Academic literature on the topic 'Principe de Hamilton'
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Journal articles on the topic "Principe de Hamilton":
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Flament, Dominique. "W. R. Hamilton." Revista Brasileira de História da Ciência 1, no. 1 (June 3, 2008): 71–93. http://dx.doi.org/10.53727/rbhc.v1i1.389.
Abstract:
Hamilton prend le risque d’une proposition en apparence ouvertement métaphysique et en rupture avec celles de travaux réformateurs déjà en cours de développement depuis le début des années 1820. Il surprend quand, opposé par principe aux autres réformateurs qui prônent la nécessité d’une algèbre symbolique, il substitue l’”ordre en progression” à la grandeur, après avoir signalé l’évidence de la relation entre le temps et les progrès de l’algèbre. Il construit une science mathématique du temps pur: elle “existe”, est naturellement comparable à l’algèbre (comme Science), elle coïncide avec elle et, pour finir, est l’algèbre elle-même. L’algèbre est ainsi tirée d’affaire en devenant une branche de la philosophie de l’esprit. La “découverte” du quaternion sera considérée, dès les “opposants” de l’École algébrique anglaise, comme l’ouverture sur la liberté de “créer” en mathématiques.
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Boyle, Deborah. "Elizabeth Hamilton on Sympathy and the Selfish Principle." Journal of Scottish Philosophy 19, no. 3 (September 2021): 219–41. http://dx.doi.org/10.3366/jsp.2021.0309.
Abstract:
In A Series of Popular Essays (1813 ) , Scottish philosopher Elizabeth Hamilton (1758–1816) identifies two ‘principles’ in the human mind: sympathy and the selfish principle. While sharing Adam Smith's understanding of sympathy as a capacity for fellow-feeling, Hamilton also criticizes Smith's account of sympathy as involving the imagination. Even more important for Hamilton is the selfish principle, a ‘propensity to expand or enlarge the idea of self’ that she distinguishes from both selfishness and self-love. Counteracting the selfish principle requires cultivating sympathy and benevolent affections from birth. Since no one can do this alone, Hamilton's prescription appeals ineliminably to the caregivers of the very young; and Hamilton was ahead of her time in claiming that these caregivers need not be female.
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Junker, Philipp, and Daniel Balzani. "An extended Hamilton principle as unifying theory for coupled problems and dissipative microstructure evolution." Continuum Mechanics and Thermodynamics 33, no. 4 (June 7, 2021): 1931–56. http://dx.doi.org/10.1007/s00161-021-01017-z.
Abstract:
AbstractAn established strategy for material modeling is provided by energy-based principles such that evolution equations in terms of ordinary differential equations can be derived. However, there exist a variety of material models that also need to take into account non-local effects to capture microstructure evolution. In this case, the evolution of microstructure is described by a partial differential equation. In this contribution, we present how Hamilton’s principle provides a physically sound strategy for the derivation of transient field equations for all state variables. Therefore, we begin with a demonstration how Hamilton’s principle generalizes the principle of stationary action for rigid bodies. Furthermore, we show that the basic idea behind Hamilton’s principle is not restricted to isothermal mechanical processes. In contrast, we propose an extended Hamilton principle which is applicable to coupled problems and dissipative microstructure evolution. As example, we demonstrate how the field equations for all state variables for thermo-mechanically coupled problems, i.e., displacements, temperature, and internal variables, result from the stationarity of the extended Hamilton functional. The relation to other principles, as the principle of virtual work and Onsager’s principle, is given. Finally, exemplary material models demonstrate how to use the extended Hamilton principle for thermo-mechanically coupled elastic, gradient-enhanced, rate-dependent, and rate-independent materials.
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Marrocco, Michele. "“A call to action”: Schrödinger's representation of quantum mechanics via Hamilton's principle." American Journal of Physics 91, no. 2 (February 2023): 110–15. http://dx.doi.org/10.1119/5.0083015.
Abstract:
A few years ago, one of the former Editors of this journal launched “a call to action” (E. F. Taylor, Am. J. Phys. 71, 423–425 (2003)) for a revision of teaching methods in physics in order to emphasize the importance of the principle of least action. In response, we suggest the use of Hamilton's principle of stationary action to introduce the Schrödinger equation. When considering the geometric interpretation of the Hamilton–Jacobi theory, the real part of the action [Formula: see text] defines the phase of the wave function [Formula: see text], and requiring the Hamilton–Jacobi wave function to obey wave-front propagation (i.e., [Formula: see text] is a constant of the motion) yields the Schrödinger equation.
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Fusco Girard, Mario. "Evaluation of the Feynman Propagator by Means of the Quantum Hamilton-Jacobi Equation." Quanta 12, no. 1 (April 24, 2023): 22–26. http://dx.doi.org/10.12743/quanta.v12i1.223.
Abstract:
It is shown that the complex phase of the Feynman propagator is a solution of the quantum Hamilton–Jacobi equation, namely, it is the quantum Hamilton's principal function (or quantum action). Therefore, the Feynman propagator can be computed either by means of the path integration, or by the way of the Hamilton–Jacobi equation. This is analogous to what happens in classical mechanics, where the Hamilton's principal function can be computed either by integrating the Lagrangian along the extremal paths, or as a solution of partial differential equation, namely the classical Hamilton–Jacobi equation. If the path is decomposed in the classical one and quantum fluctuations, the contribution of these quantum fluctuations satisfies a non-linear partial differential equation, whose coefficients depend on the classical action. When the contribution of the quantum fluctuations depend only on the time, it can be computed by means of a simple integration. The final results for the propagators in this case are equal to the Van Vleck–Pauli–Morette expressions, even though the two derivations are quite different.Quanta 2023; 12: 22–26.
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Fusco Girard, Mario. "The Quantum Hamilton–Jacobi Equation and the Link Between Classical and Quantum Mechanics." Quanta 11, no. 1 (November 3, 2022): 42–52. http://dx.doi.org/10.12743/quanta.v11i1.202.
Abstract:
We study how the classical Hamilton's principal and characteristic functions are generated from the solutions of the quantum Hamilton–Jacobi equation. While in the classically forbidden regions these quantum quantities directly tend to the classical ones, this is not the case in the allowed regions. There, the limit is reached only if the quantum fluctuations are eliminated by means of coarse-graining averages. Analogously, the classical Hamilton–Jacobi scheme bringing to the motion's equations arises from a similar formal quantum procedure.Quanta 2022; 11: 42–52.
