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.
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 To Lagrangian Dynamics
Introduction To Lagrangian Dynamics
Product Details
| ISBN-13: | 9783030223786 |
|---|---|
| Publisher: | Springer-Verlag New York, LLC |
| Publication date: | 08/02/2019 |
| Sold by: | Barnes & Noble |
| Format: | eBook |
| File size: | 37 MB |
| Note: | This product may take a few minutes to download. |