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Load unload processes for sub 10NM flying height sliders a simulation study

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Load/Unload Processes for Sub-10-nm Flying Height Sliders – A Simulation Study xi c Distance from pivot to ABF center in the x-direction d Air bearing pitch moment e Pitch angle f Distan

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LOAD/UNLOAD PROCESSES FOR SUB-10-NM FLYING HEIGHT SLIDERS

– A SIMULATION STUDY

KEK EE LING

NATIONAL UNIVERSITY OF SINGAPORE

2005

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LOAD/UNLOAD PROCESSES FOR SUB-10-NM FLYING HEIGHT SLIDERS

– A SIMULATION STUDY

KEK EE LING

(B.Eng (Hons.), NUS)

A THESIS SUBMITTED FOR THE DEGREE OF MASTER OF ENGINEERING DEPARTMENT OF MECHANICAL ENGINEERING NATIONAL UNIVERSITY OF SINGAPORE

2005

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Load/Unload Processes for Sub-10-nm Flying Height Sliders – A Simulation Study

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Acknowledgement

I would like to thank Dr Sinha Sujeet Kumar, Assistant Professor for Department of Mechanical Engineering of National University of Singapore (NUS), for his advice throughout my candidature

I would also like to express my sincere gratitude to Dr Ma Yansheng, Senior Research Scientist for Spintronics, Media and Interface (SMI) Division of Data Storage Institute (DSI), for his patient guidance, invaluable suggestions and kind understanding throughout the course of this research work His proficient advice and guidance has been very helpful throughout the project

I am thankful to Dr Liu Zhejie, from the Mechanics and Recording Channel (MRC) Division of DSI, for his support

My deepest appreciation is extended to Dr Liu Bo, Dr Hua Wei, Dr Yuan Zhimin, Dr

Yu Shengkai, Dr Zhang Mingsheng, Mr Zhou Jiang and Mr Leonard Gonzaga, from the SMI Division of DSI, for their expertise and advice in the research

I also acknowledge my family and friends whose constant encouragement and support has been pivotal to me in the pursuit and completion of this research project

This work is supported by DSI

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Load/Unload Processes for Sub-10-nm Flying Height Sliders – A Simulation Study

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Synopsis

Magnetic data recording technology has evolved to become the most commonly used technology of storing information in computers, digital music players, cameras and other electronic equipment and appliances An areal density of 100Gbit/in2 has been demonstrated and researchers have a common goal of obtaining the areal density of 1Tbit/in2 To achieve this, the allowable physical spacing between the read sensing element (slider) and the disk surface is only approximately 3.5nm

This research focuses on the load/unload (L/UL) processes of sub-10-nm flying height (FH) sliders in magnetic hard disk drives (HDD) Taking into consideration the small spacing margin for L/UL processes, a thorough understanding of the L/UL performance of the slider is required Thus, in this research the Computer Mechanics Laboratory (CML) simulation tool is used to carry out an extensive simulation work to find appropriate operating conditions and slider design for the best L/UL performance

The optimal L/UL processes ensure no slider-disk contact, smooth and short L/UL processes Small lift-off force is also required for the unloading process The L/UL performance of slider is analyzed with respect to vertical L/UL velocities, disk RPM and altitude The vertical L/UL velocities affect L/UL performance most significantly

The effects of the air bearing force (ABF) and the ABF centers at the steady state position on the L/UL performance are studied Better L/UL performance is reached for air bearing surface (ABS) design with negative ABF center nearer to the trailing edge For loading process, it gives smaller degree of oscillation in the pitch direction For unloading process, it shows lower lift-off force but slightly smaller safe range of unloading velocity without slider-disk contact This phenomenon is prominent

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Load/Unload Processes for Sub-10-nm Flying Height Sliders – A Simulation Study

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especially for sub-10-nm FH slider, as a low FH requires small rate of increase of pitch angle during the unloading process to avoid contact A rapid increase in pitch angle results in reduction in minimum FH during unloading process This is overcome using ABS design with smaller positive and negative ABF It gives larger safe range of unloading velocity without slider-disk contact during unloading process, and smaller lift-off force It has negligible effect on loading process

Of the manufacturing tolerances of the head-gimbal assembly (HGA), pitch static attitude (PSA) and roll static attitude (RSA) have the most obvious effects on L/UL processes To widen the PSA and RSA regions that give safe L/UL processes without slider-disk contact, vertical L/UL velocities and slider ABS design are optimized

A higher vertical loading velocity widens the PSA and RSA regions with safe loading processes due to larger squeeze flow effect, but the process is more unstable A medium high loading velocity is proposed for optimal loading performance A higher unloading velocity gives a more rapid increase in pitch angle, which results in contact

at the trailing edge and hence narrows the PSA and RSA regions with safe unloading process Further increase in unloading velocity widens the regions as there is a rapid increase in vertical displacement of the slider However, this results in higher lift-off force A low unloading velocity is recommended for optimal unloading performance

ABS design should be optimized to widen PSA and RSA regions with safe L/UL processes Pads with low ABF near the corners of the trailing edge should be avoided Leading edge pads should be large to develop high positive ABF when pitch angle is negative and high roll moment in desired directions To achieve high negative pitch moment for positive PSA, keep the air bearing pads close to the trailing edge and the cavity depth small The width of trailing edge pads should be minimized

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Load/Unload Processes for Sub-10-nm Flying Height Sliders – A Simulation Study

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List of Publications

1 E.L Kek, Y.S Ma, S.K Sinha, “Sensitivity of load/unload processes to PSA/RSA tolerances for sub-5-nm flying height sliders,” 1st International Conference on Advanced Tribology 2004 (iCAT 2004), Singapore, 1-3 December 2004