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Tabarrok, B., and C. M. Leech. "Hamiltonian Mechanics for Functionals Involving Second-Order Derivatives." Journal of Applied Mechanics 69, no. 6 (October 31, 2002): 749–54. http://dx.doi.org/10.1115/1.1505626.
Abstract:
Hamilton’s principle was developed for the modeling of dynamic systems in which time is the principal independent variable and the resulting equations of motion are second-order differential equations. This principle uses kinetic energy which is functionally dependent on first-order time derivatives, and potential energy, and has been extended to include virtual work. In this paper, a variant of Hamiltonian mechanics for systems whose motion is governed by fourth-order differential equations is developed and is illustrated by an example invoking the flexural analysis of beams. The variational formulations previously associated with Newton’s second-order equations of motion have been generalized to encompass problems governed by energy functionals involving second-order derivatives. The canonical equations associated with functionals with second order derivatives emerge as four first-order equations in each variable. The transformations of these equations to a new system wherein the generalized variables and momenta appear as constants, can be obtained through several different forms of generating functions. The generating functions are obtained as solutions of the Hamilton-Jacobi equation. This theory is illustrated by application to an example from beam theory the solution recovered using a technique for solving nonseparable forms of the Hamilton-Jacobi equation. Finally whereas classical variational mechanics uses time as the primary independent variable, here the theory is extended to include static mechanics problems in which the primary independent variable is spatial.
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Miller, Karol, and Boris S. Stevens. "Modeling of Dynamics and Model-Based Control of DELTA Direct-Drive Parallel Robot." Journal of Robotics and Mechatronics 7, no. 4 (August 20, 1995): 344–52. http://dx.doi.org/10.20965/jrm.1995.p0344.
Abstract:
The term ""Extended Space"" used in this article is hereby defined as a union of the operational and articulation spaces of a manipulator. The advantages in the use of such coordinates (extended space) in the description of DELTA robot is presented here and discussed in some detail. The emerging importance of parallel robots has necessitated an increased sophistication to achieve improved control. A method based on the direct application of the Hamilton's Principle in extended space, has been applied efficiently to solving the inverse problem of dynamics and implemented for real time application in the control law of the direct-drive version of DELTA parallel robot.1-3) The full dynamic model of this robot has been developed herein. The numerical efficiency and other benefits of this approach over the more classical Lagrange and Newton-Euler methods for the inverse dynamics problem solving are also briefly discussed. For similar models, the version obtained by the direct application of Hamilton's principle is found to possess 23% less mathematical operations than for the Lagrangebased model. Frictional effects. being very small in the direct-drive manipulator, are not included in the present Hamilton development but can be handled with a slight modification. Furthermore the acceleration information of the robot are not required as input states to the Hamilton model. The measurement of trajectory tracking performances for different controllers is conducted. The repeatability of the robot trajectory tracking is determined. The improvement obtained in the control algorithm's performance after the Hamilton implementation is proven to be conclusive.
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SHEEHAN, COLLEEN A. "Madison v. Hamilton: The Battle Over Republicanism and the Role of Public Opinion." American Political Science Review 98, no. 3 (August 2004): 405–24. http://dx.doi.org/10.1017/s0003055404001248.
Abstract:
This article examines the causes of the dispute between James Madison and Alexander Hamilton in the early 1790s. Though Hamilton initially believed that Madison's opposition to the Federalist administration was probably motivated by personal animosity and political advantage, in later years he concluded what Madison had long argued: the controversy between Republicans and Federalists stemmed from a difference of principle. For Madison, republicanism meant the recognition of the sovereignty of public opinion and the commitment to participatory politics. Hamilton advocated a more submissive role for the citizenry and a more independent status for the political elite. While Madison did not deny to political leaders and enlightened men a critical place in the formation of public opinion, he fought against Hamilton's thin version of public opinion as “confidence” in government. In 1791–92 Madison took the Republican lead in providing a philosophic defense for a tangible, active, and responsible role for the citizens of republican government.
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Gong, Sheng-nan, and Jing-li Fu. "Noether’s theorems for the relative motion systems on time scales." Applied Mathematics and Nonlinear Sciences 3, no. 2 (December 1, 2018): 513–26. http://dx.doi.org/10.2478/amns.2018.2.00040.
Abstract:
AbstractThis paper propose Noether symmetries and the conserved quantities of the relative motion systems on time scales. The Lagrange equations with delta derivatives on time scales are presented for the system. Based upon the invariance of Hamilton action on time scales, under the infinitesimal transformations with respect to the time and generalized coordinates, the Hamilton’s principle, the Noether theorems and conservation quantities are given for the systems on time scales. Lastly, an example is given to show the application the conclusion.
Dissertations / Theses on the topic "Principe de Hamilton":
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Marone-Hitz, Pernelle. "Modélisation de structures spatiales déployées par des mètres ruban : vers un outil métier basé sur des modèles de poutre à section flexible et la méthode asymptotique numérique." Thesis, Ecole centrale de Marseille, 2014. http://www.theses.fr/2014ECDM0011/document.
