Deterministic metrology of parallel kinematic machines

The deterministic metrology (DM) establishes links between accuracy parameters of the machine units and a functional accuracy of the machine itself. An interrelationship between the quasi-static errors of the PKM and deviations of the points of the nominal surface from the actual machined surface is considered. PKM-related mathematical models of the DM (the matrix of the Euler angles, the inverse kinematics, tho Jacobian for a current platform position, etc.) are formulated. The Gaussian coordinates of a current point of the machined surface are used to set up the correspondence between the models and to map the error distribution over the PKM working space. The DM approach for the PKM is modeled for milling operations and ball-bar test.