Classical and Analytical Mechanics

Theory, Applied Examples, and Practice

Alexander S. Poznyak

• Publisher: Elsevier
• Year: 2021
• Print ISBN: 9780323898164
• eBook ISBN: 9780323898898
• Topic: Technology & Engineering
• Subtopic: Mechanical Engineering
• Index: Technology & Engineering

Classical and Analytical Mechanics: Theory, Applied Examples, and Practice provides a bridge between the theory and practice related to mechanical, electrical, and electromechanical systems. It includes rigorous mathematical and physical explanations while maintaining an interdisciplinary engineering focus. Applied problems and exercises in mechanical, mechatronic, aerospace, electrical, and control engineering are included throughout and the book provides detailed techniques for designing models of different robotic, electrical, defense, and aerospace systems. The book starts with multiple chapters covering kinematics before moving onto coverage of dynamics and non-inertial and variable mass systems. Euler's dynamic equations and dynamic Lagrange equations are covered next with subsequent chapters discussing topics such as equilibrium and stability, oscillation analysis, linear systems, Hamiltonian formalism, and the Hamilton-Jacobi equation. The book concludes with a chapter outlining various electromechanical models that readers can implement and adapt themselves. - Bridges theory and practice by providing readers techniques for solving common problems through mechanical, electrical, and electromechanical models alongside the underlying theoretical foundations - Describes variable mass, non-inertial systems, dynamic Euler's equations, gyroscopes, and other related topics - Includes a broad offering of practical examples, problems, and exercises across an array of engineering disciplines

Table of contents

• Classical and Analytical Mechanics
• Cover
• Title Page
• Copyright
• Table of Contents
• Dedication
• List of figures
• List of tables
• About the author
• Preface
• Notation
• Introduction
• 1 Kinematics of a point
• 2 Rigid body kinematics
• 3 Dynamics
• 4 Non-inertial and variable-mass systems
• 5 Euler's dynamic equations
• 6 Dynamic Lagrange equations
• 7 Equilibrium and stability
• 8 Oscillations analysis
• 9 Linear systems of second order
• 10 Hamiltonian formalism
• 11 The Hamilton–Jacobi equation
• 12 Collection of electromechanical models
• Bibliography
• Index