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Design theory and vibration characteristics of a contact head slider

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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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Correspondence to Kyosuke Ono.

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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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