2 E.L Kek, Y.S Ma, S.K Sinha, B Liu, “Load/Unload processes for sub-5-nm flying height sliders,” Digests of the IEEE International Magnetics Conference (Intermag 2005), Nagoya, Japan, 4-8 April 2005

3 E.L Kek, Y.S Ma, S.K Sinha, B Liu, “Effects of Air Bearing Force and Centers of Sub-5-nm Flying Height Sliders on Load/Unload Performance of Magnetic Hard Disk Drives: A Simulation Study,” Submitted to Tribology Letters

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Load/Unload Processes for Sub-10-nm Flying Height Sliders – A Simulation Study

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Table of Contents

Acknowledgement i

Synopsis ii

List of Publications iv

Table of Contents v

List of Figures ix

List of Tables xxv

List of Acronyms xxvi

List of Symbols xxvii

Chapter 1 Introduction 1

1.1 Technological advances in HDD 1

1.1.1 Evolution of HDD 1

1.1.2 Evolution from CSS to L/UL system 3

1.1.3 HDI 4

1.2 Dissertation structure 6

1.3 Research objectives 8

Chapter 2 Literature Review 10

2.1 Fundamentals of L/UL processes 10

2.2 Basic requirements for safe and reliable L/UL processes 11

2.3 Parameters that affect L/UL processes 11

2.3.1 Slider ABS design 11

2.3.2 PSA and RSA 12

2.3.3 Vertical L/UL velocities 13

2.3.4 Disk RPM 13

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2.3.5 Gram load 13

2.3.6 Suspension limiters 14

2.3.7 Other important parameters 14

2.4 ABS design considerations for safe and reliable L/UL processes 15

2.5 Numerical simulation studies of L/UL processes 16

2.6 Experimental observations of L/UL processes 16

2.7 Slider and ABS designs for reliable HDI 17

Chapter 3 Load/Unload Mechanisms 21

3.1 Introduction 21

3.2 Loading process 23

3.2.1 Dynamics of loading process 23

3.2.2 Conditions for optimal loading performance 26

3.2.3 Effects of vertical loading velocity on loading performance 27

3.2.4 Effects of disk RPM on loading performance 33

3.2.5 Effects of altitude on loading performance 37

3.3 Unloading process 42

3.3.1 Dynamics of unloading process 42

3.3.2 Conditions for optimal unloading performance 45

3.3.3 Effects of vertical unloading velocity on unloading performance 46

3.3.4 Effects of disk RPM on unloading performance 53

3.3.5 Effects of altitude on unloading performance 58

3.4 Summary 64

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Chapter 4 Air Bearing Surface Design Guidelines 65

4.1 Introduction 65

4.2 Effects of ABF centers of slider on L/UL performance 66

4.2.1 Design conditions 66

4.2.2 Effects of ABF centers on loading performance 69

4.2.3 Effects of ABF centers on unloading performance 73

4.3 Effects of ABF of slider on L/UL performance 81

4.3.1 Design conditions 81

4.3.2 Effects of ABF on loading performance 84

4.3.3 Effects of ABF on unloading performance 87

4.4 Summary 94

Chapter 5 Pitch Static Attitude and Roll Static Attitude Tolerances 95

5.1 Introduction 95

5.2 Effects of PSA and RSA tolerances on the L/UL processes 96

5.2.1 Loading process 96

5.2.2 Unloading process 101

5.3 Optimization of vertical L/UL velocities 106

5.3.1 Loading process 106

5.3.2 Unloading process 109

5.4 Optimization of slider ABS designs 113

5.4.1 Slider ABS designs 113

5.4.2 Loading process 115

5.4.3 Unloading process 132

5.5 Summary 149

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Chapter 6 Discussions 151

Chapter 7 Conclusions and Recommendations for Future Work 156

7.1 Conclusions 156

7.2 Recommendations for Future Work 160

References 161

Appendix A Technical Terminology 171

Appendix B Mathematical Models 177

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List of Figures

Figure 1-1: Areal density roadmap – San Jose Research Center, Hitachi Global Storage

Technologies (HGST) [1] 1

Figure 1-2: Physical spacing and disk surface evolution – San Jose Research Center, Hitachi Global Storage Technologies (HGST) [1] 2

Figure 1-3: Slider and the suspension 4

Figure 1-4: Evolution of ABS form factors – San Jose Research Center, Hitachi Global Storage Technologies (HGST) [1] 4

Figure 1-5: Schematic diagram of the HDI 5

Figure 1-6: Dynamics of L/UL processes [9] 8

Figure 2-1: Schematic diagram of the spaces between the slider and the disk during the unloading process [14] 10

Figure 2-2: Air bearing designs [27] 12

Figure 2-3: Hook limiter and side limiter for the L/UL processes [33] 14

Figure 2-4: Waviness sensitive zone of the ABS design [53] 17

Figure 2-5: ABS design for anti-surface borne particles [58] 18

Figure 2-6: (a) Actuation of the head using a piezoelectric (PZT) unimorph cantilever [67] (b) PZT attached to the back of the slider [70] 20

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Load/Unload Processes for Sub-10-nm Flying Height Sliders – A Simulation Study

Figure 3-4: Pressure distribution (in terms of atmospheric pressure) of the slider during the loading process (a) Time taken=0.0101ms (b) Time taken=0.3ms (c) Time taken=0.79ms (d) Time taken=0.82ms 25

Figure 3-5: Effects of vertical loading velocity on loading performance (a) Maximum oscillation amplitude of minimum FH (b) Maximum oscillation amplitude of pitch angle (c) Minimum pitch angle (d) Maximum oscillation amplitude of roll angle 27

