Kinematics

Unlock the core principles of kinematics and its pivotal role in robotics science with “Kinematics,” a comprehensive guide for students, professionals, and enthusiasts alike. This book bridges the gap between fundamental physics concepts and their applications in robotics, providing a clear and structured approach to understanding the motions and forces that govern both mechanical and robotic systems. Whether you are an undergraduate student, a graduate researcher, or a hobbyist, this book offers invaluable insights into the dynamic field of robotics.

Chapters Brief Overview:

1: Kinematics: An introduction to motion, including velocity, acceleration, and displacement.

2: Angular momentum: Explores rotational motion and its relevance in robotic systems.

3: Centripetal force: Describes forces acting on rotating bodies, crucial for understanding robot movement.

4: Spherical coordinate system: Essential for modeling and analyzing threedimensional robotic motion.

5: Navier–Stokes equations: Discusses fluid dynamics with applications in robotics requiring fluid interaction.

6: Equations of motion: Fundamental equations that describe robotic motion and control systems.

7: Angular velocity: A detailed examination of rotational velocity in robotic systems and machines.

8: Moment of inertia: Explains the resistance of robotic components to rotational acceleration.

9: Laplace operator: A mathematical tool for analyzing forces in robotic systems and mechanics.

10: Circular motion: Focuses on the dynamics of circular paths in robotic trajectories.

11: Fictitious force: Introduces forces observed in rotating reference frames, key for understanding robotic motion.

12: Rotating reference frame: Discusses noninertial reference frames in robotics applications and analysis.

13: Rigid rotor: Explores motion of rigid bodies under rotational constraints, relevant to robotics.

14: Screw theory: A methodology for analyzing the motion and force transmission in robotic joints and links.

15: Thomas precession: Examines the change in angular velocity due to external forces, crucial for robotics.

16: Rotation around a fixed axis: A study of rotational dynamics around fixed points in robotic motion.

17: Perifocal coordinate system: Introduces coordinate systems for tracking robotic movement in space.

18: Rotation formalisms in three dimensions: Provides a detailed analysis of rotational motion in 3D robotic systems.

19: Vector spherical harmonics: A tool for solving complex robotic movement equations.

20: Mechanics of planar particle motion: Focuses on planar motion mechanics applied to robotic navigation.

21: Symmetry in quantum mechanics: Connects symmetry principles with quantum robotic systems.

This book is more than just theory—it's a practical resource to help you understand how fundamental physical principles shape the design, control, and movement of robots. Whether you are designing your own robotic systems, studying advanced topics, or simply fascinated by how machines move and interact, “Kinematics” will provide you with the knowledge to succeed in the evolving field of robotics science.