Abstract:
Les dimensions des satellites spatiaux tendent à croître fortement alors que le volume disponible dans la coiffe des lanceurs est limité. L'utilisation de structures déployables permet de résoudre cette contradiction. Afin de développer l'offre disponible, le département Recherche de Thales Alenia Space étudie les mètres rubans comme solution innovante de déploiement. La première structure envisagée est un télescope déployé par le déroulement de six mètres rubans assurant également le positionnement du miroir secondaire. D'autres structures déployables utilisant les propriétés des mètres rubans sont également en cours d'étude : mât, panneaux solaires, etc.Il convient alors de se doter d'outils de modélisation spécifiques pour modéliser les scénarios de déploiement et multiplier les configurations envisagées. Deux précédentes thèses ont conduit à l'élaboration de modèles énergétiques de poutre à section flexible, rendant compte du comportement plan des rubans ([Guinot2011]) puis de leur comportement tridimensionnel ([Picault2014]). Cette thèse présente différentes contributions autour de ces modèles de poutre à section flexible. Les hypothèses du modèle ont été améliorées. Le re-positionnement de la ligne de référence sur le barycentre des sections conduit à des résultats plus proches des scénarios physiques (apparition et disparition des plis sur le ruban). A ce jour, les hypothèses et les équations du modèle sont définitivement formalisées. Nous avons établi les équations locales 1D (équilibre, comportement) dans le cas des comportements tridimensionnels avec le souci de la plus grande généralité. Établir ensuite les équations dans des cas dérivés simplifiés (restriction aux comportements 2D, section faiblement courbée) nous a permis d'obtenir un certain nombre de solutions analytiques et les équations à implémenter dans l'outil métier.Nous avons développé sur le logiciel de continuation ManLab les premiers éléments d'un outil métier performant dédié à la modélisation des mètres rubans. Nous avons ainsi pu réaliser deux contributions principales :- Un outil généraliste, performant en temps de calcul, permettant d'étudier les systèmes différentiels 1D (BVP, Boundary Value Problems). Les équations locales des modèles de poutre à section flexible ont été implémentées dans cet outil, avec une discrétisation par interpolation polynomiale et collocation orthogonale.- Un élément fini spécifique pour les poutres à section flexible et son implémentation dans ManLab.Ces éléments ont permis de réaliser différentes simulations numériques conduisant à une meilleure compréhension du comportement des mètres rubans grâce aux diagrammes de bifurcation associés à plusieurs essais significatifsDimensions of spatial satellites tend to grow bigger and bigger, whereas the volume in launchers remains very limited. Deployable structures must be used to meet this contradiction. To expand the offer of possible solutions, the Research Department of Thales Alenia Space is currently studying tape springs as an innovative deployment solution. The first structure to be considered is a telescope that is deployed by the uncoiling of six tape springs that also ensure the positioning of the secondary mirror. Other deployable structures that use the properties of tape springs are under investigation : mast, solar panels,...Specific modeling tools then appear compulsory to model deployment scenarios and multiply the tested configurations. Two previous PhD thesis lead to the development of energetic rod models with flexible cross-sections that account for planar ([Guinot2011])and three dimensional behavior of tape springs ([Picault2014]). This PhD thesis presents several contributions on these rod models with flexible cross-sections. The hypotheses of the model were improved. Re-positioning the reference rod line so that it passes through the sections' centroids leads to results that are closer to experimental scenarios (creation and disappearance of folds in the spring). The hypotheses and equations of the model are now definitively formalized.We have derived the 1D local equations in the three-dimensional behavior case in the most generalist way. Then, the derivation of the equations in simplified cases (restriction to 2D behavior, shallow cross-section) enabled us to obtain several analytic solutions and the equations to implement in the specific modeling tool.We have developed on the continuation software ManLab the first elements towards a home made, efficient modeling tool dedicated to the modeling of tape springs. Two main contributions can be listed :- A generalist tool, efficient in calculus times, to study 1D differential problems (BVP, Boundary Value Problems). The local equations of the rod models with flexible cross sections were implemented in this tool, with a discretization based on polynomial interpolation and orthogonal collocation.- A specific finite element for rods with flexible cross sections and its implementation in ManLab.These elements enabled us to perform several numerical simulations and have a better understanding of the behavior of tape springs thanks to full bifurcation diagrams obtained for significant tests
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Nguyen, Thi Tuyen. "Comportement en temps long des solutions de quelques équations de Hamilton-Jacobi du premier et second ordre, locales et non-locales, dans des cas non-périodiques." Thesis, Rennes 1, 2016. http://www.theses.fr/2016REN1S089/document.
Abstract:
La motivation principale de cette thèse est l'étude du comportement en temps grand des solutions non-bornées d'équations de Hamilton-Jacobi visqueuses dans RN en présence d'un terme d'Ornstein-Uhlenbeck. Nous considérons la même question dans le cas d'une équation de Hamilton-Jacobi du premier ordre. Dans le premier cas, qui constitue le cœur de la thèse, nous généralisons les résultats de Fujita, Ishii et Loreti (2006) dans plusieurs directions. La première est de considérer des opérateurs de diffusion plus généraux en remplaçant le Laplacien par une matrice de diffusion quelconque. Nous considérons ensuite des opérateurs non-locaux intégro-différentiels de type Laplacien fractionnaire. Le second type d'extension concerne le Hamiltonien qui peut dépendre de x et est seulement supposé sous-linéaire par rapport au gradientThe main aim of this thesis is to study large time behavior of unbounded solutions of viscous Hamilton-Jacobi equations in RN in presence of an Ornstein-Uhlenbeck drift. We also consider the same issue for a first order Hamilton-Jacobi equation. In the first case, which is the core of the thesis, we generalize the results obtained by Fujita, Ishii and Loreti (2006) in several directions. The first one is to consider more general operators. We first replace the Laplacian by a general diffusion matrix and then consider a non-local integro-differential operator of fractional Laplacian type. The second kind of extension is to deal with more general Hamiltonians which are merely sublinear
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Claisse, Julien. "Dynamique des populations : contrôle stochastique et modélisation hybride du cancer." Phd thesis, Université Nice Sophia Antipolis, 2014. http://tel.archives-ouvertes.fr/tel-01066020.
Abstract:
L'objectif de cette thèse est de développer la théorie du contrôle stochastique et ses applications en dynamique des populations. D'un point de vue théorique, nous présentons l'étude de problèmes de contrôle stochastique à horizon fini sur des processus de diffusion, de branchement non linéaire et de branchement-diffusion. Dans chacun des cas, nous raisonnons par la méthode de la programmation dynamique en veillant à démontrer soigneusement un argument de conditionnement analogue à la propriété de Markov forte pour les processus contrôlés. Le principe de la programmation dynamique nous permet alors de prouver que la fonction valeur est solution (régulière ou de viscosité) de l'équation de Hamilton-Jacobi-Bellman correspondante. Dans le cas régulier, nous identifions également un contrôle optimal markovien par un théorème de vérification. Du point de vue des applications, nous nous intéressons à la modélisation mathématique du cancer et de ses stratégies thérapeutiques. Plus précisément, nous construisons un modèle hybride de croissance de tumeur qui rend compte du rôle fondamental de l'acidité dans l'évolution de la maladie. Les cibles de la thérapie apparaissent explicitement comme paramètres du modèle afin de pouvoir l'utiliser comme support d'évaluation de stratégies thérapeutiques.
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Delacroix, Bastien. "Développement d'un modèle intégral avec transport d'une fonction couleur pour la simulation d'écoulements de films minces partiellement mouillants." Electronic Thesis or Diss., Toulouse, ISAE, 2024. http://www.theses.fr/2024ESAE0005.
