Experimental and simulation study on the thermal characteristics of the high-speed spindle system

High-speed spindles often suffer from degeneration in its machining accuracy caused by the uneven distribution of temperature field. In order to improve the machining accuracy of high-speed spindles, a three-dimensional (3D) finite element analysis (FEA) model, which considered the combined effect of thermal contact resistance (TCR) and the change in heat power and stiffness caused by thermal displacements of bearing components on the accuracy of simulation results, was proposed to conduct transient thermal-structure analysis of high-speed spindles. The predictive model for TCR was proposed based on the fractal theory to characterize the rough surface morphology with disorder, self-affinity and non-stationary random features. And a contact mechanics model was developed to consider the influence of asperities’ deformation on TCR. The thermal-structure model of bearing was proposed to calculate the heat power and stiffness based on the quasi-static mechanics analysis. The FEA model proposed in this paper was used to simulate the temperature field distribution and thermal deformations of the high-speed spindle system. Then thermal characteristic experiments were conducted to validate the effectiveness of this model. The results showed that the FEA model was much more accurate than the traditional model which ignored the above two important factors. The temperature field and thermal errors of the spindle system were analyzed.

[1]  B. Mikic,et al.  THERMAL CONTACT CONDUCTANCE; THEORETICAL CONSIDERATIONS , 1974 .

[2]  A. B. Jones.  A General Theory for Elastically Constrained Ball and Radial Roller Bearings Under Arbitrary Load and Speed Conditions , 1960 .

[3]  Sun-Min Kim,et al.  Prediction of thermo-elastic behavior in a spindle–bearing system considering bearing surroundings , 2001 .

[4]  Boming Yu,et al.  Permeability of Fractal Porous Media by Monte Carlo Simulations , 2005 .

[5]  J. Barbera,et al.  Contact mechanics , 1999 .

[6]  Y. Altintas,et al.  Thermo-mechanical model of spindles , 2010 .

[7]  T. A. Harris,et al.  Rolling Bearing Analysis , 1967 .

[8]  Mohammad R. Movahhedy,et al.  THERMO-MECHANICAL MODELING OF HIGH SPEED SPINDLES , 2012 .

[9]  Jay F. Tu,et al.  A thermal model for high speed motorized spindles , 1999 .

[10]  J. Greenwood,et al.  Contact of nominally flat surfaces , 1966, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[11]  Kyriakos Komvopoulos,et al.  Head-disk interface contact mechanics for ultrahigh density magnetic recording , 2000 .

[12]  E. Marschall,et al.  A comparison of elastic and plastic contact models for the prediction of thermal contact conductance , 1993 .

[13]  B. Bhushan,et al.  Fractal Model of Elastic-Plastic Contact Between Rough Surfaces , 1991 .

[14]  C. L. Tien,et al.  Fractal Network Model for Contact Conductance , 1991 .

[15]  C. Sparrow.  The Fractal Geometry of Nature , 1984 .

[16]  Hongqi Li,et al.  Integrated Dynamic Thermo-Mechanical Modeling of High Speed Spindles, Part 2: Solution Procedure and Validations , 2004 .

[17]  B. Bhushan,et al.  Role of Fractal Geometry in Roughness Characterization and Contact Mechanics of Surfaces , 1990 .

[18]  Nadir Patir,et al.  A numerical procedure for random generation of rough surfaces , 1978 .

[19]  P. Kolar,et al.  PREDICTION OF MACHINE TOOL SPINDLE'S DYNAMICS BASED ON A THERMO-MECHANICAL MODEL , 2010 .

[20]  Jin Kyung Choi,et al.  Thermal characteristics of the spindle bearing system with a gear located on the bearing span , 1998 .

[21]  Gunnar Kylander,et al.  Thermal Modelling of Small Cage Induction Motors , 1995 .

[22]  S. J. Lacey,et al.  Dynamic and static characteristics of a wide speed range machine tool spindle , 1983 .

[23]  James B. Bryan,et al.  International Status of Thermal Error Research (1990) , 1990 .

[24]  M. Michael Yovanovich,et al.  Thermal Contact Correlations , 1981 .

[25]  Yang Jianguo,et al.  Simulation of thermal behavior of a CNC machine tool spindle , 2007 .

[26]  Dusan Krajcinovic,et al.  Fractal models of elastic-perfectly plastic contact of rough surfaces based on the Cantor set , 1995 .

[27]  Jay F. Tu,et al.  A power flow model for high speed motorized spindles : Heat generation characterization , 2001 .

[28]  Chia-Jung Hsu.  Numerical Heat Transfer and Fluid Flow , 1981 .

[29]  M. Cooper,et al.  Thermal contact conductance , 1969 .

[30]  Theodore Baumeister,et al.  Marks' Standard Handbook For Mechanical Engineers (Standard Handbook for Mechanical Engineers) , 2006 .

[31]  A. Majumdar,et al.  Fractal characterization and simulation of rough surfaces , 1990 .

[32]  Chi-Wei Lin,et al.  An integrated thermo-mechanical-dynamic model to characterize motorized machine tool spindles during very high speed rotation , 2003 .

[33]  Hongqi Li,et al.  Integrated Dynamic Thermo-Mechanical Modeling of High Speed Spindles, Part 1: Model Development , 2004 .

[34]  Kai Willner,et al.  Elasto-Plastic Normal Contact of Three-Dimensional Fractal Surfaces Using Halfspace Theory , 2004 .

[35]  Bharat Bhushan,et al.  Elastic-plastic contact model for bifractal surfaces , 1992 .

[36]  A. Abdel-azim.  Fundamentals of Heat and Mass Transfer , 2011 .

[37]  Jen Fin Lin,et al.  A New Method Developed for Fractal Dimension and Topothesy Varying With the Mean Separation of Two Contact Surfaces , 2006 .

[38]  K. Komvopoulos,et al.  Contact analysis of elastic-plastic fractal surfaces , 1998 .

[39]  Andrew Honegger,et al.  Analysis of thermal errors in a high-speed micro-milling spindle , 2010 .