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Error motion of a kinematic spindle
Authors:King-Fu Hii  R Ryan Vallance  Robert D Grejda  Eric R Marsh
Affiliation:a Precision Systems Laboratory, University of Kentucky, 015 Ralph G. Anderson Building, Lexington, KY 40506, USA;b Precision Systems Laboratory, The George Washington University, 738 Academic Center, 801 22nd St., NW, Washington, DC 20052, USA;c Machine Dynamics Research Laboratory, The Pennsylvania State University, 21 Reber Building, University Park, PA 16802, USA
Abstract:A prototype spindle for low-force, low-speed applications that is kinematically constrained in accordance with the principles of exact constraint was designed, fabricated, and tested. In the prototype spindle, the position and orientation of the shaft (rotor) are constrained at five contact points; four constraints are arranged radially around the rotor, and one constraint is located at the end of the rotor. This paper describes the design of the prototype spindle and presents a study of its error motion for the hardened steel rotor sliding on brass and UHMW-PE bonded to ceramic. The error motion is observed to be highly repeatable with less than 100 nm asynchronous errors, and a simple analytical model enables the prediction of the synchronous error motion using measurements of the rotor’s roundness profiles.
Keywords:Author Keywords: Spindle  Kinematic constraint  Exact constraint  Axis of rotation  Error motion
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