Browse > Article
http://dx.doi.org/10.5050/KSNVE.2010.20.10.915

Finite Element Forced Response of a Spinning Flexible HDD Disk-spindle System Considering the Asymmetry Originating from Gyroscopic Effect and Fluid Dynamic Bearings  

Park, Ki-Yong (한양대학교 대학원 기계공학과)
Jang, Gun-Hee (한양대학교 기계공학부)
Seo, Chan-Hee (한양대학교 대학원 기계공학과)
Publication Information
Transactions of the Korean Society for Noise and Vibration Engineering / v.20, no.10, 2010 , pp. 915-922 More about this Journal
Abstract
This paper presents an efficient method for determining the forced response of a spinning flexible disk-spindle system supported by fluid dynamic bearings(FDBs) in a computer hard disk drive(HDD). The spinning flexible disk-spindle system is represented by the asymmetric finite element equations of motion originating from the asymmetric dynamic coefficients of the FDBs and the gyroscopic moment of a spinning disk-spindle system. The proposed method utilizes only the right eigenvectors of the eigenvalue problem to transform the large asymmetric finite element equations of motion into a small number of coupled equations, guaranteeing the accuracy of their numerical integration. The results are then back-substituted into the equations of motion to determine the forced response. The effectiveness of the proposed method was verified by comparing it with the responses from the classical methods of mode superposition with the general eigenvalue problems, and mode superposition with modal approximation. The proposed method was shown to be effective in determining the forced response represented by the asymmetric finite element equations of motion of a spinning flexible disk-spindle system supported by FDBs.
Keywords
Eigenvalue Problem; Adjoint Eigenvalue Problem; Biorthogonality; Forced Response; Disk-spindle System; Fluid Dynamic Bearings;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Chopra, A. K., 2001, “Dynamics of Structures,” 3rd ed., Prentice-Hall, pp. 612-618.
2 Jang, G. H. and Seo, C. H., 2007, “Finiteelement Shock Analysis of an Operating Hard Disk Drive Considering the Flexibility of a Spinning Disk-spindle, a Head-suspension-actuator, and a Supporting Structure,” IEEE Transactions on Magnetics, Vol. 43, No. 9, pp. 3738-3743.   DOI
3 Seo, C. H., Park, K. Y. and Jang, G. H., 2010, “Modal Contribution Analysis of a Complete Flexible Operating HDD Affecting the Head-disk Motion due to Shock,” Microsystem Technologies, Vol. 16, No. 1/2, pp. 179-185.   DOI
4 Liu, M., Yap, F. F. and Harmoko, H., 2008, “A Model for a Hard Disk Drive for Vibration and Shock Analysis,” IEEE Transactions on Magnetics, Vol. 44, No. 12, pp. 4764-4768.   DOI
5 Liu, M., Yap, F. F. and Harmoko, H., 2007, “Modeling of Hard Disk Drives for Shock and Vibration Analysis-consideration of Nonlinearities and Discontinuities,” Nonlinear Dynamics, Vol. 50, No. 3, pp. 717-731.   DOI
6 Meirovitch, L., 1967, “Analytical Methods in Vibrations,” Macmillan.
7 Jang, G. H., Han, J. H. and Seo, C. H., 2005, “Finite Element Modal Analysis of a Rotating Disk-spindle System in a HDD with Hydrodynamic Bearings Considering the Flexibility of a Complicated Supporting Structure,” Microsystem Technologies, Vol. 2005, No. 11, pp. 488-498.
8 Jang, G. H. and Seo, C. H., 2007, “Finite Element Modal Analysis of an HDD Considering the Flexibility of Spinning Disk-spindle, Head-suspension-actuator and Supporting Structure,” Microsystem Technologies, Vol. 13, No. 8-10, pp. 837-847.   DOI
9 Jang, G. H. and Lee, S. H., 2006, “Determination of the Dynamic Coefficients of the Coupled Journal and Thrust Bearings by the Perturbation Method,” Tribology Letters, Vol. 22, No. 3, pp. 239-246.   DOI
10 Lehoucq, R. B. and Sorensen, D. C., 1996, “Deflation Techniques for an Implicitly Restarted Arnoldi Iteration,” J. Matrix anal. Appl. SIAM, pp. 789-821.
11 Shen, I. Y. and Ku, CPR., 1997, “A Nonclassical Vibration Analysis of a Multiple Rotating Disk and Spindle Assembly,” Journal of Applied Mechanics, Vol. 64, No. 1, pp. 165-174.   DOI
12 Jang, G. H. and Jung, M, S., 2002, “Free Vibration Analysis of a Spinning Flexible Disk-spindle System Supported by Ball Bearing and Flexible Shaft Using Finite Element Method and Substructure Synthesis,” Journal of Sound and Vibration, Vol. 251, No. 1, pp. 59-78.   DOI
13 Tseng, C. W., Shen, J. Y. and Shen, I. Y., 2003, “Vibration of Rotating-shaft HDD Spindle Motors with Flexible Stationary Parts,” IEEE Transactions on Magnetics, Vol. 39, pp. 794-799.   DOI
14 Shen, I. Y. and Yoon, J. K., 2005, “A Numerical Study on Rotating-shaft Spindles with Nonlinear Fluid-dynamic Bearings,” IEEE Transactions on Magnetics, Vol. 41, No. 2, pp. 756-762.   DOI
15 Lim, S., 2000, “Finite Element Analysis of Flexural Vibrations in Hard Disk Drive Spindle Systems,” Journal of Sound and Vibration, Vol. 233, No. 4, pp. 597-612.   DOI