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Classical and Analytical Mechanics. Theory, Applied Examples, and Practice

  • Book

  • April 2021
  • Elsevier Science and Technology
  • ID: 5204043

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.

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Table of Contents

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

Authors

Alexander S. Poznyak Professor and Department Head of Automatic Control, CINESTAV of IPN, Mexico. Alexander Poznyak is Professor and Department Head of Automatic Control at CINESTAV of IPN in Mexico. He graduated from Moscow Physical Technical Institute in 1970, and earned Ph.D. and Doctoral Degrees from the Institute of Control Sciences of Russian Academy of Sciences in 1978 and 1989, respectively. He has directed 43 Ph.D. theses, and published more than 260 papers and 14 books.