Simulating Variable Quasistatic Stiffness of Machine Tool Spindle Unit

Authors: Frolov A.V., Smirnov S.V.  Published: 07.12.2018
Published in issue: #6(123)/2018  

DOI: 10.18698/0236-3941-2018-6-44-59

Category: Mechanical Engineering and Machine Science | Chapter: Machine Science  
Keywords: spindle unit, precision, bearing, variable stiffness, stiffness computations

Precision of a machine tool directly depends on the rotation precision of the spindle unit, which, in turn, is determined by the stiffness of the bearings that support it. The bearing is a complex mechanical device, the stiffness of which is not constant either radially or axially and depends on multiple factors, such as purely geometrical considerations, operating conditions, initial mechanical and thermal loads. Variable stiffness computation involves developing an adequate model that accounts for existing loads and conditions. The paper presents a method for computing variable stiffness of angular contact ball bearings, since they are the most widely used type in spindle units. The variable stiffness model takes into account the distribution of external loads between bearing balls via a function describing the variation of the contact angle between balls and bearing races. It ensures adequate accuracy for the majority of spindle unit stiffness problems. We validated our model by comparing our simulation results to experimental data and the results derived from models published previously. This variable bearing stiffness model is used for fast computations in both research and development. It was tested by computing displacements of a spindle nose in an experimental spindle unit


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