Abstract:
Pourquoi une goutte d’eau a tendance à prendre la forme d’une sphère ? Pourquoi reste-t-elle accrochée sur sa feuille lors de la rosée du matin ? Pourquoi, au contraire, ruisselle-t-elle jusque sur le sol ? Toutes ces questions en apparence simplistes font appel à des phénomènes microscopiques très complexes dont la nature physique est encore aujourd’hui sujet à débat. Leur compréhension est cependant un enjeu majeur dans de nombreux cas d'application industrielle. C’est notamment le cas en aéronautique où après le passage d’un aéronef au travers d’un nuage ou après une opération de dégivrage, un film mince se forme sur l’aile. L’évolution de la surface mouillée par ce film, comme lors de sa transition en ruisselets sous l’effet du cisaillement de l’air, ainsi que son éventuel regel un peu plus loin en dehors des zones de protection, n’est pas prise en compte dans les outils de simulations des dégivreurs thermiques ; ou alors de manière rudimentaire via des corrélations empiriques. Cependant, cette accrétion de givre se doit d’être contrôlée pour des raisons de sécurité et de performances aérodynamiques. C’est pourquoi, il est nécessaire d’améliorer les outils existant en développant de nouveaux modèles capables de prendre en compte l'influence des forces capillaires à l’échelle macroscopique, notamment au niveau de la ligne triple, pour pouvoir prédire la dynamique d’un film cisaillé.L’objectif général de cette étude est donc le développement d’un modèle adapté à la simulation à grande échelle d’écoulement de film mince partiellement mouillant.Dans cette optique, une approche basée sur un système d'équations de type Saint-Venant a été adoptée. Cependant, ce système sous sa forme classique ne permet pas la simulation de films minces avec effet de mouillage partiel. Une solution pour prendre en compte ces effets est d'ajouter une force macroscopique concentrée à la ligne de contact. Cette force singulière permet ainsi de vérifier localement la loi macroscopique de Young-Dupré. La difficulté de cette approche est alors de localiser la force uniquement à la ligne triple. Contrairement aux modèles rencontrés dans la littérature qui se basent tous sur l’utilisation d’un paramètre ajustable, permettant de faire la distinction entre zone sèche et zone mouillée, nous proposons ici une approche avec transport d’une fonction couleur. Cette fonction, définie comme égale à un dans les zones mouillées et nulle dans les zones sèches, présente l'intérêt d'avoir un gradient identiquement nul, sauf à la ligne triple, permettant de localiser la force de ligne de contact.L'introduction de cette fonction couleur oblige à reformuler en partie le système d'équations de Saint-Venant afin de tenir compte de cette nouvelle fonction dans l'expression des différents termes de forces agissant sur le film. Pour justifier le choix de cette nouvelle formulation, une méthode basée sur une formulation eulérienne du principe de Hamilton a été utilisée. Cette méthode permet d’obtenir une équation de quantité de mouvement compatible avec la conservation de l'énergie du système étudié avec comme unique point de départ une expression de la densité d'énergie du système en fonction des variables utilisées.Ce nouveau système d’équations, en plus d’être complètement affranchi d’un paramètre de calibration, présente l’avantage d’être complètement hyperbolique dans le cas où les effets de courbure ne sont pas pris en compte. Cela a permis le développement d’un solveur de Riemann de type HLLC pour résoudre numériquement ce système d’équations. Afin de tester la robustesse des modèles physiques et numériques, un ensemble de cas de vérification et de validation a été mis en place.Enfin, les termes de courbure ont été pris en compte dans le schéma numérique final permettant d’étendre considérablement le champ d’application de ce nouveau modèle avec fonction couleur. Ainsi des problèmes où les effets capillaires sont prédominants ont pu être simulésWhy does a drop of water tend to form a sphere? Why does it cling to its leaf in the morning dew? On the contrary, why does it flow down towards the ground? All these seemingly simplistic questions involve highly complex microscopic phenomena whose physical nature is still the subject of debate. However, understanding them is a major challenge in many industrial applications. This is particularly true in aeronautics, where a thin film forms on the wings after the aircraft has passed through a cloud or after a defreezing operation. The evolution of the wetted surface by this film, like its transition into rivulets under the effect of air shear, as well as its eventual refreezing a little further outside the protection zones, is not taken into account in thermal defrost simulation tools; or only in a rudimentary way via empirical correlations. However, this ice accretion must be controlled for safety reasons and aerodynamic performance. This is why it is necessary to improve existing tools by developing new models capable of considering the influence of capillary forces on a macroscopic scale, specifically at the contact line level, in order to be able to predict the dynamics of a sheared film.The overall objective of this study is therefore to develop a suitable model for large-scale simulation of partially wetting thin film flow.To answer this objective, an approach based on a Shallow-water equations was adopted. However, this system in its classical form does not allow the simulation of thin films with partial wetting effects. One solution to consider these effects is to add a macroscopic force concentrated to the contact line. This singular force enables the macroscopic Young-Dupré law to be verified locally. The issue with this approach is to localize the force at the contact line only. Unlike other models in the literature, which are all based on the use of an adjustable parameter allowing the distinction between dry and wet zones, we offer here an approach involving the transport of a color function. This function, defined as equal to one in wet zones and zero in dry zones, has the advantage of having an identically zero gradient, except at the contact line, enabling the contact line force to be localized.The introduction of this color function needs a partial reformulation of the Shallow-water equations, in order to integrate this new function in the expression of the various force terms acting on the film. In order to justify the choice of this new formulation, a method based on an eulerian formulation of Hamilton's principle was used. This method helps to obtain a momentum equation compatible with the conservation of energy of the system under study, with the only starting point being an expression of the system's energy density as a function of the variables used.This new system of equations, in addition to being completely calibration parameter free, has the advantage of being entirely hyperbolic in the case where curvature effects are not taken into account. This has helped us to develop an HLLC-type Riemann solver to solve this equation system numerically. In order to test out the robustness of the physical and numerical models, a set of verification and validation cases was set up.Finally, curvature terms were considered in the final numerical scheme, considerably extending the scope of application of this new color function model. In this way, problems where capillary effects are predominant could be simulated
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Kogevnikov, Ivan. "Modélisation des systèmes de dimension infinie - Application à la dynamique des pneumatiques." Phd thesis, Ecole des Ponts ParisTech, 2006. http://pastel.archives-ouvertes.fr/pastel-00001850.
