Introduction To Lagrangian Dynamics, 1st ed. 2020
Auteur : 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.
Introduction.- Lagrangian Dynamics – Preliminaries.- Lagrangian Dynamics.- Quasi-Coordinates, and Quasi-Velocities.- Conclusions.
Aron Wolf Pila is a retired electrical engineer most recently associated with the Israel Military Industries, Central Laboratory Division, Computational Mechanics and Simulation Group with over thirty one years of experience in simulations , modelling and control of mechanical and aerospace systems. A graduate with distinction of Concordia University in Montreal, Aron was awarded a National Research Council of Canada Scholarship for Academic Excellence and completed a Masters of Engineering degree at Concordia, specializing in Control System Design. He has written over twenty conference and journal publications chiefly in the area of H∞ control system design. He has also edited three books viz.: “Quantitative Feedback Design of Linear and Nonlinear Control Systems”, “Advances in Missile Guidance Theory” and “Optimal Control Theory with Aerospace Applications”.
Date de parution : 08-2020
Ouvrage de 255 p.
15.5x23.5 cm
Disponible chez l'éditeur (délai d'approvisionnement : 15 jours).
Prix indicatif 63,29 €
Ajouter au panierDate de parution : 08-2019
Ouvrage de 255 p.
15.5x23.5 cm
Thème d’Introduction To Lagrangian Dynamics :
Mots-clés :
d’Alembert-Lagrangian Dynamics; Lagrange Multipliers; Extended Hamilton’s Principle; D’alembert’s Principle; Direction Cosines and Euler angles; Generalized coordinates; virtual work; quasi-velocity; quasi-coordinates; Constrained Systems; Classical Mechanics; ordinary differential equations