Systematic geometric error modeling for workspace volumetric calibration of a 5-axis turbine blade grinding machine

Chinese Journal of Aeronautics

Volumn 23, Issue 5, 2010, Pages 604-615

  Khan, Abdul Wahid ^a   Wuyi, Chen ^a  

^a BEIHANG UNIVERSITY   (China)

Author keywords

5 axis machine tools; calibration; geometric errors; homogenous transformation matrices; kinematics; modeling

Indexed keywords

5-AXIS MACHINE TOOL; ACCEPTANCE TESTING; ERROR QUANTIFICATION; ERROR SYNTHESIS; GEOMETRIC ERRORS; GEOMETRIC MODELS; GRINDING PROCESS; HIGH EFFICIENCY GRINDING; MODELING; PERFORMANCE ASSESSMENT; RIGID BODY; RIGID BODY KINEMATICS; TRANSFORMATION MATRICES; TURBINE BLADE; VOLUMETRIC CALIBRATION; WORK PIECES;

CALIBRATION; CONTOUR MEASUREMENT; CUTTING TOOLS; ERRORS; GEOMETRY; GRINDING (MACHINING); GRINDING MACHINES; KINEMATICS; LINEAR TRANSFORMATIONS; MACHINE DESIGN; MACHINE TOOLS; MACHINERY; MATHEMATICAL TRANSFORMATIONS; METAL WORKING TOOLS; RIGID STRUCTURES; SYSTEMATIC ERRORS; TURBINES;

TURBOMACHINE BLADES;

EID: 78049339352     PISSN: 10009361     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1000-9361(09)60261-2     Document Type: Article

References (99)

