02757nam a22004095i 4500 978-0-306-48682-1 DE-He213 20260521091816.0 cr nn 008mamaa 100301s2005 xxu| s |||| 0|eng d 9780306486821 99780306486821 10.1007/b116020 doi CICY 620 23 Ardema, Mark D. author. Analytical Dynamics [recurso electrónico] : Theory and Applications / by Mark D. Ardema. Boston, MA : Springer US, 2005. XVI, 340 p. online resource. text txt rdacontent computer c rdamedia recurso en línea cr rdacarrier text file PDF rda 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. 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. ENGINEERING. VIBRATION. ENGINEERING. ENGINEERING, GENERAL. VIBRATION, DYNAMICAL SYSTEMS, CONTROL. SpringerLink (Online service) Springer eBooks Printed edition: 9780306486814 http://dx.doi.org/10.1007/b116020 Ver el texto completo en las instalaciones del CICY ddc ER 31835 31835 0 0 ddc 0 0 LE CICY CICY EL 2025-07-10 0 620 2025-07-10 08:39:22 2025-07-10 ER