Figure 3-6: Loading process with vertical loading velocity of 265mm/s (a) Maximum oscillation amplitude of minimum FH (b) Maximum oscillation amplitude of pitch angle and minimum pitch angle (c) Maximum oscillation amplitude of roll angle 28

Figure 3-7: Loading process with vertical loading velocity of 185mm/s – Maximum oscillation amplitude of pitch angle and minimum pitch angle 28

Figure 3-8: Loading processes with vertical loading velocity of 65mm/s, 145mm/s and 225mm/s (a) Minimum FH (b) Positive ABF (pABF) and negative ABF (nABF)

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(c) Distance from pivot to ABF center in the x-direction (d) Air bearing pitch moment (e) Pitch angle (f) Distance from pivot to ABF center in the y-direction (g) Air bearing roll moment (h) Roll angle 30

Figure 3-9: Effects of disk RPM on loading performance (a) Maximum oscillation amplitude of minimum FH (b) Maximum oscillation amplitude of pitch angle (c) Minimum pitch angle (d) Maximum oscillation amplitude of roll angle (e) Time taken for the loading process 33

Figure 3-10: Loading processes with disk RPM of 7,200, 10,000 and 12,000 (a) Minimum FH (b) Positive ABF (pABF) and negative ABF (nABF) (c) Distance from pivot to ABF center in the x-direction (d) Air bearing pitch moment (e) Pitch angle (f) Distance from pivot to ABF center in the y-direction (g) Air bearing roll moment (h) Roll angle 36

Figure 3-11: Effects of altitude on loading performance (a) Maximum oscillation amplitude of minimum FH (b) Maximum oscillation amplitude of pitch angle (c) Minimum pitch angle (d) Maximum oscillation amplitude of roll angle (e) Time taken for the loading process 37

Figure 3-12: Loading processes with altitude of 0m and 3000m (a) Minimum FH (b) Positive ABF (pABF) and negative ABF (nABF) (c) Distance from pivot to ABF center in the x-direction (d) Air bearing pitch moment (e) Pitch angle (f) Distance from pivot to ABF center in the y-direction (g) Air bearing roll moment (h) Roll angle 39

Figure 3-13: Schematic diagram of unloading process (a) Stage 1: Dimple closes and limiters open (b) Stage 2: Dimple opens and limiters open (c) Stage 3a: Dimple

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Load/Unload Processes for Sub-10-nm Flying Height Sliders – A Simulation Study

Figure 3-15: Pressure distribution (in terms of atmospheric pressure) of the slider during the unloading process (a) Time taken=0.0101ms (b) Time taken=0.3ms (c) Time taken=0.79ms (d) Time taken=0.82ms 44

Figure 3-16: Effects of vertical unloading velocity on unloading performance (a) off force (b) Maximum oscillation amplitude of minimum FH after lift-off (c) Maximum oscillation amplitude of pitch angle after lift-off (d) Maximum oscillation amplitude of roll angle after lift-off (e) Maximum ramp force (f) Time taken for lift-off 46

Lift-Figure 3-17: Unloading process with vertical unloading velocity of 65mm/s (a) Lift-off force and time taken for lift-off (b) Maximum oscillation amplitude of minimum

FH after lift-off (c) Maximum oscillation amplitude of pitch angle after lift-off (d) Maximum oscillation amplitude of roll angle after lift-off (e) Ramp force 47

Figure 3-18: Unloading processes with vertical unloading velocity of 105mm/s, 185mm/s and 265mm/s (a) Minimum FH (b) Positive ABF (pABF) and negative ABF (nABF) (c) Distance from pivot to ABF center in the x-direction (d) Air bearing pitch moment (e) Pitch angle (f) Roll angle 49

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Figure 3-19: Unloading processes with vertical unloading velocity of 25mm/s, 105mm/s and 185mm/s (a) Minimum FH (b) Positive ABF (pABF) and negative ABF (nABF) (c) Distance from pivot to ABF center in the x-direction (d) Air bearing pitch moment (e) Pitch angle (f) Distance from pivot to ABF center in the y-direction (g) Air bearing roll moment (h) Roll angle 50

Figure 3-20: Analysis for unloading performance with respect to vertical unloading velocity (a) Total ABF (tABF) of unloading processes with vertical unloading velocity of 25mm/s, 65mm/s and 105mm/s (b) Air bearing pitch moment at lift-off (c) Air bearing roll moment at lift-off (d) Magnitude of air bearing roll moment at lift-off 51

Figure 3-21: Effects of disk RPM on unloading performance (a) Lift-off force (b) Maximum oscillation amplitude of minimum FH after lift-off (c) Maximum oscillation amplitude of pitch angle after lift-off (d) Maximum oscillation amplitude of roll angle after lift-off (e) Maximum ramp force (f) Time taken for lift-off 53

Figure 3-22: Unloading processes with disk RPM of 7,200, 10,000 and 12,000 (a) Minimum FH (b) Positive ABF (pABF) and negative ABF (nABF) (c) Distance from pivot to ABF center in the x-direction (d) Air bearing pitch moment (e) Pitch angle (f) Distance from pivot to ABF center in the y-direction (g) Air bearing roll moment (h) Roll angle 56

Figure 3-23: Analysis for unloading performance with respect to disk RPM (a) Total ABF (tABF) of unloading processes with disk RPM of 7,200, 10,000 and 12,000

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Load/Unload Processes for Sub-10-nm Flying Height Sliders – A Simulation Study