1. The Cox report: Chapter 10 manufacturing process Washington Post, May 25, 1999.
2. Y Takeuchi, T Watanabe Generation of 5-axis control collision-free tool path and post processing for NC data CIRP Annals - Manufacturing Technology 41 1 1992 539 542
3. Trankle H. Effects of position errors in five-axis milling processes. PhD thesis, Stuttgart University, Federal Republic of Germany, 1980.
4. EE Sprow Step up to five-axis programming Manufacturing Engineering 111 5 1993 55 60
5. YC Shin, H Chin, MJ Brink Characterization of CNC machining centers Journal of Manufacturing Systems 10 5 1991 407 421
6. JS Chen, CC Ling Improving the machine accuracy through machine tool metrology and error correction The International Journal of Advanced Manufacturing Technology 11 3 1996 198 205
7. AW Khan, W Chen Calibration of CNC milling machine by direct method Proceedings of 2008 International Conference on Optical Instruments and Technology: Optoelectronic Measurement Technology and Applications 7610 2008 1 10
8. Hocken R. Technology of machine tools, Vol. 5: machine tool accuracy. Report of the machine tool Task Force, UCRL-52960-5, 1980.
9. Tlusty J. Testing of accuracy of machine tools. Report No. UCRL-52960-Supp. 1, 1980.
10. G Zhang, R Veale, T Charlton Error compensation of coordinate measuring machines CIRP Annals - Manufacturing Technology 34 1 1985 445 448
11. R Hocken, JA Simpson, B Borchardt Three dimensional metrology CIRP Annals - Manufacturing Technology 26 2 1977 403 408
12. A Donmez, DS Blomquist, RJ Hocken A general methodology for machine tool accuracy enhancement by error compensation Precision Engineering 8 4 1986 187 196
13. G Zhang, R Ouyang, B Lu A displacement method for machine geometry calibration CIRP Annals - Manufacturing Technology 37 1 1988 515 518
14. J Bryan A simple method for testing measuring machines and machine tools Precision Engineering 4 2 1982 61 69
15. W Knap Circular test for three-coordinate measuring machines and machine tools Precision Engineering 5 3 1983 115 124
16. F Jouy Theoratical modelisation and experimental identification of the geometrical parameters of coordinate-machines by measuring a multi-directed bar CIRP Annals - Manufacturing Technology 35 1 1986 393 396
17. H Kunzman, F Wäldele, E Saljé On testing coordinate measuring machines (CMM) with Kinematic reference standards CIRP Annals - Manufacturing Technology 32 1 1983 465 468
18. Weckenmann A. Criteria for the construction of mechanical volumetric standards to control the accuracy of coordinate measuring machines. Proceedings of X IMEKO Conference. 1985.
19. R Schultschik The components of volumetric accuracy CIRP Annals - Manufacturing Technology 25 1 1977 223 228
20. Love W J, Scarr A J. The determination of the volumetric accuracy of multi-axis machines. Proceedings of 14th MTDR Conference. 1973; 307-315.
21. ISO 230-1: 1996 Test code for machine tools. Part 1: geometric accuracy of machines operating under no-load or finishing conditions. ISO Geneva.
22. ISO 230-2: 2006(E) Test code for machine tools. Part 2: determination of accuracy and repeatability of positioning of numerically controlled axes. ISO, Geneva.
23. ISO 230-4: 2005 Test code for machine tools. Part 4: circular tests for numerically controlled machine tools. ISO, Geneva.
24. ISO 230-6: 2002 Test code for machine tools. Part 6: determination of positioning accuracy on body and face diagonals (diagonal displacement tests). ISO, Geneva.
25. ISO 230-7: 2006(E) Test code for machine tools. Part 7: geometric accuracy of axes of rotation. ISO, Geneva.
26. American Society of Mechanical Engineering, 1992. ASME B5.54. Methods for Performance Evaluation of Computer Numerically Controlled Machining Center.
27. ISO 10791-1: 1998 Test conditions for machining centers. Part 1: geometric tests for machines with horizontal spindle and with accessory heads (horizontal Z-axis). ISO, Geneva.
28. ISO 10791-2: 2001 Test conditions for machining centers. Part 2: geometric tests for machines with vertical spindle or universal heads with vertical primary rotary axis (vertical Z-axis). ISO, Geneva.
29. ISO 10791-3: 1998 Test conditions for machining centers. Part 3: geometric tests for machines with integral indexable or continuous universal heads (vertical Z-axis). ISO, Geneva.
30. ISO 10791-4: 1998 Test conditions for machining centers. Part 4: accuracy and repeatability of positioning of linear and rotary axes. ISO, Geneva.
31. ISO 10791-6: 2001(E) Test conditions for machining centers-accuracy and feeds, speeds and interpolations. ISO, Geneva.
32. ISO 10791-8: 2001 Test conditions for machining centers. Part 8: evaluation of contouring performance in the three coordinate planes. ISO, Geneva.
33. J Denavit, RS Hartenberg A kinematic notation for lower pair mechanisms based on matrices Journal of Applied Mechanics 22 2 1955 215 221
34. RP Paul Robot manipulators: mathematics, programming and control 1981 MIT Press Cambridge, MA
35. DL Leete Automatic compensation of alignment errors in machine tool International Journal of Machine Tool Design and Research 1 4 1961 293 324
