Introduction To Lagrangian Dynamics 1st edition by Aron 3030223787 9783030223786

Introduction To Lagrangian Dynamics 1st edition by Aron Wolf Pila – Ebook Instant Download/Delivery ISBN(s): 3030223787, 9783030223786

Product details:

• ISBN 10: 3030223787
• ISBN 13: 9783030223786
• Author: Aron

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.

Table of contents:

1. Introduction

2. Lagrangian Dynamics: Preliminaries

3. Lagrangian Dynamics

4. Quasi-Coordinates and Quasi-Velocities

5. Conclusions

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