Figure 3-25: Unloading processes with altitude of 0m and 3000m (a) Minimum FH (b) Positive ABF (pABF) and negative ABF (nABF) (c) Distance from pivot to ABF center in the x-direction (d) Air bearing pitch moment (e) Pitch angle (f) Distance from pivot to ABF center in the y-direction (g) Air bearing roll moment (h) Roll angle 60

Figure 3-26: Analysis for unloading performance with respect to altitude (a) Total ABF (tABF) of unloading processes with altitude of 0m and 3000m (b) Air bearing pitch moment at lift-off (c) Air bearing roll moment at lift-off 61

Figure 4-1: (a) ABS design of Slider 1-1a (b) Pressure distribution (in terms of atmospheric pressure) of Slider 1-1a (c) ABS design of Slider 1-1b (d) Pressure distribution (in terms of atmospheric pressure) of Slider 1-1b (e) ABS design of Slider 1-1c (f) Pressure distribution (in terms of atmospheric pressure) of Slider 1-1c (Slider 1-1a is the same as Slider 1) 67

Figure 4-2: Effects of ABF centers on loading performance (a) Maximum oscillation amplitude of minimum FH (b) Maximum oscillation amplitude of minimum FH – for vertical loading velocity higher than 185mm/s (c) Maximum oscillation

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Figure 4-4: Effects of ABF centers on unloading performance (a) Lift-off force (b) Maximum oscillation amplitude of minimum FH after lift-off (c) Maximum oscillation amplitude of pitch angle after lift-off (d) Maximum oscillation amplitude of roll angle after lift-off (e) Maximum ramp force (f) Time taken for lift-off 73

Figure 4-5: Unloading processes for Slider 1-1a, Slider 1-1b and Slider 1-1c with vertical unloading velocity of 265mm/s (a) Minimum FH (b) Positive ABF (pABF) and negative ABF (nABF) (c) Distance from pivot to ABF center in the x-direction (d) Air bearing pitch moment (e) Pitch angle (f) Distance from pivot

to ABF center in the y-direction (g) Air bearing roll moment (h) Roll angle 75

Figure 4-6: Analysis for unloading performance (a) Total ABF (tABF) of unloading processes for Slider 1-1a, Slider 1-1b and Slider 1-1c with vertical unloading velocity of 65mm/s (b) Air bearing pitch moment at lift-off for Slider 1-1a, Slider 1-1b and Slider 1-1c with respect to vertical unloading velocity 76

Figure 4-7: (a) ABS design of Slider 1-2a (b) Pressure distribution (in terms of atmospheric pressure) of Slider 1-2a (c) ABS design of Slider 1-2b (d) Pressure

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distribution (in terms of atmospheric pressure) of Slider 1-2b (e) ABS design of Slider 1-2c (f) Pressure distribution (in terms of atmospheric pressure) of Slider 1-2c (Slider 1-2b is the same as Slider 1) 82

Figure 4-8: Effects of ABF on loading performance (a) Maximum oscillation amplitude of minimum FH (b) Maximum oscillation amplitude of minimum FH – for vertical loading velocity higher than 185mm/s (c) Maximum oscillation amplitude of pitch angle (d) Minimum pitch angle (e) Maximum oscillation amplitude of roll angle (f) Time taken for the loading process 84

Figure 4-9: Loading processes for Slider 1-2a, Slider 1-2b and Slider 1-2c with vertical loading velocity of 265mm/s (a) Minimum FH (b) Positive ABF (pABF) and negative ABF (nABF) (c) Distance from pivot to ABF center in the x-direction (d) Air bearing pitch moment (e) Pitch angle (f) Distance from pivot to ABF center in the y-direction (g) Air bearing roll moment (h) Roll angle 86

Figure 4-10: Effects of ABF on unloading performance (a) Lift-off force (b) Maximum oscillation amplitude of minimum FH after lift-off (c) Maximum oscillation amplitude of pitch angle after lift-off (d) Maximum oscillation amplitude of roll angle after lift-off (e) Maximum ramp force (f) Time taken for lift-off 87

Figure 4-11: Unloading processes for Slider 1-2a, Slider 1-2b and Slider 1-2c with vertical unloading velocity of 225mm/s (a) Minimum FH (b) Positive ABF (pABF) and negative ABF (nABF) (c) Distance from pivot to ABF center in the x-direction (d) Air bearing pitch moment (e) Pitch angle (f) Distance from pivot

to ABF center in the y-direction (g) Air bearing roll moment (h) Roll angle 89

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Figure 4-12: Analysis for unloading performance (a) Total ABF (tABF) of unloading processes for Slider 1-2a, Slider 1-2b and Slider 1-2c with vertical unloading velocity of 65mm/s (b) Air bearing pitch moment at lift-off for Slider 1-2a, Slider 1-2b and Slider 1-2c with respect to vertical unloading velocity 90

Figure 5-1: Loading processes with PSA of -0.1°, 0.0°, 0.5° and 1.0° and RSA of 0° (a) Minimum FH (b) Positive ABF (pABF) and negative ABF (nABF) (c) Distance from pivot to pABF in x-direction (d) Distance from pivot to nABF in x-direction (e) Air bearing pitch moment (f) Pitch angle with respect to FH (g) Pitch angle with respect to time 98

Figure 5-2: Loading processes with PSA of 0.5° and RSA of -0.5°, -0.4°, 0.0° and 0.5° (a) Minimum FH (b) Positive ABF (pABF) and negative ABF (nABF) (c) Distance from pivot to ABF center in the y-direction (d) Air bearing roll moment (e) Roll angle 99