Abstract:
La thèse est consacrée au problème de modélisation d'un type de roue avec pneus comme système mécanique à degré de liberté infini et à son étude par les méthodes de la dynamique analytique. On étudiera en particulier les régimes stationnaires de roulement de la roue sur un plan avec et sans glissement. Le système mécanique comprend une partie déformable et une partie rigide. La partie rigide est la jante (disque) représentée par un corps solide ayant six degrés de liberté. La partie déformable est le pneu, qu'on peut fractionner en trois parties le bandage, par lequel la roue est en contact avec le plan, et deux surfaces latérales joignant le bandage à la jante. Dans l'état non déformé le bandage est une partie de cylindre circulaire, les surfaces latérales sont des parties de surfaces de tores. La structure des pneus modernes est telle que par chaque point du bandage passent trois familles de fils inextensibles et par chaque point des surfaces latérales du pneu passe une famille. Le pneu est rempli par un gaz sous pression, et le gaz est supposé parfait et son évolution isotherme. La force extérieure F et le moment extérieur M sont appliqués à la jante de la roue. La roue roule sur un plan avec lequel elle est en contact par une certaine partie du bandage a priori inconnue. Le roulement peut avoir lieu avec ou sans glissement dans la zone de contact. Dans ce travail on modélise ce système mécanique et on étudie ses mouvements par les méthodes de la mécanique analytique.
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Guinot, François. "Déploiement régulé de structures spatiales : vers un modèle unidimensionnel de mètre ruban composite." Thesis, Aix-Marseille 1, 2011. http://www.theses.fr/2011AIX10019.
Abstract:
Dans un contexte où l'utilisation de structures déployables s'est généralisée, le département Recherche de la société Thales Alenia Space étudie un nouveau concept de télescope spatial dont le miroir secondaire est déployé grâce au déroulement de six mètres rubans. Des études antérieures ont permis la mise au point d'un prototype constitué de rubans métalliques dont le déploiement s'est avéré trop violent. Dans ce travail de thèse nous proposons d'une part un nouveau type de ruban à la vitesse de déroulement maîtrisable et d'autre part un modèle original décrivant le comportement dynamique de tels rubans, permettant de mieux appréhender les phénomènes complexes pouvant intervenir lors de scénarios de pliage, de déploiement ou de déroulement. La solution envisagée pour contrôler la vitesse de déroulement repose sur l'exploitation des propriétés mécaniques d'une couche de matériau viscoélastique collée à la surface du ruban. Ces propriétés variant avec la température permettent de garantir un maintien de la position enroulée à froid et assurent un déroulement régulé grâce à un réchauffage localisé. Ces phénomènes ont été mis en évidence expérimentalement et numériquement. La lourdeur des méthodes classiques de modélisation et le manque de richesse des méthodes simplifiées nous ont conduit à développer un modèle de poutre à section fortement déformable permettant de décrire le comportement dynamique des rubans en grands déplacements. Partant d'un modèle de coque, l'originalité de la méthode repose essentiellement sur l'introduction d'une cinématique de type elastica pour décrire les grandes variations de forme de la section. Un modèle énergétique 1D est obtenu en intégrant dans la section et le problème est résolu à l'aide du logiciel de modélisation par éléments finis COMSOL. On propose finalement un modèle continu 1D à 4 paramètres cinématiques qui permet de rendre compte d'une large gamme de phénomènes intervenant dans des scénarios complexes de pliage, de déroulement et de déploiement dynamiqueThe research department of Thales Alenia Space is studying new concepts of space telescopes whose secondary mirror is deployed thanks to the unreeling of six tape-springs. A breadboard using metallic tape-springs has been built during preliminary studies and has exhibited a deployment that is too energetic and induce too important shocks.In this thesis a new kind of tape-spring with a controlled uncoiling speed is introduced. Secondly a rod model with highly deformable thin-walled cross-sections describing the dynamic behaviour of tape-springs is derived.In order to over come the deployment speed of a tape spring, a viscoelastic layer is stuck on its sides. Thanks to its properties varying with the temperature, the viscoelastic layer is used to maintain the tape-spring in a coiled configuration at low temperature whereas a local heating leads to a controlled uncoiling. These phenomenons have been underlined experimentally and numerically.Because of the high complexity of classical shell models and the lack of details of simplified models, smart modelling methods need to be developed to describe the highly non linear behaviour of a tape-spring. A planar rod model with highly deformable thin-walled cross-sections that accounts for large displacements and large rotations in dynamics is proposed. Starting from a classical shellmodel, the main additional assumption consists in introducing an elastica kinematics to describe thelarge changes of the cross-section shape with very few parameters. The expressions of the strain andkinetic energies are derived by performing an analytical integration over the section. The Hamilton principle is directly introduced in a suitable finite element software to solve the problem. Several examples (folding, coiling and deployment of a tape spring) are studied through the FEM software COMSOL to demonstrate the ability of the 4-parameter model to account for several phenomena: creation of a single fold and associated snap-through behaviour, splitting of a fold into two, motion of a fold along the tape during a dynamic deployment, scenarios of coiling and uncoiling of a bistable tape-spring
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Valcárcel, Flores Carlos Enrique [UNESP]. "Estudo clássico completo do formalismo de Hamilton-Jacobi." Universidade Estadual Paulista (UNESP), 2012. http://hdl.handle.net/11449/102544.
Abstract:
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valcarcelflores_ce_dr_ift.pdf: 694272 bytes, checksum: e1b097c2bc884f3cf2ae38593c38d4ba (MD5)Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
Nesta tese, apresentamos a formulação clássica completa da teoria de Hamilton-Jacobi para sistemas vinculados. Usando o método de Lagrangianas Equivalentes de Carathéodory obtemos um conjunto de Equações Diferenciais Parciais de Hamilton-Jacobi, também chamado de Hamiltonianos. A Condição de Integrabilidade nos permite dividir os Hamiltonianos entre involutivos e não-involutivos. Construímos os Parênteses Generalizados a fim de eliminar os Hamiltonianos não-involutivos, enquanto que relacionamos os Hamiltonianos involutivos com o Gerador das transformações canônicas. Por outro lado, a Equação de Lie é resultado da realização das variações totais no funciona lde ação, e que é relacionada às simetrias da teoria. Usamos a Equação de Lie e a estrutura das Equaçõoes Características, que indicam a evolução dinâmica do sistemas, para associar o Gerador de transformações canônicas às simetrias de calibre. Aplicamos o formalismo de Hamilton-Jacobi ao modelo da Mecânica Quântica Topologica, ao modelo BF bi-dimensional equivalente à Teoria de Jackiw-Teitelboim, ao campo de Yang-Mills Topologicamente Massivo e seu equivalente Auto-dual, assim como para o campo da Gravitação linearizada
It is presented the complete classical formulation of the Hamilton-Jacobi theory for constrained systems. From fixed point variations and using the Carathéodory’s method of Equivalent Lagrangian we obtain a set of Hamilton-Jacobi Partial Differential Equations, also called Hamiltonians. The Integrability Condition allow us to divide the Hamiltonians between involutive and non-involutive ones. We build the Generalized Brackets in order to eliminate the non-involutive Hamiltonians, whereas we relate the involutive Hamiltonians to the Generator of Canonical Transformations. On the other hand, we build the Lie Equation, result of perform total variations to the action functional and which is related to the symmetries of the theory. We use the Lie equation along with the structure of the Characteristic Equations, related to the dynamical evolution of the systems, to associate the Generator of Canonical Transformation to Gaugesymmetries. We apply this formalism to the Topologically Quantum Mechanics, the two dimensional BF model equivalent to the Jackiw-Teitelboim theory, the Topologically Massive Yang-Mills field as well as its correspondent self-dual and to the Linearized Gravity field
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Valcárcel, Flores Carlos Enrique. "Estudo clássico completo do formalismo de Hamilton-Jacobi /." São Paulo, 2012. http://hdl.handle.net/11449/102544.
