Screw Theory for Robotics

Screw theory is the algebra and calculus of pairs of vectors, such as forces and moments and angular and linear velocity that arise in the kinematics and dynamics of rigid bodies. The motion of a particle mass is easy to describe because its configuration can be associated to a point of the three-dimensional Euclidean space. After having chosen coordinates, each point can be associated to a triple of real numbers in R3 but the most important thing is that the algebraic and topological properties of R3 correspond to real physical properties of the motion of the particle forces can be added velocity vectors too magnitudes of vectors correspond to magnitudes of forces and velocities orthogonally of a force and velocity vector gives zero power the velocity and acceleration.

  • Coordinate transformation of screws
  • Algebra of screws
  • Screws by reflection

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