36. French D, Humphries S H. Compensation for backlash and alignment errors in a numerically controlled machine tool by a digital computer program. Proceedings of the 8th International MTDR Conference. 1967; 167-172.
37. R Schultschik The accuracy of machine tools under load conditions CIRP Annals - Manufacturing Technology 27 1 1979 223 228
38. Dufour P, Groppetti R. Computer aided accuracy improvement in large NC machine-tools. Proceedings of the 21st International MTDR Conference. 1981; 611-618.
39. VT Portman A universal method for calculating the accuracy of mechanical devices Soviet Engineering Research 1 7 1982 11 15
40. WK Veitschnegger, CH Wu Robot accuracy analysis based on kinematics. IEEE Journal of Robotics and Automation 2 3 1986 171 179
41. KF Eman, BT Wu, MF de Vries A generalised geometric error model for multi-axis machines CIRP Annals - Manufacturing Technology 36 1 1987 253 256
42. Donmez A. A general methodology for machine tool accuracy enhancement: theory application and implementation. Ph.D. thesis, Purdue University, 1985.
43. Donmez M A, Lee K, Liu C, et al. A real-time error compensation system for a computerized control turning center. Proceedings of International Conference on Robotics and Automation. 1986; 172-176.
44. PM Ferreira, CR Liu An analytical quadratic model for geometric error of a machine center Journal of Manufacturing Systems 5 1 1986 51 63
45. PM Ferreira, CR Liu A contribution to analysis and compensation of the geometric error of a machining center CIRP Annals - Manufacturing Technology 35 1 1986 259 262
46. Han Z J, Zhou K. Improvement of positioning accuracy of rotating table by microcomputer control compensation. Proceedings of the 26th International MTDR Conference. 1986; 115-120.
47. Sata T, Takeuchi Y, Okubo N. Improvement of working of a machining center by computer control compensation. Proceedings of the 27th International MTDR Conference. 1987; 93-99.
48. M Anjanappa, DK Anand, JA Kirk Error correction methodologies and control strategies for numerical control machining control methods for manufacturing processes Control Methods for Manufacturing Process 7 1988 41 49
49. AK Elshennaway, I Ham Performance improvement in coordinate measuring machine by error compensation Journal of Manufacturing Systems 9 2 1990 151 158
50. J Jedrzejewski, J Kaczmarek, Z Kowal Numerical optimization of thermal behavior of machine tools CIRP Annals - Manufacturing Technology 39 1 1990 379 382
51. KF Ehmann Solution principles for a new generation of precision self-correcting multi-axis machines Robotics and Computer-Integrated Manufacturing 7 3-4 1990 357 364
52. K Kim, MK Kim Volumetric accuracy analysis based on generalized geometric error model in multi-axis machine tools Mechanism and Machine Theory 26 2 1991 207 219
53. JA Soons, FC Theeuws, PH Schellekens Modeling the errors of multi-axis machines: a general methodology Precision Engineering 14 1 1992 5 19
54. JS Chen, JX Yuan, J Ni Compensation of non-rigid body kinematic effect on a machining center Transactions of NAMRI/SME 20 1992 325 329
55. J Ni, SM Wu An on-line measurement technique for machine volumetric error compensation Journal of Engineering for Industry 115 1993 85 92
56. PD Lin, KF Ehmann Direct volumetric error evaluation for multi-axis machines International Journal of Machine Tools and Manufacture 33 5 1993 675 693
57. VSB Kiridena, PM Ferreira Mapping the effects of positioning errors on the volumetric accuracy of five-axis CNC machine tools International Journal of Machine Tools and Manufacture 33 3 1993 417 437
58. VSB Kiridena, PM Ferreira Kinematic modeling of quasistatic errors of three-axis machining centers International Journal of Machine Tools and Manufacture 34 1 1994 85 100
59. PM Ferreira, CR Liu Method for estimating and compensating quasistatic errors of machine tools Journal of Engineering for Industry 15 1 1993 149 159
60. J Mou Using neural network and kinematics for machine tool error estimation and correction Transactions of NAMRI/SME 22 1994 241 246
61. CH Lo, LJ Yuan, J Ni Error link metrology and flexible error synthesis model for correcting quasi-static machine errors Transactions of NAMRI/SME 22 1994 267 273
62. S Wang, K Ehmann Compensation of geometric and quasi-static deformation errors of a multi-axis machine Transactions of NAMRI/SME 22 1994 283 289
63. S Wang, K Ehmann Automated evaluation of volumetric errors of multi-axis machines Transactions of NAMRI/SME 22 1994 291 296
64. VSB Kiridena, PM Ferreira Parameter estimation and model verification of 1st order quasistatic error model for three-axis machining centers International Journal of Machine Tools and Manufacture 34 1 1994 101 125
65. JH Cho, MW Cho, K Kim Volumetric error analysis of a multi-axis machine tool machining a sculptured surface workpiece International Journal of Production Research 32 2 1994 345 363
66. VB Kreng, CR Liu, CN Chu A kinematic model for machine tool accuracy characterization International Journal of Advanced Manufacturing Technology 9 1994 79 86
67. A Srivastava, S Veldhuis, MA Elbestawi Modeling geometric and thermal errors in a five-axis CNC machine tool International Journal of Machine Tools and Manufacture 35 9 1995 1321 1337
