Generalized cutting loads decomposition model of five-axis serial machine tools based on the screw theory

There are large volume of existing literatures focused on cutting force modeling, but so far only few research has been reported on cutting loads decomposition model to calculate cutting loads components acted on five axes of the machine, which, however, directly affect five-axis tracking accuracy. To this end, a generalized cutting loads decomposition model of five-axis serial machine tools is proposed, which provides a mathematical basis to evaluate the cutting loads components. A cutting loads decomposition model is first developed based on kinematics and virtual work analysis, then a generalized cutting loads decomposition model is established by differentiating the forward kinematics model based on the screw theory. Kinematic factors that affect the cutting load components on translational and rotary axes are also analyzed, which provides a guidance to optimize the workpiece setup location to reduce the cutting loads components acted on rotary axes. Experiments and simulations on a table-tilting five-axis machine tool verify the effectiveness of the proposed model.

[1]  Min Wan,et al.  A solid trimming method to extract cutter–workpiece engagement maps for multi-axis milling , 2013 .

[2]  L. N. López de Lacalle,et al.  The Denavit and Hartenberg approach applied to evaluate the consequences in the tool tip position of geometrical errors in five-axis milling centres , 2008 .

[3]  Jixiang Yang,et al.  A position independent geometric errors identification and correction method for five-axis serial machines based on screw theory , 2015 .

[4]  Jixiang Yang,et al.  A generalized on-line estimation and control of five-axis contouring errors of CNC machine tools , 2015 .

[5]  Sridhar Kota,et al.  Screw theory based metrology for design and error compensation of machine tools , 2001 .

[6]  Weihong Zhang,et al.  A unified instantaneous cutting force model for flat end mills with variable geometries , 2014 .

[7]  Yusuf Altintas,et al.  Mechanics and Dynamics of Multifunctional Tools , 2015 .

[8]  Richard M. Murray,et al.  A Mathematical Introduction to Robotic Manipulation , 1994 .

[9]  T. Moriwaki,et al.  Multi-functional machine tool , 2008 .

[10]  Min Wan,et al.  Study on the construction mechanism of stability lobes in milling process with multiple modes , 2015 .

[11]  Tian Huang,et al.  A general approach for error modeling of machine tools , 2014 .

[12]  Jixiang Yang,et al.  A new position independent geometric errors identification model of five-axis serial machine tools based on differential motion matrices , 2016 .

[13]  M. Spong,et al.  Robot Modeling and Control , 2005 .

[14]  Masaomi Tsutsumi,et al.  Identification of angular and positional deviations inherent to 5-axis machining centers with a tilting-rotary table by simultaneous four-axis control movements , 2004 .

[15]  Min Wan,et al.  Study of static and dynamic ploughing mechanisms by establishing generalized model with static milling forces , 2016 .

[16]  Knut Sørby,et al.  Inverse kinematics of five-axis machines near singular configurations , 2007 .

[17]  Y. Altintas,et al.  Generalized kinematics of five-axis serial machines with non-singular tool path generation , 2013 .

[18]  Qiang Guo,et al.  Numerical simulation and prediction of cutting forces in five-axis milling processes with cutter run-out , 2011 .

[19]  Tao Huang,et al.  Decoupled chip thickness calculation model for cutting force prediction in five-axis ball-end milling , 2013 .

[20]  D. Chetwynd,et al.  Generalized Jacobian analysis of lower mobility manipulators , 2011 .

[21]  Ismail Lazoglu,et al.  A postprocessor for table-tilting type five-axis machine tool based on generalized kinematics with variable feedrate implementation , 2013 .

[22]  Ismail Lazoglu,et al.  Five-axis milling mechanics for complex free form surfaces , 2011 .

[23]  Jeffrey G. Hemmett,et al.  Modeling of cutting geometry and forces for 5-axis sculptured surface machining , 2003, Comput. Aided Des..

[24]  Erdem Ozturk,et al.  Investigation of lead and tilt angle effects in 5-axis ball-end milling processes , 2009 .

[25]  Yusuf Altintas,et al.  Sliding Mode Controller Design for High Speed Feed Drives , 2000 .

[26]  Hsi-Yung Feng,et al.  Prediction of cutting forces in three- and five-axis ball-end milling with tool indentation effect , 2013 .

[27]  Zichen Chen,et al.  Product of exponential model for geometric error integration of multi-axis machine tools , 2014 .

[28]  Yusuf Altintas,et al.  Manufacturing Automation: Metal Cutting Mechanics, Machine Tool Vibrations, and CNC Design , 2000 .