02902oam 2200421 450 991036658530332120230906111737.03-030-22378-710.1007/978-3-030-22378-6(OCoLC)1396161658(MiFhGG)GVRL571V(EXLCZ)99410000000887826320230829h20202020 uy 0engurun|---uuuuatxtrdacontentcrdamediacrrdacarrierIntroduction to Lagrangian dynamics /Aron Wolf Pila1st ed. 2020.Cham, Switzerland :Springer,[2020]©20201 online resource (xix, 255 pages) color illustrationsGale eBooks3-030-22377-9 Includes bibliographical references and index.Introduction -- Lagrangian Dynamics – Preliminaries -- Lagrangian Dynamics -- Quasi-Coordinates, and Quasi-Velocities -- Conclusions.This volume provides a short summary of the essentials of Lagrangian dynamics for practicing engineers and students of physics and engineering. It examines a range of phenomena and techniques in a style that is compact and succinct, while remaining comprehensive. The book provides a review of classical mechanics and coverage of critical topics including holonomic and non-holonomic systems, virtual work, the principle of d’Alembert for dynamical systems, the mathematics of conservative forces, the extended Hamilton’s principle, Lagrange’s equations and Lagrangian dynamics, a systematic procedure for generalized forces, quasi-coordinates, and quasi-velocities, Lagrangian dynamics with quasi-coordinates, Professor Ranjan Vepa’s approach and the Hamiltonian formulation. Adopting a step-by-step approach with examples throughout the book, this ready reference completely develops all of the relevant equations and is ideal for practicing mechanical, aeronautical, and civil engineers, physicists, and graduate/upper-level undergraduate students. Explains in detail the development of the theory behind Lagrangian dynamics in a practical fashion; Discusses virtual work, generalized forces, conservative forces, constraints, Extended Hamilton’s Principle and the Hamiltonian formulation; Presents two different approaches to the quasi-velocity method for non-holonomic constraints; Reinforces concepts presented with illustrative examples; Includes comprehensive coverage of the important topics of classical mechanics.Lagrange equationsLagrange equations.515.352Pila Aron Wolfauthttp://id.loc.gov/vocabulary/relators/aut1062680MiFhGGMiFhGGBOOK9910366585303321Introduction To Lagrangian Dynamics2527591UNINA