68. Yang S H. Real-time compensation for geometric, thermal, and cutting force induced errors in machining tools. PhD thesis, University of Michigan, 1996.
69. SH Yang, J Yuan, J Ni Accuracy enhancement of a horizontal machining center by real-time error compensation Journal of Manufacturing Systems 15 2 1996 113 124
70. RMD Mahbubur, J Heikkala, K Lappalainen Positioning accuracy improvement in five-axis milling by post processing International Journal of Machine Tools and Manufacture 37 2 1997 223 236
71. XB Chen, A Geddam, ZJ Yuan Accuracy improvement of three-axis CNC machining centers by quasi-static error compensation Journal of Manufacturing Systems 16 5 1997 323 336
72. ∞ parameter estimates for volumetric error in models of machine tools Precis Engineering 20 3 1997 179 187
73. AJ Patel, KF Ehmann Volumetric error analysis of a Stewart platform based machine tool CIRP Annals - Manufacturing Technology 46 1 1997 287 290
74. SH Suh, JJ Lee Five-axis part machining with three-axis CNC machine and indexing table Journal of Manufacturing Science and Engineering 120 1 1998 120 128
75. KG Ahn, DW Cho Proposition for a volumetric error model considering backlash in machine tools International Journal of Advanced Manufacturing Technology 15 8 1999 554 561
76. AC Okafor, YM Ertekin Derivation of machine tool error models and error compensation procedure for three axes vertical machining center using rigid body kinematic International Journal of Machine Tools and Manufacture 40 8 2000 1199 1213
77. GHJ Florussen, FLM Delbressine, MJG van de Molengraft Assessing geometrical errors of multi-axis machines by three-dimensional length measurement Measurement 30 4 2001 241 255
78. RW Bagshaw, ST Newman Manufacturing data analysis of machine tool errors within a contemporary small manufacturing enterprise International Journal of Machine Tools and Manufacture 42 9 2002 1065 1080
79. Y Abbaszadeh-Mir, JRR Mayer, G Cloutier Theory and simulation for the identification of the link geometric errors for a five-axis machine tool using a telescoping magnetic ball-bar International Journal of Production Research 40 18 2002 4781 4797
80. Y Lin, Y Shen Modeling of five-axis machine tool metrology models using the matrix summation approach International Journal of Advanced Manufacturing Technology 21 4 2003 243 248
81. BK Jha, A Kumar Analysis of geometric errors associated with five-axis machining centre in improving the quality of Cam profile International Journal of Machine Tools and Manufacture 43 6 2003 629 636
82. M Tsutsumi, A Saito Identification and compensation of systematic deviations particular to 5-axis machining centers International Journal of Machine Tools and Manufacture 43 8 2003 771 780
83. YM Cheng, JH Chin Machining contour errors as ensembles of cutting, feeding and machine structure effects International Journal of Machine Tools and Manufacture 43 10 2003 1001 1014
84. JW Fan, JL Guan, WC Wang A universal modeling method for enhancement the volumetric accuracy of CNC machine tools Journal of Materials Processing Technology 129 1-3 2002 624 628
85. ELJ Bohez Compensating for systematic errors in 5-axis NC machining Computer-Aided Design 34 5 2002 391 403
86. ELJ Bohez, B Ariyajunya, C Sinlapeecheewa Systematic geometric rigid body error identification of 5-axis milling machines Computer-Aided Design 39 4 2007 229 244
87. VT Portman Error summation in the analytical calculation of lathe accuracy, machines and tooling Machines and Tooling 50 1 1980 7 10
88. AH Slocum Precision machine design 1992 Society of Manufacturing Engineers Dearborn, Michigan
89. P Anderson Methodology for evaluating the production accuracy of the machine tools 1992 Tampere Technical University PhD thesis
90. Hocken R. Technology of machine tools, Vol.5: machine tool accuracy D381108, 1980.
91. W Knapp, E Matthias Test of the three-dimensional uncertainty of machine tools and measuring machines and its relation to the machine errors CIRP Annals - Manufacturing Technology 32 1 1983 459 464
92. JA Soons Accuracy analysis of multi-axis machines 1993 Eindhoven University of Technology PhD thesis
93. HAM Spann Software error compensation of machine tools 1995 Eindhhoven University of Technology PhD thesis
94. WG Weekers Compensation for dynamic errors of coordinate measuring machines 1996 Eindhoven University of Technology PhD thesis
95. CM Daniel, WW Olson, WJ Sutherland Modeling the effects of component level geometric and form deviations on machine tool slide way errors Transactions of NAMRI/SME 26 1998 347 352
96. ELJ Bohez Five-axis milling machine tool kinematic chain design and analysis International Journal of Machine Tools and Manufacture 42 4 2002 505 520
97. Machine axis identification standard EIA-267-B Axis and motion nomenclature for numerically controlled machines. 2001.
98. ISO 841: 2001 Industrial automation systems and integration-numerical control of machines-coordinate system and motion nomenclature. ISO, Geneva.
99. H Goldenstein Classical mechanics 2nd ed. 1980 Addison-Wesley Publishing Company Menlo Park, CA