Mechanisms: Kinematic Analysis and Applications in Robotics

Theory of mechanisms is an applied science of mechanics that studies the relationship between geometry, mobility, topology, and relative motion between rigid bodies connected by geometric forms. Recently, knowledge in kinematics and mechanisms has considerably increased, causing a renovation in the methods of kinematic analysis. With the progress of the algebras of kinematics and the mathematical methods used in the optimal solution of polynomial equations, it has become possible to formulate and elegantly solve problems. Mechanisms: Kinematic Analysis and Applications in Robotics provides an updated approach to kinematic analysis methods and a review of the mobility criteria most used in planar and spatial mechanisms. Applications in the kinematic analysis of robot manipulators complement the material presented in the book, growing in importance when one recognizes that kinematics is a basic area in the control and modeling of robot manipulators. Presents an organized review of general mathematical methods and classical concepts of the theory of mechanisms Introduces methods approaching time derivatives of arbitrary vectors employing general approaches based on the vector angular velocity concept introduced by Kane and Levinson Proposes a strategic approach not only in acceleration analysis but also to jerk analysis in an easy to understand and systematic way Explains kinematic analysis of serial and parallel manipulators by means of the theory of screws INDICE: I INTRODUCTION 1. Preamble II MATHEMATICAL BACKGROUND 2. Polynomials 3. Time Derivatives of Vectors 4. Generalities of Mechanisms 5. Mobility Analysis of Mechanisms III DISPLACEMENT 6. Closed Kinematic Chains 7. Open Kinematic Chains IV VELOCITY 8. Angular Velocity 9. Vectorial Method 10. Graphic Method 11. Analytical Method V ACCELERATION 12. Angular Acceleration 13. Vectorial Method 14. Analytical Method VI ROBOTICS 15. The Lie Algebra SE(3) of the Euclidean Group SE(3) 16. Screw Theory Fundamentals 17. Robot Manipulators

• ISBN: 978-0-323-95348-1
• Editorial: Academic Press
• Encuadernacion: Rústica
• Páginas: 500
• Fecha Publicación: 01/08/2022
• Nº Volúmenes: 1
• Idioma: Inglés