Skip to main content
SpringerLink
Log in

Finite element modal analysis of a rotating disk–spindle system in a HDD with hydrodynamic bearings considering the flexibility of a complicated supporting structure

  • Technical paper
  • Published:
Microsystem Technologies Aims and scope Submit manuscript

Abstract

This paper presents a method to analyze the free vibration of a rotating disk–spindle system in a HDD with hydrodynamic bearings (HDBs) considering the flexibility of a complicated base structure by using finite element method. Finite element equations of each component of a HDD spindle system from the spinning flexible disk to the flexible base plate are consistently derived by satisfying the geometric compatibility in the internal boundary between each component. The rigid link constraints are also imposed at the interface area between the sleeve and hydrodynamic bearings to describe the physical motion at this interface. A global matrix equation obtained by assembling the finite element equations of each substructure is transformed to a state-space matrix-vector equation, and both damped natural frequencies and modal damping ratios are calculated by solving the associated eigenvalue problem by using the restarted Arnoldi iteration method. The validity of the proposed method is verified by comparing the calculated damped natural frequencies and modes with the experimental results. This research also shows that the supporting structure which includes the stator, housing and base plate plays an important role in determining the natural frequencies and mode shapes of a HDD spindle system

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

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13

Similar content being viewed by others

References

  • Cook RD, Malkus DS, Plesha ME (1989) Concepts and applications of finite element analysis, 3rd edn. Wiley, New York

    Google Scholar 

  • Hinton E, Owen DRJ (1977) Finite element programming. Academic, London

    Google Scholar 

  • Hughes JR (1987) The finite element method. Prentice-Hall, Englewood Cliffs, NJ

    Google Scholar 

  • Jang GH, Kim JY (1999) Calculation of dynamic coefficients in a hydrodynamic bearing considering five degrees of freedom for a general rotor-bearing system. ASME J Tribol 121(3):499–505

    Google Scholar 

  • Jintanawan T, Shen IY, Ku C-PR (1999) Free and forced vibrations of a rotating disk pack and spindle motor system with hydrodynamic bearings. J Inf Storage Process Syst 1:45–58

    Google Scholar 

  • Lehoucq RB, Sorensen DC (1996) Deflation techniques for an implicitly restarted Arnoldi iteration. SIAM J Matrix Anal Appl 17(4):789–821

    Article  Google Scholar 

  • Nelson HD (1980) Finite rotating shaft element using Timoshenko beam theory. J Mech Des 102:793–803

    Google Scholar 

  • Pawlak TP, Yunus SM, Cook RD (1991) Solid elements with rotational degrees of freedom: Part II—Tetrahedron elements. Int J Numer Methods Eng 31:593–610

    Google Scholar 

  • Petyt M (1990) Introduction to finite element vibration analysis. Cambridge University Press, Cambridge

    Google Scholar 

  • Reddy JN (1993) An introduction to the finite element method, 2nd edn. McGraw-Hill, New York

    Google Scholar 

  • Saad Y (1995) Iterative methods for sparse linear systems. PWS Publishing Company, Boston

    Google Scholar 

  • Tseng CW, Shen JY, Shen IY (2003) Vibration of rotating-shaft HDD spindle motors with flexible stationary parts. IEEE Trans Magn 39:794–799

    Article  Google Scholar 

  • Ugural AC, Fenster SK (1981) Advanced strength and applied elasticity. Elsevier, Amsterdam

    Google Scholar 

  • Zang Y, Hatch MR (1996) On the whirl dynamics of hydrodynamic bearing spindle in information storage systems. Int Symp Inf Storage Process Syst 2:73–84

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. PREM, Department of Mechanical Engineering, Hanyang University, 17 Haengdang-dong, Seongdong-gu, Seoul, 133-791, Republic of Korea

    G. H. Jang & C. H. Seo

  2. Samsung Advanced Institute of Technology, P. O. Box 111, Suwon, 440-600, Korea

    J. H. Han

Authors
  1. G. H. Jang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J. H. Han
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. C. H. Seo
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to G. H. Jang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jang, G.H., Han, J.H. & Seo, C.H. Finite element modal analysis of a rotating disk–spindle system in a HDD with hydrodynamic bearings considering the flexibility of a complicated supporting structure. Microsyst Technol 11, 488–498 (2005). https://doi.org/10.1007/s00542-005-0597-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00542-005-0597-2

Keywords

Search

Navigation