Figure 5-3: Unloading processes with PSA of -0.1°, 0.0°, 0.5° and 1.0° and RSA of 0° (a) Minimum FH (b) Positive ABF (pABF) and negative ABF (nABF) (c) Total ABF (tABF) (d) Distance from pivot to ABF center in the x-direction (e) Air bearing pitch moment (f) Pitch angle 102

Figure 5-4: Unloading processes with PSA of 0.5° and RSA of -0.4°, -0.3°, 0.0° and 0.2° (a) Minimum FH (b) Positive ABF (pABF) and negative ABF (nABF) (c) Total ABF (tABF) (d) Distance from pivot to ABF center in the y-direction (e) Air bearing roll moment (f) Roll angle 104

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Figure 5-5: Effects of vertical loading velocity on PSA and RSA regions that show safe loading processes with no slider-disk contact (a) PSA region while RSA is 0° (b) RSA region while PSA is 0.5° 106

Figure 5-6: Loading processes for vertical loading velocity of 25mm/s, 65mm/s and 105mm/s with PSA of 0.5° and RSA of 0.7° (a) Minimum FH (b) Positive ABF (pABF) and negative ABF (nABF) (c) Distance from pivot to ABF center in the x-direction (d) Air bearing pitch moment (e) Pitch angle (f) Distance from pivot

to ABF center in the y-direction (g) Air bearing roll moment (h) Roll angle 108

Figure 5-7: Effects of vertical unloading velocity on PSA and RSA regions that show safe unloading processes with no slider-disk contact (a) PSA region while RSA is 0° (b) RSA region while PSA is 0.5° 109

Figure 5-8: Unloading processes for vertical unloading velocity of 25mm/s, 65mm/s and 105mm/s with PSA of 0.5° and RSA of -0.4° (a) Minimum FH (b) Positive ABF (pABF) and negative ABF (nABF) (c) Distance from pivot to ABF center in x-direction (d) Air bearing pitch moment (e) Pitch angle (f) Distance from pivot

to ABF center in y-direction (g) Air bearing roll moment (h) Roll angle 111

Figure 5-9: Slider 2 (a) ABS design (b) Pressure distribution in terms of atmospheric pressure 113

Figure 5-10: Slider 3 (a) ABS design (b) Pressure distribution in terms of atmospheric pressure 114

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Figure 5-11: Slider 2-1 (a) ABS design (b) Pressure distribution in terms of atmospheric pressure – Slider 2-1 has no pad at the corners of the trailing edge as compared to Slider 2 117

Figure 5-12: Effects of ABS designs (Slider 2 and Slider 2-1) on PSA and RSA regions that show safe loading processes with no slider-disk contact (a) PSA region while RSA is 0° (b) RSA region while PSA is 0.5° 117

Figure 5-13: Loading processes with PSA 0.5° and RSA -0.6° for Slider 2 and Slider 2-1 (a) Minimum FH (b) Positive ABF (pABF) and negative ABF (nABF) (c) Distance from pivot to ABF center in x-direction (d) Distance from pivot to ABF center in y-direction (e) Air bearing pitch moment (f) Pitch angle (g) Air bearing roll moment (h) Roll angle 119

Figure 5-14: Slider 2-2 (a) ABS design (b) Pressure distribution in terms of atmospheric pressure – Slider 2-2 has larger leading edge pad size as compared to Slider 2-1 120

Figure 5-15: Effects of ABS designs (Slider 2-1 and Slider 2-2) on PSA and RSA regions that show safe loading processes with no slider-disk contact (a) PSA region while RSA is 0° (b) RSA region while PSA is 0.5° 120

Figure 5-16: Loading processes for Slider 2-1 and Slider 2-2 with PSA of 0.0° and RSA of 0.0° (a) Minimum FH (b) Positive ABF (pABF) and negative ABF (nABF) (c) Distance from pivot to ABF center in the x-direction (d) Air bearing pitch moment (e) Pitch angle 122

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Figure 5-17: Slider 1-3 (a) ABS design (b) Pressure distribution in terms of atmospheric pressure – Slider 1-3 has larger leading edge pads as compared to Slider 1 123

Figure 5-18: Slider 1-4 (a) ABS design (b) Pressure distribution in terms of atmospheric pressure – Slider 1-4 has larger side pads with smaller recess as compared to Slider 1 123

Figure 5-19: Slider 1-5 (a) ABS design (b) Pressure distribution in terms of atmospheric pressure – Slider 1-5 has larger leading edge pads and larger side pads with smaller recess as compared to Slider 1 124

Figure 5-20: Effects of ABS designs (Slider 1, Slider 1-3, Slider 1-4 and Slider 1-5) on PSA and RSA regions that show safe loading processes with no slider-disk contact (a) PSA region while RSA is 0° (b) RSA region while PSA is 0.5° 124

Figure 5-21: Loading processes for Slider 1, Slider 1-3, Slider 1-4 and Slider 1-5 with PSA of 0.5° and RSA of -0.5° (a) Minimum FH (b) Positive ABF (pABF) and negative ABF (nABF) (c) Distance from pivot to ABF center in x-direction (d) Distance from pivot to ABF center in y-direction (e) Air bearing pitch moment (f) Pitch angle (g) Air bearing roll moment (h) Roll angle 127

Figure 5-22: Slider 3-1 (a) ABS design (b) Pressure distribution in terms of atmospheric pressure – Slider 3-1 has air bearing pads which are nearer to the trailing edge as compared to Slider 3 128

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Figure 5-23: Slider 3-2 (a) ABS design (b) Pressure distribution in terms of atmospheric pressure – Slider 3-2 has a smaller cavity depth as compared to Slider 3 128

Figure 5-24: Effects of ABS designs (Slider 3, Slider 3-1 and Slider 3-2) on PSA and RSA regions that show safe loading processes with no slider-disk contact (a) PSA region while RSA is 0° (b) RSA region while PSA is 0.5° 129

