- 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
Buy this book
- About this book
-
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.
- About the authors
-
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”.
- Table of contents (5 chapters)
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Introduction
Pages 1-12
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Lagrangian Dynamics: Preliminaries
Pages 13-61
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Lagrangian Dynamics
Pages 63-162
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Quasi-Coordinates and Quasi-Velocities
Pages 163-245
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Conclusions
Pages 247-248
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Table of contents (5 chapters)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- Introduction To Lagrangian Dynamics
- Authors
-
- Aron Wolf Pila
- Copyright
- 2020
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer Nature Switzerland AG
- eBook ISBN
- 978-3-030-22378-6
- DOI
- 10.1007/978-3-030-22378-6
- Hardcover ISBN
- 978-3-030-22377-9
- Edition Number
- 1
- Number of Pages
- XX, 255
- Number of Illustrations
- 64 illustrations in colour
- Topics