Determination of stiffness and damping sensitivity for computer numerically controlled machine tool drives

• Author
• Author

1 Erkorkmaz, K. and Altintas, Y. High speed CNC system
design. Part II: modelling and identiŽ cation of feed drives.
Int. J. Mach. Tools Mf., August 2001, 41(10), 1487–1509.
2 Pislaru, C., Ford, D. G. and Freeman, J. M. A new
approach to the modelling and simulation of a CNC
machine tool axis drive. In Proceedings of the Fourth
International Conference on Laser Metrology and Machine
Performance (LAMDAMAP ’99), Longhirst Hall, Northumberland,
July 1999, pp. 335–343.
3 Pislaru, C., Ford, D. G. and Freeman J. M. Dynamic
simulation of CNC machine tool axis drives. In International
Conference PCIM ’99, Intelligent Motion Section,
Nuremberg, Germany, 22–24 June 1999.
4 Pislaru, C., Ford, D. G. and Freeman, J. M. A new 3D
model for evaluating the performance of CNC machine
tool axis drives. In First International Conference of the
European Society for Precision Engineering and Nano-
G HOLROYD, 1176 C PISLARU AND D G FORD
Proc. Instn Mech. Engrs Vol. 217 Part C: J. Mechanical Engineering Science C10502 # IMechE 2003
technology (EUSPEN), Bremen, Germany, 31 May–4 June
1999, pp. 72–75.
5 Blake, M. D., Ford, D. G. and Morton D. Modelling and
simulation of CNC machine tool axis drives. In Proceedings
of the 10th International Conference on Systems
Engineering, Coventry University, September 1994, Vol. 1,
pp. 103–110.
6 De Silva, C. W. Vibration—Fundamentals and Practice,
1999, pp. 349–398 (CRC Press, Boca Raton, Florida).
7 Pestel, C. E. and Leckie, F. A. Matrix Methods in
Elastomechanics, 1963 (McGraw-Hill, New York).
8 Holroyd, G., Pislaru, C. and Ford, D. G. IdentiŽ cation of
damping elements in a CNC machine tool drive. In
Proceedings of 5th International Conference on Laser
Technology, Machine Tool, CMM and Robot Performance
(LAMDAMAP 2001), Birmingham, July 2001, pp. 289–299
(WIT Press, Southampton).
9 Pislaru, C. Parameter identiŽ cation and hybrid mathematical
modelling techniques applied to non-linear control
systems. PhD thesis, The University of HuddersŽ eld, 2001.
10 Adhikari, S. Calculation of derivative of complex modes
using classical normal modes. Computers and Structs, 15
August 2000, 77(6), 625–630.
11 Nelson, R. B. SimpliŽ ed calculation of eigenvector derivatives.
Am. Inst. Aeronaut. Astronaut. J., 1976, 14(9), 1201–
1205.
12 Adelman, H. M. and Haftka, R. T. Sensitivity analysis of
discrete structural system. Am. Inst. Aeronaut. Astronaut.,
1986, 24(5), 823–832.
13 Murthy, D. V. and Haftka, R. T. Derivatives of eigenvalues
and eigenvectors of a general complex matrix. Int. J.
Numer. Meth. Engng, 1988, 26, 293–311.
14 Zeng, Q. H. Highly accurate modal method for calculating
eigenvector derivatives in viscous damping systems. Am.
Inst. Aeronaut. Astronaut. J., 1995, 33(4), 746–751.
15 Cronin, D. L. Eigenvalue and eigenvector determination for
non-classically damped dynamic systems. Computers and
Structs, 1990, 36(1), 133–138.
16 Woodhouse, J. Linear damping models for structural
vibration. J. Sound Vibr., 1998, 215(3), 547–569.
17 Harris, C. M. Shock and Vibration Handbook, 3rd edition,
1985 (McGraw-Hill, New York).
18 Quayle, J. P. Kempe’s Engineers’ Y ear Book, 89th edition,
1984, pp. A2/37–38 (Morgan Grampian, London).
19 James, M. L., Smith, G. M., Wolford, J. C. and Whaley, P.
W. Vibration of Mechanical and Structural Systems: With
Microcomputer Applications, 1989 (Harper and Row, New
York).
20 Newland, D. E. Mechanical Vibration Analysis and Computation,
1989 (Longman ScientiŽ c and Technical, Harlow).
21 Press, W. H., Teukolsky, S. A., Vetterling, W. T. and
Flannery, B. P. Numerical Recipes in C—The Art of
ScientiŽ c Computing, 1992 (Cambridge University Press).
22 Gourlay, A. R. and Watson, G. A. Computational Methods
for Matrix Eigenproblems, 1973 (John Wiley, Chichester).
23 Wilkinson, M. A. The Algebraic Eigenvalue Problem, 1965
(Clarendon Press, Oxford).