Skip to main content
SpringerLink
Log in

The effect of dynamic behavior on surface roughness of ball screw under the grinding force

  • ORIGINAL ARTICLE
  • Published:
The International Journal of Advanced Manufacturing Technology Aims and scope Submit manuscript

Abstract

The dynamic behavior of a ball screw under a moving grinding force and the resulting ball screw surface roughness are investigated. The system includes a ball screw, a headstock, a tailstock, a steady rest, a grinding wheel, and a wheel head. Equations of motion of the system are derived through Lagrangian approach combined with global assumed mode method in this study. The transient responses of the system due to a moving force are evaluated using Runge–Kutta method. Results show that the steady rest can reduce 90% vibration in a grinding process. An equation is proposed to predict the maximum response by the cutting depth. Then we simulate the grain height distribution on the grinding wheel, considering transient response on the ball screw and the grinding wheel. Lastly, the ball screw surface roughness could be simulated via calculating the depth of all working grains. The purpose of using grinding process is that the ball screw needs fine surface roughness. The ball screw surface roughness is influenced by the grain size more than the structure numbers can be.

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. Katz R, Lee CW, Ulsoy AG, Scott RA (1988) The dynamic response of a rotating shaft subject to a moving load. J Sound Vib 122(1):131–148

    Article  Google Scholar 

  2. Lee HP (1995) Dynamic response of a rotating Timoshenko shaft subject to axial forces and moving loads. J Sound Vib 181(1):169–177

    Article  Google Scholar 

  3. Lee HP (1996) Dynamic response of a beam on multiple supports with a moving mass. Struct Eng Mech 4(3):303–312

    Google Scholar 

  4. Abu-Hilal M, Mohsen M (2000) Vibration of beams with general boundary conditions due to a moving harmonic load. J Sound Vib 232(4):703–717

    Article  Google Scholar 

  5. Shiau TN, Huang KH, Hsu WC (2006) Dynamic response and stability of a rotating ball screw under a moving skew load. J CSME 27(3):297–306

    Google Scholar 

  6. Shiau TN, Chen EC, Huang KH, Hsu WC (2006) Dynamic response of a spinning Timoshenko beam with general boundary conditions under a moving skew force using global assumed mode method. Int J JSME 49(2):401–410

    Article  Google Scholar 

  7. Salonitis K, Chryssolouris G (2006) Cooling in grind-hardening operations. Int J Adv Manuf Tech 33(3–4):285–297

    Google Scholar 

  8. Li H, Shin YC (2006) Wheel regenerative chatter of surface grinding. J Manu Sci-E 128(2):393–403

    Article  Google Scholar 

  9. Li H, Shin YC (2006) A time-domain dynamic model for chatter prediction of cylindrical plunge grinding processes. J Manu Sci-E 128(2):404–415

    Article  Google Scholar 

  10. Li H, Shin YC (2007) A study on chatter boundaries of cylindrical plunge grinding with process condition-dependent dynamics. Int J Mach Tool Manu 47(10):1563–1572

    Article  Google Scholar 

  11. Sadeghi MH, Haghighat H, Elbestawi MA (2003) A solid modeler based ball-end milling process simulation. Int J Adv Manuf Tech 22(11–12):775–785

    Article  Google Scholar 

  12. Shiau TN, Chen KH, Chang JR (2009) Critical speed analysis for nonlinear effects of rotor system and ball end milling. Int J Adv Manuf Tech 44(5–6):463–475

    Article  Google Scholar 

  13. Chen X, Rowe WB (1996) Analysis and simulation of the grinding process. Part І. Generation of the grinding wheel surface. Int J Mach Tool Manu 36(8):871–882

    Article  Google Scholar 

  14. Singh D, Rao PV (2006) A surface roughness prediction model for hard turning process. Int J Adv Manuf Tech 32(11–12):1115–1124

    Google Scholar 

  15. Zhou X, Xi F (2002) Modeling and predicting surface roughness of the grinding process. Int J Mach Tool Manu 42(8):969–977

    Article  Google Scholar 

  16. Salisbury EJ, Domala KV, Moon KS, Miller MH, Sutherland JW (2001) A three-dimensional model for the surface texture in surface grinding, Part 1: surface generation model. J Manu Sci-E 123:576–581

    Article  Google Scholar 

  17. Salisbury EJ, Domala KV, Moon KS, Miller MH, Sutherland JW (2001) A three-dimensional model for the surface texture in surface grinding, Part 2: grinding wheel surface texture model. J Manuf Sci-E 123:582–590

    Article  Google Scholar 

  18. Liu Z, Payre G (2007) Stability analysis of doubly regenerative cylindrical grinding process. J Sound Vib 301(3–5):950–962

    Article  Google Scholar 

  19. Orynski F, Pawlowski W (2002) The mathematical description of dynamics of the cylindrical grinder. Int J Mach Tool Manu 42(7):773–780

    Article  Google Scholar 

  20. Malkin S (1989) Theory and applications of machining with abrasives. University of Massachusetts

Download references

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, National Chung Cheng University, No.168, University Rd., Ming-Hsiung, Chia-Yi, 621, Taiwan, Republic of China

    Ting-Nung Shiau, Fu-Ching Wang & Chui-Te Chio

  2. Manufacturing Design Laboratory, No.15, Chao-Yang Street, Taichung, 403, Taiwan, Republic of China

    Kuan-Hung Chen

  3. Department of Mechanical Engineering, WuFen Institute of Technology, No.117, Sec. 2, Jianguo Rd., Ming-Hsiung, Chia-Yi, 621, Taiwan, Republic of China

    Wei-Chun Hsu

Authors
  1. Ting-Nung Shiau
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Kuan-Hung Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Fu-Ching Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Chui-Te Chio
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Wei-Chun Hsu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Kuan-Hung Chen.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shiau, TN., Chen, KH., Wang, FC. et al. The effect of dynamic behavior on surface roughness of ball screw under the grinding force. Int J Adv Manuf Technol 52, 507–520 (2011). https://doi.org/10.1007/s00170-010-2731-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-010-2731-2

Keywords

Search

Navigation