Abstract:
Orientador: Bruto Max Pimentel EscobarBanca: Abraham Zimerman
Banca: Denis Dalmazi
Banca: Ion Vasile Vancea
Banca: Vladislav Kupriyanov
Resumo: Nesta tese, apresentamos a formulação clássica completa da teoria de Hamilton-Jacobi para sistemas vinculados. Usando o método de Lagrangianas Equivalentes de Carathéodory obtemos um conjunto de Equações Diferenciais Parciais de Hamilton-Jacobi, também chamado de Hamiltonianos. A Condição de Integrabilidade nos permite dividir os Hamiltonianos entre involutivos e não-involutivos. Construímos os Parênteses Generalizados a fim de eliminar os Hamiltonianos não-involutivos, enquanto que relacionamos os Hamiltonianos involutivos com o Gerador das transformações canônicas. Por outro lado, a Equação de Lie é resultado da realização das variações totais no funciona lde ação, e que é relacionada às simetrias da teoria. Usamos a Equação de Lie e a estrutura das Equaçõoes Características, que indicam a evolução dinâmica do sistemas, para associar o Gerador de transformações canônicas às simetrias de calibre. Aplicamos o formalismo de Hamilton-Jacobi ao modelo da Mecânica Quântica Topologica, ao modelo BF bi-dimensional equivalente à Teoria de Jackiw-Teitelboim, ao campo de Yang-Mills Topologicamente Massivo e seu equivalente Auto-dual, assim como para o campo da Gravitação linearizada
Abstract: It is presented the complete classical formulation of the Hamilton-Jacobi theory for constrained systems. From fixed point variations and using the Carathéodory's method of Equivalent Lagrangian we obtain a set of Hamilton-Jacobi Partial Differential Equations, also called Hamiltonians. The Integrability Condition allow us to divide the Hamiltonians between involutive and non-involutive ones. We build the Generalized Brackets in order to eliminate the non-involutive Hamiltonians, whereas we relate the involutive Hamiltonians to the Generator of Canonical Transformations. On the other hand, we build the Lie Equation, result of perform total variations to the action functional and which is related to the symmetries of the theory. We use the Lie equation along with the structure of the Characteristic Equations, related to the dynamical evolution of the systems, to associate the Generator of Canonical Transformation to Gaugesymmetries. We apply this formalism to the Topologically Quantum Mechanics, the two dimensional BF model equivalent to the Jackiw-Teitelboim theory, the Topologically Massive Yang-Mills field as well as its correspondent self-dual and to the Linearized Gravity field
Doutor
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Maia, Natália Tenório [UNESP]. "Estudo sobre a teoria de vínculos de Hamilton-Jacobi." Universidade Estadual Paulista (UNESP), 2013. http://hdl.handle.net/11449/132007.
Abstract:
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A teoria de Hamilton-Jacobi geralmente é apresentada como uma extensão da teoria de Hamilton através das transformações canônicas. No entanto, o matemático Constantin Carathéodory mostrou que essa teoria, sua existência e validade, independem do formalismo hamiltoniano. Neste trabalho, apresentaremos a abordagem de Carathéodory para a teoria de Hamilton-Jacobi. Partindo desse procedimento, construiremos uma teoria de vínculos para que se possa resolver problemas com vínculos involutivos e não-involutivos. Para isso, analisaremos a integrabilidade das equações e introduziremos a operação dos parênteses generalizados que, no lugar do parênteses de Poisson, passará a descrever a dinâmica de sistemas vinculados. Mostraremos uma aplicação dessa teoria de vínculos no modelo BF da teoria de campos. Para finalizar, trataremos da Termodinâmica Axiomática de Carathéodory e também da teoria de Hamilton-Jacobi na Termodinâmica, o que é válido para ilustrar a grande abrangência desse formalismo
The Hamilton-Jacobi theory is usually presented as an extension of the Hamilton's theory through the canonical transformations. However, the mathematician Constantin Carathéodory showed this theory, its existence and validity, is independent of the Hamiltonian formalism. In this work, we present the Caratheodory's approach to the Hamilton-Jacobi theory. From this procedure, we build a theory of constraints which can solve problems with involutive and non-involutive constraints. For this, we analyze the integrability of the equations and introduce the operation of the generalized brackets that, instead of Poisson brackets, will describe the dynamics of constrained systems. We show an application of this theory in BF model of the field theory. Finally, we will discuss the Carathéodory's Axiomatic Thermodynamics and also show the Hamilton-Jacobi theory in Thermodynamics, which is valid to illustrate the wide coverage of this formalism
CNPq: 133488/2011-0
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Maia, N. T. (Natália Tenório). "Estudo sobre a teoria de vínculos de Hamilton-Jacobi /." São Paulo, 2013. http://hdl.handle.net/11449/132007.
