Abstract
In this study, the design theory of a previously proposed contact head slider was extended by considering a thermally protruding head slider and the intermolecular adhesive force between the head and disk surfaces. The waviness-excited vibration characteristics of the thermally protruding contact head slider were analyzed using a single-degree-of-freedom slider model, whose contact stiffness was calculated in accordance with the Johnson–Kendall–Roberts adhesive contact theory. It was found that, because of the adhesive force, the resonance frequency f r of the contact slider changed from zero to a value higher than the original second-pitch-mode resonance frequency with an increase in the head-penetration depth. Because the waviness-excited vibration of the contact slider is amplified at f r , the first- and second-pitch-mode vibrations of the thermally protruding slider can be excited when f r approaches those resonance frequencies. Because the friction force varies with the vibration of the contact slider, vibration modes of the slider-suspension system often observed at the beginning of contact can be explained. It is suggested that the region of the head-penetration depth for perfect contact sliding can be widened by increasing the effective contact damping and decreasing the disk waviness.
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Abbreviations
- A(f k ):
-
Amplitude of disk-waviness at frequency f k (m)
- E * :
-
Composite Young’s modulus in contacting system (Pa)
- B :
-
Ratio of rms value of head–disk spacing displacement, σ h , to that of disk waviness, σ d
- F :
-
Total force acting on spherical head (sum of surface attractive force, elastic reacting force, and air-bearing force) (N)
- F H :
-
External force or reacting force in Hertzian contact (N)
- F JKR :
-
Sum of surface attractive force and elastic reacting force, based on Johnson–Kendall–Roberts theory (N)
- H 1 (f k ):
-
Amplitude of frequency–response function of relative displacement of contact head to disk-waviness amplitude
- H 2 (f k ):
-
Amplitude of frequency–response function of absolute displacement of contact head to disk-waviness amplitude
- J G :
-
Moment of inertia about center of mass of head slider (kg · m2)
- R :
-
Radius of curvature of spherical head (m)
- a :
-
Contact radius of spherical head with a disk (m)
- c ef :
-
Effective damping ratio of head–disk contact (N · s/m)
- d h :
-
Position of read/write head (m)
- d 1 :
-
Center of pressure of front air-bearing pad (m)
- d 2 :
-
Center of pressure of rear air-bearing pad (m)
- f k :
-
Frequency of disk waviness (Hz)
- f 1 :
-
Minimum frequency for evaluating disk waviness (Hz)
- f N+1 :
-
Maximum frequency for evaluating disk waviness (Hz)
- f P1 :
-
Natural frequency of the first-pitch mode of flying head slider (Hz)
- f P2 :
-
Natural frequency of the second-pitch mode of flying head slider in flying and contacting states (Hz)
- f r :
-
Natural frequency (resonance frequency) of contact slider (Hz)
- h :
-
Spacing (relative displacement) between contact head and disk surface (m)
- k a :
-
Air-bearing stiffness (N/m)
- k c :
-
Contact stiffness, including effects of surface attractive force and elastic reacting force, calculated from Johnson–Kendall–Roberts theory (N/m)
- k ef :
-
Effective stiffness, including effects of surface attractive force, elastic reacting force, and air-bearing force (N/m)
- k efm :
-
Effective mean stiffness of contact slider (N/m)
- k s :
-
Stiffness of head suspension (N/m)
- m ef :
-
Effective mass of single-degree-of-freedom model of contact head slider (kg)
- p 1 :
-
Position of the first-pitch mode node point of head slider (m)
- p 2 :
-
Position of the second-pitch mode node point of head slider (m)
- p max :
-
Maximum contact pressure of mean height surface calculated from Hertzian contact theory (Pa)
- z :
-
Position of apex of spherical contact head normal to disk surface (m)
- z d :
-
Height of disk waviness from mean height of disk surface (m)
- z 0 :
-
Atomic equilibrium distance (m)
- β :
-
Roll-off factor for frequency characteristics of disk waviness
- δ :
-
Head-penetration depth of contact slider (m)
- ζ :
-
Effective damping ratio of contactslider
- Δγ :
-
Reduction in surface energy when two mating surfaces come in contact (N/m)
- μ :
-
Tabor parameter (μ = (RΔγ 2/E *2 z 3 0 )1/3)
- σ a :
-
Rms value of roughness asperity height (m)
- σ d :
-
Rms value of disk waviness amplitude (m)
- σ h :
-
Rms value of head–disk spacing (m)
- σ r :
-
Rms value of surface roughness height (m)
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Acknowledgments
This work was supported by JSPS Grant-in-Aid for Scientific Research (C)No. 24560154.
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Ono, K. Design theory and vibration characteristics of a contact head slider. Microsyst Technol 19, 1275–1287 (2013). https://doi.org/10.1007/s00542-013-1744-9
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DOI: https://doi.org/10.1007/s00542-013-1744-9