Skip to main content
Log in

Research on the design of the ultra-high-precision positioning control error compensation

  • Published:
International Journal of Precision Engineering and Manufacturing Aims and scope Submit manuscript

Abstract

Active researches on milli-structures and micro-machines have been conducted in advanced countries, and micro-machining technology is one of the core items of the researches. The current technical backgrounds of micro-machining can be divided into semiconductor-based machining, such as lithography and etching, and conventional mechanical machining such as cutting, grinding, and electro-spark machining. The former can be limited due to their materials or thickness, and the latter, while having good productivity, suffer from a less-than superior finishing surface. Therefore, the cutting work could be reasonable in terms of superior productivity and a greater degree of freedom. Conventional ultra-high-precision cutting technology can be used for surface machining, but it has not yet been used to produce ultra-fine components. Therefore, researches on the preparation of ultra-highprecision micro-components in three-dimensional spaces with the milling technique using a single crystal diamond bite are underway. In this study, finite element analysis (FEA) was used to determine the safety and control performance of the micro-stage for the design of an elastic-hinge-type stage using a piezo-electric element.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Abbreviations

Fm:

main cutting force

Fr:

radial/thrust cutting force

Fa:

feed cutting force

N:

shape function

â :

parameter

B :

deformation rate matrix

E:

Young’s modulus

v :

Poisson ratio

σ ij :

stress

ε ij :

deformation rate

f e :

applied force

K e :

element rigidity matrix

a e :

knot parameter

References

  1. Geyl, R., “Design and Fabrication of a Three-Mirror, Flat-Field Anastigmat for High-Resolution Earth Observation,” Proc. of SPIE, Vol. 2210, pp. 739–746, 1994.

    Article  Google Scholar 

  2. Kim, J. Y., Lee, H. N., Kwac, L. K., Han, J. H., Cho, Y. T., and Jun, C. G., Control Performance Evaluation of Ultra Precision Positioning Apparatus,” Proc. of the International Symposium on Mechatronics and Intelligent Mechanical System for 21 Century, ISIM, pp. 252–255, 2000.

    Google Scholar 

  3. Shiraishi, M. and Uehara, K., “In-Process Control of Workpiece Dimension in Turning,” Annals of the CIRP, Vol. 28, No. 1, pp. 333–337, 1979.

    Google Scholar 

  4. Becker, P., Dorenwendt, K., Ebeling, G., Lauer, R., Lucas, W., et al., “Absolute Measurement of the (220) Lattice Plane Spacing in a Silicon Crystal,” Physical Review Letters, Vol. 46, No. 23, pp. 1540–1543, 1981.

    Article  Google Scholar 

  5. Kim, H.-S. and Kim, E.-J., “Feed-Forward Control of Fast Tool Servo for Real-Time Correction of Spindle Error in Diamond Turning of Flat Surfaces,” International Journal of Machine Tools and Manufacture, Vol. 43, No. 12, pp. 1177–1183, 2003.

    Article  Google Scholar 

  6. European Commission, Future and Emerging Technologies, http:// ec.europa.eu/programmes/horizon2020/en/h2020-section/future-andemerging-technologies (Accessed 7 SEP 2016)

  7. Kohno, T., Okazaki, Y., Ozawa, N., Mitsui, K., and Omoda, M., Inprocess Measurement and a Workpiece-Referred Form Accuracy Control System (WORFAC): Concept of the Method and Preliminary Experiment,” Precision Engineering, Vol.11, No.1, pp. 9–14, 1989.

    Article  Google Scholar 

  8. Falter, P. J., “Diamond Turning of Nonrotationally Symmetric Surfaces,” Dissertation Abstracts International, Vol. 51-04, Section: B, pp. 2019, 1990.

    Google Scholar 

  9. Patterson, S. R. and Magrab, E. B., “Design and Testing of a Fast Tool Servo for Diamond Turning,” Precision Engineering, Vol. 7, No. 3, pp. 123–128, 1985.

    Article  Google Scholar 

  10. Donaldson, R. R. and Patterson, S. R., “Design and Construction of a Large, Vertical Axis Diamond Turning Machine,” Proc. of SPIE, Vol. 0443, pp. 62–67, 1983.

    Article  Google Scholar 

  11. Ljubarsky, S. V., Sobolev, V. G., and Shevtsov, S. E., “Optical surface Fabrication on Ultraprecision Machines,” Proc. of SPIE, Vol. 1266, pp. 226–236, 1990.

    Article  Google Scholar 

  12. Nakazawa, H., “Principles of Precision Engineering,” Oxford University Press, pp. 75–82, 140-167, 1994.

    Google Scholar 

  13. Smith, S. T. and Chetwynd, D. G., “Foundations of Ultra-Precision Mechanism Design,” pp. 95–128, 1992.

  14. Keith Bowen, D., “Development in Nanotechnology,” Gordon and Breach Science Publishers, pp. 95–129, 1992.

    Google Scholar 

  15. Becker, E. B., Carey, G. F., and Oden, J. T., “Finite Elements, an Introduction: Volume I,” The University of Texas at Austin, pp. 242–245, 1981.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jae-Yeol Kim.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Park, DK., Lee, GI., Gao, JC. et al. Research on the design of the ultra-high-precision positioning control error compensation. Int. J. Precis. Eng. Manuf. 17, 1351–1358 (2016). https://doi.org/10.1007/s12541-016-0160-3

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12541-016-0160-3

Keywords

Navigation