Linear stability analysis of gas-lubricated slider in magnetic recording system with ultra-thin spacing

Cheng I. Weng, Jang I. Lue, Wang-Long Li

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The dynamics of a magnetic head flying above a rotating disk with a flying height of the order of one sub-micron or less are discussed. The generalized gas molecular lubrication equation, with roughness and rarefaction effects taken into account, and the equations of motion of the magnetic head are solved simultaneously in the linear stability regime. As the coefficients of the dynamic system are time varying, the nonlinear algebraic equation for the characteristic frequency in the Laplace transform domain is solved iteratively. The stability boundaries are obtained for various roughness parameters (Peklenik number, γ, and standard deviations of composite roughness height, Λ b ) and operating parameters (modified bearing number, Λ b ). It is shown that there exists a critical bearing number for a certain moment of inertia/mass ratio of the slider. It is also shown that the slider can fly at a lower height and is more stable when either transversely oriented roughness or a low disk velocity is utilized. A design procedure for stable head-disk operating conditions is also proposed.

Original languageEnglish
Pages (from-to)1757-1769
Number of pages13
JournalJournal of Physics D: Applied Physics
Volume31
Issue number14
DOIs
Publication statusPublished - 1998 Jul 21

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Linear stability analysis
Magnetic recording
magnetic recording
chutes
Bearings (structural)
roughness
Gases
Surface roughness
spacing
Magnetic heads
gases
flight
rarefaction
Laplace transforms
rotating disks
Rotating disks
moments of inertia
molecular gases
lubrication
Nonlinear equations

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Acoustics and Ultrasonics
  • Surfaces, Coatings and Films

Cite this

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abstract = "The dynamics of a magnetic head flying above a rotating disk with a flying height of the order of one sub-micron or less are discussed. The generalized gas molecular lubrication equation, with roughness and rarefaction effects taken into account, and the equations of motion of the magnetic head are solved simultaneously in the linear stability regime. As the coefficients of the dynamic system are time varying, the nonlinear algebraic equation for the characteristic frequency in the Laplace transform domain is solved iteratively. The stability boundaries are obtained for various roughness parameters (Peklenik number, γ, and standard deviations of composite roughness height, Λ b ) and operating parameters (modified bearing number, Λ b ). It is shown that there exists a critical bearing number for a certain moment of inertia/mass ratio of the slider. It is also shown that the slider can fly at a lower height and is more stable when either transversely oriented roughness or a low disk velocity is utilized. A design procedure for stable head-disk operating conditions is also proposed.",
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Linear stability analysis of gas-lubricated slider in magnetic recording system with ultra-thin spacing. / Weng, Cheng I.; Lue, Jang I.; Li, Wang-Long.

In: Journal of Physics D: Applied Physics, Vol. 31, No. 14, 21.07.1998, p. 1757-1769.

Research output: Contribution to journalArticle

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N2 - The dynamics of a magnetic head flying above a rotating disk with a flying height of the order of one sub-micron or less are discussed. The generalized gas molecular lubrication equation, with roughness and rarefaction effects taken into account, and the equations of motion of the magnetic head are solved simultaneously in the linear stability regime. As the coefficients of the dynamic system are time varying, the nonlinear algebraic equation for the characteristic frequency in the Laplace transform domain is solved iteratively. The stability boundaries are obtained for various roughness parameters (Peklenik number, γ, and standard deviations of composite roughness height, Λ b ) and operating parameters (modified bearing number, Λ b ). It is shown that there exists a critical bearing number for a certain moment of inertia/mass ratio of the slider. It is also shown that the slider can fly at a lower height and is more stable when either transversely oriented roughness or a low disk velocity is utilized. A design procedure for stable head-disk operating conditions is also proposed.

AB - The dynamics of a magnetic head flying above a rotating disk with a flying height of the order of one sub-micron or less are discussed. The generalized gas molecular lubrication equation, with roughness and rarefaction effects taken into account, and the equations of motion of the magnetic head are solved simultaneously in the linear stability regime. As the coefficients of the dynamic system are time varying, the nonlinear algebraic equation for the characteristic frequency in the Laplace transform domain is solved iteratively. The stability boundaries are obtained for various roughness parameters (Peklenik number, γ, and standard deviations of composite roughness height, Λ b ) and operating parameters (modified bearing number, Λ b ). It is shown that there exists a critical bearing number for a certain moment of inertia/mass ratio of the slider. It is also shown that the slider can fly at a lower height and is more stable when either transversely oriented roughness or a low disk velocity is utilized. A design procedure for stable head-disk operating conditions is also proposed.

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