Figure 5-25: Loading processes for Slider 3, Slider 3-1 and Slider 3-2 with PSA of 0.5° and RSA of 0.9° (a) Minimum FH (b) Positive ABF (pABF) and negative ABF (nABF) (c) Distance from pivot to ABF center in x-direction (d) Distance from pivot to ABF center in y-direction (e) Air bearing pitch moment (f) Pitch angle (g) Air bearing roll moment (h) Roll angle 130

Figure 5-26: Effects of ABS designs (Slider 2 and Slider 2-1) on PSA and RSA regions that show safe unloading processes with no slider-disk contact (a) PSA region while RSA is 0° (b) RSA region while PSA is 0.5° 134

Figure 5-27: Unloading processes for Slider 2 and Slider 2-1 with PSA of 0.5° and RSA of -0.3° (a) Minimum FH (b) Positive ABF (pABF) and negative ABF (nABF) (c) Distance from pivot to ABF center in the x-direction (d) Air bearing pitch moment (e) Pitch angle (f) Distance from pivot to ABF center in the y-direction (g) Air bearing roll moment (h) Roll angle 135

Figure 5-28: Effects of ABS designs (Slider 2-1 and Slider 2-2) on PSA and RSA regions that show safe unloading processes with no slider-disk contact (a) PSA region while RSA is 0° (b) RSA region while PSA is 0.5° 136

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Load/Unload Processes for Sub-10-nm Flying Height Sliders – A Simulation Study

xxii

Figure 5-29: Unloading processes for Slider 2-1 and Slider 2-2 with PSA of 0.5° and RSA of -0.4° (a) Minimum FH (b) Positive ABF (pABF) and negative ABF (nABF) (c) Distance from pivot to ABF center in the x-direction (d) Air bearing pitch moment (e) Pitch angle (f) Distance from pivot to ABF center in the y-direction (g) Air bearing roll moment (h) Roll angle 138

Figure 5-30: Effects of ABS designs (Slider 1, Slider 1-3, Slider 1-4 and Slider 1-5) on PSA and RSA regions that show safe unloading processes with no slider-disk contact (a) PSA region while RSA is 0° (b) RSA region while PSA is 0.5° 139

Figure 5-31: Unloading processes for Slider 1, Slider 1-3, Slider 1-4 and Slider 1-5 with PSA of 0.5° and RSA of -0.4° (a) Minimum FH (b) Positive ABF (pABF) and negative ABF (nABF) (c) Distance from pivot to ABF center in the x-direction (d) Air bearing pitch moment (e) Pitch angle (f) Distance from pivot to ABF center in the y-direction (g) Air bearing roll moment (h) Roll angle 141

Figure 5-32: Effects of ABS designs (Slider 3, Slider 3-1 and Slider 3-2) on PSA and RSA regions that show safe unloading processes with no slider-disk contact (a) PSA region while RSA is 0° (b) RSA region while PSA is 0.5° 142

Figure 5-33: Unloading processes for Slider 3, Slider 3-1 and Slider 3-2 with PSA of 0.5° and RSA of -0.1° (a) Minimum FH (b) Positive ABF (pABF) and negative ABF (nABF) (c) Distance from pivot to ABF center in the x-direction (d) Air bearing pitch moment (e) Pitch angle 143

Figure 5-34: Unloading processes for Slider 3, Slider 3-1 and Slider 3-2 with PSA of 0.5° and RSA of -0.1° (a) Distance from pivot to positive ABF (pABF) center in

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Load/Unload Processes for Sub-10-nm Flying Height Sliders – A Simulation Study

Figure 5-36: Slider 2-4 (a) ABS design (b) Pressure distribution in terms of atmospheric pressure – Slider 2-4 has a super sub-shallow pads with 5nm recess

as compared with Slider 2-2 145

Figure 5-37: Effects of ABS designs (Slider 2-2, Slider 2-3 and Slider 2-4) on PSA and RSA regions that show safe unloading processes with no slider-disk contact (a) PSA region while RSA is 0° (b) RSA region while PSA is 0.5° 146

Figure 5-38: Unloading processes for Slider 2-2, Slider 2-3 and Slider 2-4 with PSA of 0.5° and RSA of 0.5° (a) Minimum FH (b) Positive ABF (pABF) and negative ABF (nABF) (c) Distance from pivot to positive ABF (pABF) center in the x-direction (d) Distance from pivot to negative ABF (nABF) center in the x-direction (e) Air bearing pitch moment (e) Pitch angle 147

Figure 5-39: Unloading processes for Slider 2-2, Slider 2-3 and Slider 2-4 with PSA of 0.5° and RSA of 0.5° (a) Distance from pivot to positive ABF (pABF) center in the y-direction (b) Distance from pivot to negative ABF (nABF) center in the y-direction (c) Air bearing roll moment (d) Roll angle 148

Figure A-1: Pitch and roll angles of the slider 173

Figure A-2: Typical suspension at unloaded state with positive PSA 173

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Load/Unload Processes for Sub-10-nm Flying Height Sliders – A Simulation Study

xxiv

Figure A-3: Schematic of fluid flow 174

Figure A-4: Skew angle 175

Figure B-1: Schematic drawing of the slider 179

Figure B-2: Schematic drawing of a suspension 182

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Load/Unload Processes for Sub-10-nm Flying Height Sliders – A Simulation Study

xxv

List of Tables

Table 3-1: Initial nominal FH of slider for the respective vertical loading velocity 27

Table 3-2: Effects of vertical loading velocity, disk RPM and altitude on loading performance 40

