A hybrid method for dynamic stiffness identification of bearing joint of high speed spindles

Bearing joint dynamic parameter identification is crucial in modeling the high speed spindles for machining centers used to predict the stability and natural frequencies of high speed spindles. In this paper, a hybrid method is proposed to identify the dynamic stiffness of bearing joint for the high speed spindles. The hybrid method refers to the analytical approach and experimental method. The support stiffness of spindle shaft can be obtained by adopting receptance coupling substructure analysis method, which consists of series connected bearing and joint stiffness. The bearing stiffness is calculated based on the Hertz contact theory. According to the proposed series stiffness equation, the stiffness of bearing joint can be separated from the composite stiffness. Then, one can obtain the bearing joint stiffness fitting formulas and its variation law under different preload. An experimental set-up with variable preload spindle is developed and the experiment is provided for the validation of presented bearing joint stiffness identification method. The results show that the bearing joint significantly cuts down the support stiffness of the spindles, which can seriously affects the dynamic characteristic of the high speed spindles.

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

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

[4]  Michael Hanss,et al.  Identification of a bolted-joint model with fuzzy parameters loaded normal to the contact interface , 2002 .

[5]  Yusuf Altintas,et al.  Virtual Design and Optimization of Machine Tool Spindles , 2005 .

[6]  L. Houpert,et al.  A uniform analytical approach for ball and roller bearings calculations , 1997 .

[7]  John E. Mottershead,et al.  Identification of nonlinear bolted lap-joint parameters by force-state mapping , 2007 .

[8]  G. Hagiu,et al.  Dynamic characteristics of high speed angular contact ball bearings , 1997 .

[9]  Rajendra Singh,et al.  Effect of bearing preloads on the modal characteristics of a shaft-bearing assembly: Experiments on double row angular contact ball bearings , 2012 .

[10]  Sun-Min Kim,et al.  Effect of bearing support structure on the high-speed spindle bearing compliance , 2002 .

[11]  Robert G. Parker,et al.  Stiffness matrix calculation of rolling element bearings using a finite element/contact mechanics model , 2012 .

[12]  Jenq-Shyong Chen,et al.  Bearing load analysis and control of a motorized high speed spindle , 2005 .

[13]  Rajendra Singh,et al.  Vibration transmission through rolling element bearings, part I: Bearing stiffness formulation , 1990 .

[14]  Simon S. Park,et al.  FRF based joint dynamics modeling and identification , 2013 .

[15]  Hamid Ahmadian,et al.  Tool point dynamics prediction by a three-component model utilizing distributed joint interfaces , 2010 .

[16]  Miha Boltežar,et al.  The influence of the coordinate reduction on the identification of the joint dynamic properties , 2009 .

[17]  Shuyun Jiang,et al.  Investigation of variable optimum preload for a machine tool spindle , 2010 .

[18]  J. M. de Mul,et al.  Equilibrium and Associated Load Distribution in Ball and Roller Bearings Loaded in Five Degrees of Freedom While Neglecting Friction—Part I: General Theory and Application to Ball Bearings , 1989 .

[19]  Chorng-Shyan Lin,et al.  Joint stiffness identification using FRF measurements , 2003 .

[20]  Bo Wu,et al.  Identification of dynamic stiffness matrix of bearing joint region , 2009 .

[21]  M. Sartor,et al.  Calculation of the Stiffness Matrix of Angular Contact Ball Bearings by Using the Analytical Approach , 2000 .

[22]  Jun Wu,et al.  Stiffness influential factors-based dynamic modeling and its parameter identification method of fixed joints in machine tools , 2010 .

[23]  Yusuf Altintas,et al.  Modeling of spindle-bearing and machine tool systems for virtual simulation of milling operations , 2007 .

[24]  Hongqi Li,et al.  Analysis of bearing configuration effects on high speed spindles using an integrated dynamic thermo-mechanical spindle model , 2004 .

[25]  Yusuf Altintas,et al.  A General Method for the Modeling of Spindle-Bearing Systems , 2004 .