Skip to main content
SpringerLink
Log in

Analysis and modeling of error of spiral bevel gear grinder based on multi-body system theory

  • Published:
Journal of Central South University of Technology Aims and scope Submit manuscript

Abstract

Six-axis numerical control spiral bevel gear grinder was taken as the object, multi-body system theory and Denavit-Hartenberg homogeneous transformed matrix (HTM) were utilized to establish the grinder synthesis error model, and the validity of model was confirmed by the experiment. Additionally, in grinding wheel tool point coordinate system, the errors of six degrees of freedom were simulated when the grinding wheel revolving around C-axis, moving along X-axis and Y-axis. The influence of these six errors on teeth space, helix angle, pitch, teeth profile was discussed. The simulation results show that the angle error is in the range from −0.148 4 rad to −0.241 9 rad when grinding wheel moving along X, Y-axis; the translation error is in the range from 0.866 0 μm to 3.605 3 μm when grinding wheel moving along X-axis. These angle and translation errors have a great influence on the helix angle, pitch, teeth thickness and tooth socket.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. SHIH Y P, FONG Z H. Flank modification methodology for face-hobbing hypoid gears based on ease-off topography [J]. Journal of Mechanical Design, 2007, 129(12): 1294–1302.

    Article  Google Scholar 

  2. LIN C Y, TSAY C B, FONG Z H. Computer-aided manufacturing of spiral bevel and hypoid gears with minimum surface deviation [J]. Mech Mach Theory, 1998, 33(6): 785–803.

    Article  Google Scholar 

  3. LIN C Y, TSAY C B, FONG Z H. Computer-aided manufacturing of spiral bevel and hypoid gears by applying optimization techniques [J]. Journal of Materials Processing Technology, 2001, 114: 22–35.

    Article  Google Scholar 

  4. FAN Sheng-bo, WANG Tai-yong, WANG Wen-jin, WANG Wen-jin, LENG Yong-gang. Prediction of diameter errors compensation in bars turning [J]. Journal of Central South University of Technology, 2005, 12(S2): 264–268.

    Article  Google Scholar 

  5. LEI W T, SUNG M P. NURBS-based fast geometric error compensation for CNC machine tools [J]. Inter Mach Tools Manufact, 2008, 48: 1199–1213.

    Google Scholar 

  6. SRIVASTAVA A K, VELDHUIS S C, ELBESTAWIT M A. Modeling geometric and thermal errors in a five-axis CNC machine tool [J]. Inter J Mach Tools Manufact, 1995, 35(9): 1321–1337.

    Article  Google Scholar 

  7. LIN Y, SHEN Y. Modeling of five-axis machine tool metrology models using the matrix summation approach [J]. The International Journal of Advanced Manufacturing Technology, 2003, 21: 243–248.

    Article  Google Scholar 

  8. BOHEZ E L J. Compensating for systematic errors in 5-axis NC machining [J]. Computer-Aided Dsign, 2002, 34: 391–403.

    Article  Google Scholar 

  9. OKAFOR A C, ERTEKIN Y M. Derivation of machine tool error models and error compensation procedure for three axes vertical machining center using rigid body kinematics [J]. Inter J Mach Tools Manufact, 2000, 40: 1199–1213.

    Article  Google Scholar 

  10. LEE J H, YANG S H. Measurement of geometric errors in a miniaturized machine tool using capacitance sensors [J]. Journal of Materials Processing Technology, 2005, 165: 1402–1409.

    Article  Google Scholar 

  11. YANG Hong, NI Jun. Dynamic neural network modeling for nonlinear, nonstationary machine tool thermally induced error [J]. Inter J Mach Tools Manufact 2005, 45: 455–465.

    Article  Google Scholar 

  12. YANG Hong, NI Jun. Adaptive model estimation of machine-tool thermal errors based on recursive dynamic modeling strategy [J]. Inter J Mach Tools Manufact, 2005, 45: 1–11.

    Article  Google Scholar 

  13. ZHAO Hai-tao, YANG Jian-guo, SHEN Jin-hua. Simulation of thermal behavior of a CNC machine tool spindle [J]. Inter J Mach Tools Manufact, 2007, 47: 1003–1010.

    Article  Google Scholar 

  14. FLORUSSEN G H J, DELBRESSINE F L M, VAN DE MOLENGRAFT M J G, SCHELLEKENS P H J. Assessing geometrical errors of multi-axis machines by three-dimensional length measurements [J]. Measurement, 2001, 30: 241–255.

    Article  Google Scholar 

  15. TONG Heng-chao, YANG Jian-guo, LIU Guo-liang, WANG Xiu-shan, LI Yong-xiang. The volumetric error modeling technique of the two-axis system in an NC lathe [J]. Journal of Shanghai Jiaotong University, 2006, 40(7): 1213–1217. (in Chinese)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Mechanical and Electrical Engineering, Central South University, Changsha, 410083, China

    Shu-han Chen  (陈书涵), Hong-zhi Yan  (严宏志) & Xing-zu Ming  (明兴祖)

  2. School of Mechanical Engineering, Hunan University of Technology, Zhuzhou, 412008, China

    Xing-zu Ming  (明兴祖)

Authors
  1. Shu-han Chen  (陈书涵)
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Hong-zhi Yan  (严宏志)
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Xing-zu Ming  (明兴祖)
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Hong-zhi Yan  (严宏志).

Additional information

Foundation item: Project(2005CB724104) supported by the Major State Basic Research Development Program of China; Project(1343-77202) supported by the Graduate Students Innovate of Central South University

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chen, Sh., Yan, Hz. & Ming, Xz. Analysis and modeling of error of spiral bevel gear grinder based on multi-body system theory. J. Cent. South Univ. Technol. 15, 706–711 (2008). https://doi.org/10.1007/s11771-008-0131-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11771-008-0131-7

Key words

Search

Navigation