Introduction To Lagrangian Dynamics

Pila, Aron Wolf

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.

Details

Published by: Springer

Publication Date: 2020-08-16

Format: Paperback

ISBN-13: 9783030223809

DOI: 10.1007/978-3-030-22378-6

Dimensions: 235cm x155cm

Pages: 255