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Introduction To Lagrangian Dynamics. 2020 ed.
・ISBN 978-3-030-22377-9 hard EUR 84.99
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| 著者・編者 | Pila, Aron Wolf, |
|---|---|
| 出版社 | (Springer Nature Switzerland AG, SZ) |
| 出版年月 | 2019 |
| ページ数 | 255 pp. |
| 言語 | ENG |
| ニュース番号 | ＜A02-92222＞ |
解説
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.