The effect of axis coupling on machine tool dynamics determined by tool deviation

Abstract High acceleration forces of machine tool with kinetic coupling as the dominating coupling forces may deform the machine structure and result in the tool deviation. In this paper, a dynamic model of a three-axis gantry milling machine tool considering axis coupling effects is proposed to model the varying dynamic behavior and evaluate the Tool Center Point (TCP) position deviations. The effect of axis coupling force on the stiffness changes of kinematic joints is analyzed. The variations of the frequencies and frequency response functions with respect to position parameters are calculated. And the TCP deviation affected by axial coupling in real-time motion state is discussed in detail. The results show that it is able to obtain an excellent match between the simulations and the measurements. The simulation and experimental results show that: (1) the natural frequencies and the receptance are greatly changed when the TCP is moving along the X-axis or the Z-axis, where the maximum changing of natural frequencies is up to 10% and response magnitude up to 2 times; (2) the elastic deformation and vibration of machine tool are caused by the coupling forces in acceleration and braking, which detrimentally affect dynamic response of the TCP. Thus, the model proposed in this paper represents the important effects for comprehension of machine dynamic behavior and for further compensation in future.

[1]  Jan Swevers,et al.  Computer-aided integrated design for machines with varying dynamics , 2009 .

[2]  Jan Swevers,et al.  Gain-scheduling control of machine tools with varying structural flexibility , 2004 .

[3]  Berend Denkena,et al.  Mechatronic Systems for Machine Tools , 2007 .

[4]  Oliver Zirn,et al.  Machine tool analysis , 2008 .

[5]  T. Shimogo.  Vibration Damping , 1994, Active and Passive Vibration Damping.

[7]  Wim Symens.  Motion and vibration control of mechatronic systems with variable configuration and local non-linear friction , 2004 .

[8]  Sascha Weikert,et al.  Compensation strategies for axis coupling effects , 2012 .

[9]  Xun Xu,et al.  Review: Virtual machine tools and virtual machining-A technological review , 2011 .

[10]  Alexander Verl,et al.  Correlation between feed velocity and preloading in ball screw drives , 2010 .

[11]  O. Zirn,et al.  Dynamic Coupling Force Compensation for Direct-Driven Machine Tools , 2007, 2007 IEEE Industry Applications Annual Meeting.

[12]  A. Galip Ulsoy,et al.  Effect of a Nonlinear Joint on the Dynamic Performance of a Machine Tool , 2007 .

[13]  Naoki Uchiyama,et al.  Discrete-time robust adaptive multi-axis control for feed drive systems , 2009 .

[14]  Daisuke Kono,et al.  Evaluation of modelling approaches for machine tool design , 2010 .

[15]  Pascal Maglie,et al.  Parallelization of design and simulation: virtual machine tools in real product development , 2012 .

[16]  Reimund Neugebauer,et al.  Implementation of control elements in FEM calculations of machine tools , 2011 .

[17]  Yusuf Altintas,et al.  Rapid evaluation and optimization of machine tools with position-dependent stability , 2013 .

[18]  Victor Songmene,et al.  Estimation of machine-tool dynamic parameters during machining operation through operational modal analysis , 2009 .

[19]  Erhan Budak,et al.  Analytical modeling of spindle-tool dynamics on machine tools using Timoshenko beam model and receptance coupling for the prediction of tool point FRF , 2006 .

[20]  A. Galip Ulsoy,et al.  Experimental Identification of the Nonlinear Parameters of an Industrial Translational Guide for Machine Performance Evaluation , 2008 .

[21]  秦毅,et al.  Wegener肉芽肿一例 , 2009 .

[22]  Ching-Yuan Lin,et al.  Modeling the machining stability of a vertical milling machine under the influence of the preloaded linear guide , 2011 .

[23]  Christian Brecher,et al.  Virtual machine tool , 2005 .

[24]  X. Kestelyn,et al.  Physical dynamic modelling and systematic control structure design of a double linear drive moving gantry stage industrial robot , 2007, 2007 European Conference on Power Electronics and Applications.

[25]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[26]  Eugene I. Rivin,et al.  Stiffness and Damping in Mechanical Design , 1999 .

[27]  Yusuf Altintas,et al.  Position-dependent dynamics and stability of serial-parallel kinematic machines , 2013 .

[28]  Jui-Pin Hung,et al.  Load effect on the vibration characteristics of a stage with rolling guides , 2009 .

[29]  Liang Mi,et al.  Effects of preloads on joints on dynamic stiffness of a whole machine tool structure , 2012 .