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Introduction To Lagrangian Dynamics

  • Aron Wolf Pila
Book
  • 2.6k Downloads

Table of contents

  1. Front Matter
    Pages i-xx
  2. Aron Wolf Pila
    Pages 1-12
  3. Aron Wolf Pila
    Pages 13-61
  4. Aron Wolf Pila
    Pages 63-162
  5. Aron Wolf Pila
    Pages 163-245
  6. Aron Wolf Pila
    Pages 247-248
  7. Back Matter
    Pages 249-255

About this book

Introduction

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.

Keywords

d’Alembert-Lagrangian Dynamics Lagrange Multipliers Extended Hamilton’s Principle D’alembert’s Principle Direction Cosines and Euler angles Generalized coordinates virtual work quasi-velocity quasi-coordinates Constrained Systems Classical Mechanics

Authors and affiliations

  • Aron Wolf Pila
    • 1
  1. 1.Kfar SabaIsrael

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