Table 3-3: Effects of vertical unloading velocity, disk RPM and altitude on unloading performance 62

Table 4-1: Static results for Slider 1-1a, Slider 1-1b and Slider 1-1c 68

Table 4-2: Effects of ABF center on loading performance 78

Table 4-3: Effects of ABF center on unloading performance 79

Table 4-4: Static results for Slider 1-2a, Slider 1-2b and Slider 1-2c 83

Table 4-5: Effects of ABF on loading performance 91

Table 4-6: Effects of ABF on unloading performance 92

Table 5-1: Summary of ABS design issues and considerations for loading process 115

Table 5-2: Summary of ABS design issues and considerations for unloading process 132

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Load/Unload Processes for Sub-10-nm Flying Height Sliders – A Simulation Study

xxvi

List of Acronyms

ABF Air Bearing Force

ABS Air Bearing Surface

CML Computer Mechanics Laboratory

CSS Contact Start-Stop

HDI Head-Disk Interface

HGA Head-Gimbal Assembly

PSA Pitch Static Attitude

RAMAC Random Access Memory Accounting Machine

RSA Roll Static Attitude

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Load/Unload Processes for Sub-10-nm Flying Height Sliders – A Simulation Study

xxvii

List of Symbols

a Initial acceleration

cz Damping coefficient of the suspension in the vertical direction

cθ Damping coefficient of the suspension in the pitch direction

cβ Damping coefficient of the suspension in the roll direction

Fca Contact force in the z-direction

Fci Impact force in the z-direction

Fl Force applied by the ramp

Fs Suspension force in the z-direction

fθ Measured slider pitch frequency in the free state with a closed dimple

fβ Measured slider roll frequency in the free state with a closed dimple

h Air bearing thickness

Iθ Moment of inertia of the slider in the pitch direction

Iβ Moment of inertia of the slider in the roll direction

kθ1 Calculated suspension stiffness in the pitch direction in the free state

kβ1 Calculated suspension stiffness in the roll direction in the free state

Mcaθ Contact moment in the pitch direction

Mcaβ Contact moment in the roll direction

Mciθ Impact moment in the pitch direction

Mciβ Impact moment in the roll direction

Msθ Suspension moment in the pitch direction

Msβ Suspension moment in the roll direction

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Load/Unload Processes for Sub-10-nm Flying Height Sliders – A Simulation Study

xxviii

p Air bearing pressure

Q Modification function to account for the gaseous rarefaction effects

U Sliding velocity in the x-direction

V Sliding velocity in the y-direction

z Vertical displacement at the slider’s center

zl Displacement at the tab

zro Initial ramp height

µ Viscosity of the gas

λ Mean free path of the gas molecules

θ Pitch angle of slider

β Roll angle of slider

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Figure 1-1: Areal density roadmap – San Jose Research Center, Hitachi Global

Storage Technologies (HGST) [1]

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Chapter 1 Introduction

2

This industry began with IBM’s Random Access Memory Accounting Machine (RAMAC) in 1957 It consisted of 50 magnetic disks of 24-inch in diameter and rotating at 1,200 RPM The storage capacity of this system was 5MB In 1992, the magnetic HDD had a capacity of 100MB, which increased to 1.2GB by 1996 The demand for greater capacity requires the need to increase the areal density The areal density has increased at a rate of greater than 60% annually in the late 90’s, thereby exceeding Moore’s Law Figure 1-1 shows the evolution of HDD in terms of areal density over the years

Figure 1-2: Physical spacing and disk surface evolution – San Jose Research

Center, Hitachi Global Storage Technologies (HGST) [1]

An areal density of 100Gbit/in2 has been demonstrated [2] and academic and industry researchers have a common goal of obtaining the areal density of 1Tbit/in2 An increase in the areal density requires a reduction in the head to media spacing This allows the fields created during the read/write processes to be focused into a smaller space To achieve an areal density of 1Tbit/in2, a magnetic spacing of 6.5nm is required [3] As the magnetic spacing is inclusive of the protective overcoat of the

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Chapter 1 Introduction

3

transducer and the disk surface as well as the lubricant layer, the physical spacing between the transducer and the disk surface is only approximately 3.5nm Figure 1-2 shows the change in the physical spacing over the years

1.1.2 Evolution from CSS to L/UL system

The contact start-stop (CSS) technology has been the mainstream design in HDD industry since the introduction of Winchester drives 20 years ago In the CSS drive, the slider is parked at the ‘landing zone’ of the disk when the drive is not in operation The slider stays at the landing zone during spinning up and spinning down and moves to the data zone only when the disk RPM reaches the operating condition In order to reduce stiction between the slider and the disk, texture zone, a regular pattern of bumps created with a laser device, is introduced at the landing zone of the disk This results in higher head-disk separation and therefore lower areal density Slider with low FH at the texture zone produces high contact force between the slider and the disk, generating wear debris, which degrades the head-disk interface (HDI)

Due to these inevitable disadvantages of CSS technology, the dynamic load/unload (L/UL) approach has gained attention in the recent years It shows great potential for future high performance drives for avoiding slider-disk wear and stiction L/UL technology gives improved reliability, increased areal density and reduced power consumption as compared to CSS technology [4-5] However, the problems of slider-disk contacts at the HDI still exist during the load and unload operations There are many ways to achieve optimal L/UL processes as there are many design parameters, such as the slider air bearing surface (ABS) designs, L/UL operating parameters and suspension parameters

