in the hierarchical equations of motion, an entirely new scheme is proposed in this thesis to simulate the time-dependent quantum transport in nano-devices at both zero and finite temperature equally without relying on the pole structure of the Fermi distribution function. Neither does it depend on any non-unique parametrization of the line-width matrix, hence, this new practical approac

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45

Köppe, Jeannette [Verfasser]. "Derivation and application of quantum Hamilton equations of motion / Jeannette Köppe." Halle, 2018. http://d-nb.info/115340186X/34.

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46

Lough, Michael F. Saffman P. G. Saffman P. G. "The motion of thin-cored vortex filaments : the equations of motion and their solution for some special cases /." Diss., Pasadena, Calif. : California Institute of Technology, 1995. http://resolver.caltech.edu/CaltechETD:etd-10172007-093152.

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47

Schneider, David. "Nonholonomic Euler-Poincaré equations and stability in Chaplygin's sphere /." Thesis, Connect to this title online; UW restricted, 2000. http://hdl.handle.net/1773/5783.

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48

Kim, Young K. "A numerical solution of implicit nonlinear equations of motion for rotor blades." Diss., Georgia Institute of Technology, 1990. http://hdl.handle.net/1853/12047.

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49

Park, Jungho 1958. "Uncoupling of rigid-flexible multibody equations of motion using node annexation method." Diss., The University of Arizona, 1997. http://hdl.handle.net/10150/282519.

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This study presents the node annexation method for modeling kinematic joints between rigid and flexible bodies of rigid-flexible multibody systems. Each node of a flexible body is assumed to have lumped mass and three translational degrees of freedom, resulting in a diagonal mass matrix. Based on the node annexation method, both the nodal- and the modal-coordinate formulations for rigid-flexible multibody dynamics are developed. Conventionally rigid-to-flexible-body joints are treated as kinematic constraints using the Lagrange multiplier method. The formulations based on kinematic constraint

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50

Thomson, Douglas G. "Evaluation of helicopter agility through inverse solution of the equations of motion." Thesis, University of Glasgow, 1987. http://theses.gla.ac.uk/4927/.

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Helicopter agility in nap-of-the-earth flight is widely recognised to be of great importance. Despite this. a general method of quantifying agility does not exist. All previous attempts to quantify agility have been restricted either to flight tests or to simple kinematic modelling - both with obvious disadvantages. A method of quantifying helicopter inherent agility. the agility of the configuration independent of the pilot. utilising inverse solutions of the equations of motion has been developed. A value for the inherent agility of a helicopter is given by studying its performance over a se

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