Abstract:
Orientador: Bruto Max Pimentel EscobarCo-orientador:
Banca:Andrey Yuryevich Mikhaylov
Banca: Edmundo Capelas de Oliveira
Resumo: A teoria de Hamilton-Jacobi geralmente é apresentada como uma extensão da teoria de Hamilton através das transformações canônicas. No entanto, o matemático Constantin Carathéodory mostrou que essa teoria, sua existência e validade, independem do formalismo hamiltoniano. Neste trabalho, apresentaremos a abordagem de Carathéodory para a teoria de Hamilton-Jacobi. Partindo desse procedimento, construiremos uma teoria de vínculos para que se possa resolver problemas com vínculos involutivos e não-involutivos. Para isso, analisaremos a integrabilidade das equações e introduziremos a operação dos parênteses generalizados que, no lugar do parênteses de Poisson, passará a descrever a dinâmica de sistemas vinculados. Mostraremos uma aplicação dessa teoria de vínculos no modelo BF da teoria de campos. Para finalizar, trataremos da Termodinâmica Axiomática de Carathéodory e também da teoria de Hamilton-Jacobi na Termodinâmica, o que é válido para ilustrar a grande abrangência desse formalismo
Abstract: The Hamilton-Jacobi theory is usually presented as an extension of the Hamilton's theory through the canonical transformations. However, the mathematician Constantin Carathéodory showed this theory, its existence and validity, is independent of the Hamiltonian formalism. In this work, we present the Caratheodory's approach to the Hamilton-Jacobi theory. From this procedure, we build a theory of constraints which can solve problems with involutive and non-involutive constraints. For this, we analyze the integrability of the equations and introduce the operation of the generalized brackets that, instead of Poisson brackets, will describe the dynamics of constrained systems. We show an application of this theory in BF model of the field theory. Finally, we will discuss the Carathéodory's Axiomatic Thermodynamics and also show the Hamilton-Jacobi theory in Thermodynamics, which is valid to illustrate the wide coverage of this formalism
Mestre
Books on the topic "Principe de Hamilton":
1
Bedford, Anthony. Hamilton’s Principle in Continuum Mechanics. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-90306-0.
2
Bedford, A. Hamilton's principle in continuum mechanics. Boston: Pitman Advanced Publishing Program, 1985.
3
Mann, Peter. Canonical & Gauge Transformations. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0018.
Abstract:
In this chapter, the Hamilton–Jacobi formulation is discussed in two parts: from a generating function perspective and as a variational principle. The Poincaré–Cartan 1-form is derived and solutions to the Hamilton–Jacobi equations are discussed. The canonical action is examined in a fashion similar to that used for analysis in previous chapters. The Hamilton–Jacobi equation is then shown to parallel the eikonal equation of wave mechanics. The chapter discusses Hamilton’s principal function, the time-independent Hamilton–Jacobi equation, Hamilton’s characteristic function, the rectification theorem, the Maupertius action principle and the Hamilton–Jacobi variational problem. The chapter also discusses integral surfaces, complete integral hypersurfaces, completely separable solutions, the Arnold–Liouville integrability theorem, general integrals, the Cauchy problem and de Broglie–Bohm mechanics. In addition, an interdisciplinary example of medical imaging is detailed.
4
Bedford, Anthony M. Hamiltons Principle in Continuum Mechanics. Wiley & Sons, Incorporated, John, 1986.
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The Hamilton-Type Principle in Fluid Dynamics. Vienna: Springer-Verlag, 2006. http://dx.doi.org/10.1007/3-211-34324-5.
6
Palacios, Angel Fierros. The Hamilton-Type Principle in Fluid Dynamics. Springer, 2008.
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Coopersmith, Jennifer. Hamiltonian Mechanics. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198743040.003.0007.
Abstract:
Hamilton’s genius was to understand what were the true variables of mechanics (the “p − q,” conjugate coordinates, or canonical variables), and this led to Hamilton’s Mechanics which could obtain qualitative answers to a wider ranger of problems than Lagrangian Mechanics. It is explained how Hamilton’s canonical equations arise, why the Hamiltonian is the “central conception of all modern theory” (quote of Schrödinger’s), what the “p − q” variables are, and what phase space is. It is also explained how the famous conservation theorems arise (for energy, linear momentum, and angular momentum), and the connection with symmetry. The Hamilton-Jacobi Equation is derived using infinitesimal canonical transformations (ICTs), and predicts wavefronts of “common action” spreading out in (configuration) space. An analogy can be made with geometrical optics and Huygen’s Principle for the spreading out of light waves. It is shown how Hamilton’s Mechanics can lead into quantum mechanics.
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Wright, Robert E. Hamilton Unbound. Greenwood Publishing Group, Inc., 2002. http://dx.doi.org/10.5040/9798400661044.
Abstract:
Modern financial theories enable us to look at old problems in early American Republic historiography from new perspectives. Concepts such as information asymmetry, portfolio choice, and principal-agent dilemmas open up new scholarly vistas. Transcending the ongoing debates over the prevalence of either community or capitalism in early America, Wright offers fresh and compelling arguments that illuminate motivations for individual and collective actions, and brings agency back into the historical equation. Wright argues that the Colonial rebellion was in part sparked by destabilizing British monetary policy that threatened many with financial insolvency; that in areas without modern financial institutions and practices, dueling was a rational means of protecting one's creditworthiness; that the principle-agent problem led to the institutionalization of the U.S. Constitution's system of checks and balances; and that a lack of information and education induced women to shift from active business owners to passive investors. Economists, historians, and political scientists alike will be interested in this strikingly novel and compelling recasting of our nation's formative decades.
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Bedford, Anthony. Hamilton's Principle in Continuum Mechanics. Springer International Publishing AG, 2021.
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Mann, Peter. Hamilton’s Principle in Phase Space. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0015.
Abstract:
This chapter derives Hamilton’s equations using the Legendre transform and the definition of the Hamiltonian function. While, in the Newtonian formalism, conservation laws were rather difficult to tease out, the Lagrangian formalism revolutionised the way of looking at them; however, the Hamiltonian formalism is perhaps even simpler than the Lagrangian formalism, making it straightforward to identify conservation laws and the symmetries of the system associated with each conserved property. In this chapter, the Hamiltonian is treated as being explicitly dependent on time, as this form is more general and will lead to an important relation that, although not an equation of motion, is still useful to discuss. The chapter also introduces Routhian mechanics as a symplectic reduction technique, using integrals of the motion.
Book chapters on the topic "Principe de Hamilton":
1
Galeş, Cătălin. "Hamilton–Kirchhoff Principle." In Encyclopedia of Thermal Stresses, 2109–14. Dordrecht: Springer Netherlands, 2014. http://dx.doi.org/10.1007/978-94-007-2739-7_250.
2
Gignoux, Claude, and Bernard Silvestre-Brac. "Hamilton’s Principle." In Solved Problems in Lagrangian and Hamiltonian Mechanics, 111–64. Dordrecht: Springer Netherlands, 2009. http://dx.doi.org/10.1007/978-90-481-2393-3_3.
3
Cooper, Richard K., and Claudio Pellegrini. "Hamilton’s Principle." In Modern Analytic Mechanics, 33–47. Boston, MA: Springer US, 1999. http://dx.doi.org/10.1007/978-1-4757-5867-2_2.
4
Smeyers, Paul. "The Variational Principle of Hamilton." In Linear Isentropic Oscillations of Stars, 133–58. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-13030-4_9.
