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Analytical dynamics / Mark D. Ardema

Public ISBD Titre : Analytical dynamics : theory and applications Type de document : texte imprimé Auteurs : Mark D. Ardema, Auteur Editeur : Boston : Kluwer academic publishers Année de publication : 2005 Importance : 340 p. Format : 27cm. ISBN/ISSN/EAN : 978-0-306-48681-4 Langues : Anglais (eng) Mots-clés : Engineering Engineering  general Vibration--  Dynamical  Systems--  Control Engineering Vibration Engineering Engineering  general Vibration  Dynamical  Systems--Control Index. décimale : 531.3 Dynamique. Cinétique Résumé : This book takes a traditional approach to the development of the methods of analytical dynamics. After a review of Newtonian dynamics, the basic concepts of analytical dynamics - classification of constraints, classification of forces, virtual displacements, virtual work and variational principles - are introduced and developed. Next, Langrange's equations are derived and their integration is discussed. The Hamiltonian portion of the book covers Hamilton's canonical equations, contact transformations, and Hamilton-Jacobi theory. Also included are chapters on stability of motion, impulsive forces, and the Gibbs-Appell equation. Two types of examples are used throughout the book. The first type is intended to illustrate key results of the theoretical development, and these are deliberately kept as simple as possible. The other type is included to show the application of the theoretical results to complex, real-life problems. These examples are often quite lengthy, comprising an entire chapter in some cases. Note de contenu : Sommaire: Review of Newtonian Dynamics. Motion and Constraints. Virtual Displacement and Virtual Work. Variational Principles. Generalized Coordinates. Lagrange’s Equations. Formulation of Equations. Integration of Equations. Examples. Central Force Motion. Gyroscopic Motion. Stability Of Motion. Impulsive Motion. Gibbs-Appell Equations. Hamilton’s Equations. Contact Transformations. Hamilton-Jacobi Equation. Approximation Methods Analytical dynamics : theory and applications [texte imprimé] / Mark D. Ardema, Auteur . - Boston : Kluwer academic publishers, 2005 . - 340 p. ; 27cm. ISBN : 978-0-306-48681-4 Langues : Anglais (eng) Mots-clés : Engineering Engineering  general Vibration--  Dynamical  Systems--  Control Engineering Vibration Engineering Engineering  general Vibration  Dynamical  Systems--Control Index. décimale : 531.3 Dynamique. Cinétique Résumé : This book takes a traditional approach to the development of the methods of analytical dynamics. After a review of Newtonian dynamics, the basic concepts of analytical dynamics - classification of constraints, classification of forces, virtual displacements, virtual work and variational principles - are introduced and developed. Next, Langrange's equations are derived and their integration is discussed. The Hamiltonian portion of the book covers Hamilton's canonical equations, contact transformations, and Hamilton-Jacobi theory. Also included are chapters on stability of motion, impulsive forces, and the Gibbs-Appell equation. Two types of examples are used throughout the book. The first type is intended to illustrate key results of the theoretical development, and these are deliberately kept as simple as possible. The other type is included to show the application of the theoretical results to complex, real-life problems. These examples are often quite lengthy, comprising an entire chapter in some cases. Note de contenu : Sommaire: Review of Newtonian Dynamics. Motion and Constraints. Virtual Displacement and Virtual Work. Variational Principles. Generalized Coordinates. Lagrange’s Equations. Formulation of Equations. Integration of Equations. Examples. Central Force Motion. Gyroscopic Motion. Stability Of Motion. Impulsive Motion. Gibbs-Appell Equations. Hamilton’s Equations. Contact Transformations. Hamilton-Jacobi Equation. Approximation Methods

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Code-barres	Cote	Support	Localisation	Section	Disponibilité	Etat_Exemplaire
048787	531.3 ARD	Papier	Bibliothèque Centrale	Physique	Disponible