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Introduction to Lagrangian dynamics

Pila, Aron Wolf.

Introduction to Lagrangian dynamics

Record Type:	Electronic resources : Monograph/item
Title/Author:	Introduction to Lagrangian dynamicsby Aron Wolf Pila.
Author:	Pila, Aron Wolf.
Published:	Cham :Springer International Publishing :2020.
Description:	xx, 255 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Lagrange equations.
Online resource:	https://doi.org/10.1007/978-3-030-22378-6
ISBN:	9783030223786$q(electronic bk.)

Introduction to Lagrangian dynamics
Pila, Aron Wolf.

Introduction to Lagrangian dynamics[electronic resource] /by Aron Wolf Pila. - Cham :Springer International Publishing :2020. - xx, 255 p. :ill., digital ;24 cm.

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.

ISBN: 9783030223786$q(electronic bk.)

Standard No.: 10.1007/978-3-030-22378-6doiSubjects--Topical Terms:

226585
Lagrange equations.

LC Class. No.: QA871

Dewey Class. No.: 515.35

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505 0 $a Introduction -- Lagrangian Dynamics - Preliminaries -- Lagrangian Dynamics -- Quasi-Coordinates, and Quasi-Velocities -- Conclusions.
520 $a 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.
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