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Basdevant, Jean-Louis. "Action, Optics, Hamilton-Jacobi Equation." In Variational Principles in Physics, 87–103. Cham: Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-21692-3_5.
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Basdevant, Jean-Louis. "Hamilton’s Canonical Formalism." In Variational Principles in Physics, 63–86. Cham: Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-21692-3_4.
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Benacquista, Matthew J., and Joseph D. Romano. "Hamilton’s Principle and Action Integrals." In Classical Mechanics, 73–110. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-68780-3_3.
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Ghosh, Amitabha. "Action Concept and Hamilton’s Principle." In Introduction to Analytical Mechanics, 71–84. Singapore: Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-97-2484-0_4.
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Di Cosmo, Fabio, and Marco Laudato. "Hamilton Principle in Piola’s work published in 1825." In Advanced Structured Materials, 933–49. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-70692-4_7.
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Böhme, Thomas J., and Benjamin Frank. "The Minimum Principle and Hamilton–Jacobi–Bellman Equation." In Advances in Industrial Control, 117–63. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-51317-1_4.
Conference papers on the topic "Principe de Hamilton":
1
Yoshimura, Hiroaki, François Gay-Balmaz, Jiachun Li, and Song Fu. "Hamilton-Pontryagin Principle for Incompressible Ideal Fluids." In RECENT PROGRESSES IN FLUID DYNAMICS RESEARCH: Proceeding of the Sixth International Conference on Fluid Mechanics. AIP, 2011. http://dx.doi.org/10.1063/1.3652002.
2
Kamiya, Keisuke, Junya Morita, Yutaka Mizoguchi, and Tatsuya Matsunaga. "Unified Approach for Holonomic and Nonholonomic Systems Based on the Modified Hamilton’s Principle." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-87780.
Abstract:
As basic principles for deriving the equations of motion for dynamical systems, there are d’Alembert’s principle and the principle of virtual power. From the former Hamilton’s principle and Langage’s equations are derived, which are powerful tool for deriving the equation of motion of mechanical systems since they can give the equations of motion from the scalar energy quantities. When Hamilton’s principle is applied to nonholonomic systems, however, care has to be taken. In this paper, a unified approach for holonomic and nonholonomic systems is discussed based on the modified Hamilton’s principle. In the present approach, constraints for both of the holonomic and nonholonomic systems are expressed in terms of time derivative of the position, and their variations are treated similarly to the principle of virtual power, i.e. time and position are fixed in operation with respect to the variations. The approach is applied to a holonomic and a simple nonholonomic systems.
3
Liu Zong-min and Feng Shao-chu. "Hamilton-type quasi-variational principle of buried pipelines dynamics." In 2011 International Conference on Electric Technology and Civil Engineering (ICETCE). IEEE, 2011. http://dx.doi.org/10.1109/icetce.2011.5774381.
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Lezhnyuk, P., and V. Netrebskiy. "Selfoptimization of electric systems modes as Hamilton principle manifestation." In 2014 IEEE International Conference on Intelligent Energy and Power Systems (IEPS). IEEE, 2014. http://dx.doi.org/10.1109/ieps.2014.6874184.
5
Liu, Zongmin, Lifu Liang, and Tao Fan. "Quasi-Variational Principles of Large Elastic Deformation in Non-Conservative Systems Based on Base Forces Theory and its Application." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-68468.
Abstract:
Based on base forces theory framework, the basic equations of time boundary value problem of large elastic deformation in non-conservative systems are defined. According to the corresponding relations between generalized forces and generalized displacements, the basic equations of elasto-dynamics are multiplied by corresponding virtual quantities, integrated and then added algebraically. Considering that both body forces and surface forces are fellow forces, the generalized Hamilton-type quasi-variational principles with three kinds of variables of large elastic deformation based on base forces theory in non-conservative systems are established. Then they are degenerated. Applying the Hamilton-type quasi-potential energy principle, analytic solutions of large deformation cantilever beam problem in non-conservative systems is obtained. Finally, some correlative problems are discussed.
6
Zhang, Tingting, and Jianying Yang. "Nonlinear dynamics of sloshing in tank based on Hamilton principle." In 2017 36th Chinese Control Conference (CCC). IEEE, 2017. http://dx.doi.org/10.23919/chicc.2017.8027405.
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Benaroya, Haym, and Timothy Wei. "Extended Hamilton’s Principle for Fluid-Structure Interaction." In ASME 2003 International Mechanical Engineering Congress and Exposition. ASMEDC, 2003. http://dx.doi.org/10.1115/imece2003-55419.
Abstract:
The problem of vortex-shedding from bluff bodies has been examined for over a century, as reflected by the extensive literature on the subject. The focus of these foregoing researches can be split into two broad categories: investigations into the flow characteristics around a body in a flow, and studies of the response of a bluff body to the forces from the flow.
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Cusumano, Joseph P., and Qiang Li. "Coupled Field Damage Dynamics via Hamilton’s Principle." In ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/detc2010-29078.
Abstract:
We present a new coupled-field model for the dynamics of systems with evolving damage. The continuum model is developed using Hamilton’s Principle together with Griffith energy arguments, and captures the interaction between a meso-scale damage field variable and macroscopic vibrational displacements. The method of averaging is used to show that the nonautonomous coupled-field model gives the autonomous Paris’ Law as a special case.
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Lewis, H. R., and P. J. Kostelec. "Time-advance algorithms based on Hamilton's principle." In International Conference on Plasma Sciences (ICOPS). IEEE, 1993. http://dx.doi.org/10.1109/plasma.1993.593473.
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Baleanu, Dumitru, Sami I. Muslih, and Eqab M. Rabei. "On Fractional Hamilton Formulation Within Caputo Derivatives." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-34812.
Abstract:
The fractional Lagrangian and Hamiltonian dynamics is an important issue in fractional calculus area. The classical dynamics can be reformulated in terms of fractional derivatives. The fractional variational principles produce fractional Euler-Lagrange equations and fractional Hamiltonian equations. The fractional dynamics strongly depends of the fractional integration by parts as well as the non-locality of the fractional derivatives. In this paper we present the fractional Hamilton formulation based on Caputo fractional derivatives. One example is treated in details to show the characteristics of the fractional dynamics.
Reports on the topic "Principe de Hamilton":
1
Pedder, A. E. H. Lochkovian [early devonian] rugose corals from Prince of Wales and Baillie Hamilton islands, Canadian Arctic Archipelago. Natural Resources Canada/ESS/Scientific and Technical Publishing Services, 1985. http://dx.doi.org/10.4095/120256.