Introduction to Lagrangian dynamics
著者
書誌事項
Introduction to Lagrangian dynamics
Springer, c2020
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注記
Includes bibliographical references (p. 249-251) and index
内容説明・目次
内容説明
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.
目次
Introduction.- Lagrangian Dynamics - Preliminaries.- Lagrangian Dynamics.- Quasi-Coordinates, and Quasi-Velocities.- Conclusions.
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