Introduction To Lagrangian Dynamics

1. Auflage 2020
ISBN: 978-3-030-22377-9
Verlag: Springer International Publishing

Buch, Englisch, 255 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 632 g

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.

Zielgruppe

Professional/practitioner

Autoren/Hrsg.

Pila, Aron Wolf

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Statik, Dynamik, Kinetik, Kinematik
• Technische Wissenschaften Technik Allgemein Konstruktionslehre und -technik
• Naturwissenschaften Physik Mechanik
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Maschinenbau Konstruktionslehre, Bauelemente, CAD

Inhaltsverzeichnis

Introduction.- Lagrangian Dynamics – Preliminaries.- Lagrangian Dynamics.- Quasi-Coordinates, and Quasi-Velocities.- Conclusions.

Über Autor(innen)

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 H8 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”.