Introduction To Lagrangian Dynamics (eBook)

Aron Wolf Pila (Autor)

eBook Download: PDF

2019
255 Seiten
Springer International Publishing (Verlag)
978-3-030-22378-6 (ISBN)

Infos

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.

Produkt-Details

• Erscheint lt. Verlag: 2.8.2019
• Zusatzinfo: XX, 255 p. 64 illus. in color.
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Statistik
• Themenwelt: Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie
• Themenwelt: Technik ► Bauwesen
• Themenwelt: Technik ► Maschinenbau
• Schlagworte: classical mechanics • Constrained Systems • d’Alembert-Lagrangian Dynamics • D’Alembert’s Principle • Direction Cosines and Euler angles • Extended Hamilton’s Principle • Generalized coordinates • Lagrange multipliers • Ordinary differential equations • quasi-coordinates • quasi-velocity • Virtual Work
• ISBN-10: 3-030-22378-7 / 3030223787
• ISBN-13: 978-3-030-22378-6 / 9783030223786