The L/UL technology will be explained in greater details in the later chapters

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Chapter 1 Introduction

4

1.1.3 HDI

Figure 1-3: Slider and the suspension

The read/write heads are integrated with the slider and the slider is attached to one end

of the suspension The suspension consists of leaf-springs, which are referred to as load beam and gimbal The slider is attached to the gimbal This is as shown in Figure 1-3 The other end of the suspension is attached to the actuator arm The actuator arm

is mounted to a ball bearing pivot structure in the drive case The voice coil motor drives the rotation of the arm about the pivot

Figure 1-4: Evolution of ABS form factors – San Jose Research Center, Hitachi

Global Storage Technologies (HGST) [1]

Load beam

Slider Dimple

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Chapter 1 Introduction

5

At the HDI, the air rotating with the disk is entrained between the disk and the slider aerodynamic surfaces resulting in an air bearing The ABS, which is obtained by sculpting the underside of the slider, is designed to develop a hydrodynamic force to maintain an adequate spacing between the slider and the disk surface The ABS form factor, or dimensions of the ABS, has changed over the years from the mini-slider to the femto-slider [6] This is shown in Figure 1-4

Figure 1-5: Schematic diagram of the HDI

The four edges of the slider, trailing and leading edges as well as inner and outer rails are defined in Figure 1-5

Outer rail

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Chapter 2 gives the existing research findings in the fields of L/UL technology and slider ABS design In the later chapters, comparisons between these findings and the simulation results are made

Chapter 3 elaborates on the dynamics of the L/UL processes and the conditions for optimal L/UL performance The L/UL performance of the slider is analyzed with respect to the operating conditions including the vertical L/UL velocities, disk RPM and altitude

Chapter 4 discusses the ABS design guidelines for sub-10-nm flying height (FH) slider The effects of the magnitudes of positive and negative air bearing force (ABF) and positions of positive and negative ABF centers on the L/UL performance are studied with respect to the vertical L/UL velocities

Chapter 5 analyzes the effects of head-gimbal assembly (HGA) manufacturing tolerances on L/UL processes The study is carried out to widen the pitch static attitude (PSA) and roll static attitude (RSA) regions that give safe L/UL processes without slider-disk contact This is achieved through optimizing the vertical L/UL velocities and the ABS design

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Chapter 1 Introduction

7

Chapter 6 discusses the findings from the numerical simulations and explains how the results can be implemented in the design of L/UL systems

Chapter 7 concludes the research and provides recommendations for future work

Appendix A and Appendix B explain the technical terminologies that are used and the mathematical models of the Computer Mechanics Laboratory (CML) simulator that

is employed in this research [7-8]

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Chapter 1 Introduction

8

1.3 Research objectives

Figure 1-6: Dynamics of L/UL processes [9]

L/UL technology isolates the read/write heads from the disk surface when they are not executing read or write instructions, as they are resting on the ramp, as shown in Figure 1-6 This is in contrast to the CSS technology in which the slider rests on the

‘landing zone’ during non-operation of the HDD For loading process, the heads are loaded from the ramps onto established air bearings after the disk is spun up For unloading process, before the disk is spun down, the heads are unloaded on the ramp The locking mechanism of the actuator secure the heads in the unload position

The rapid increase of areal density of magnetic HDD requires the slider to load to 10-nm FH within a tight spacing margin The motion of the slider is determined by the dynamics of the suspension and the gimbal, together with the air flow between the slider and the disk At low FH, a small pitch or roll angle of the slider results in slider-disk contacts and it is therefore essential to have a good understanding of the FH and attitudes changes of the slider at the HDI, under different operating conditions

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sub-Chapter 1 Introduction

9

Optimal L/UL performance is characterized by no slider-disk contact, smooth and short L/UL processes In addition, small lift-off force is required for the unloading process

In this research, the L/UL performance of sub-10-nm FH sliders is studied using the CML numerical simulator Analysis is done to have greater understanding and control

of the parameters that affect L/UL processes The following aspects are studied

1 Effects of operating conditions and ABS design on L/UL performance

2 Effects of manufacturing tolerances of HGA on L/UL processes

• Effects of vertical L/UL velocities and ABS design on PSA and RSA regions that give safe L/UL processes without slider-disk contact

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Chapter 2

Literature Review

2.1 Fundamentals of L/UL processes

The L/UL processes of relatively large FH sliders have been extensively studied through the use of numerical simulation tools and experimental observations

During the L/UL processes, the positive and negative ABF that build up between the slider and the disk develop due to squeeze flow effect and shear flow effect [7, 10-12] Rapid development of the ABF provides the cushioning effect, which prevents slider-disk contact, during the loading process For the unloading process, the rate of reduction of the positive and negative ABF determines the lift-off force When the magnitude of the lift-off force is large, it results in large dimple separation and may cause gimbal damage [13] Figure 2-1 shows the dimple separation during the unloading process This is the gap between the dimple and the slider when the gimbal deflects The dimple is defined in Figure 1-3

Figure 2-1: Schematic diagram of the spaces between the slider and the disk

during the unloading process [14]

Ngày đăng: 10/11/2015, 11:00

Nguồn tham khảo

Tài liệu tham khảo Loại Chi tiết
[2] D.B. Bogy, W. Fong, B.H. Thornton, H. Zhu, H.M. Gross and C.B. Singh, “Some tribology and mechanics issues for 100-Gb/in 2 hard disk drive,” IEEE Transactions on Magnetics, Vol. 38, No. 5, 2002, pp. 1879-1885 Sách, tạp chí
Tiêu đề: Some tribology and mechanics issues for 100-Gb/in2 hard disk drive
[3] R. Wood, “The feasibility of magnetic recording at 1 terabit per square inch,” IEEE Transactions on Magnetics,” Vol. 36, No. 1, 2000, pp. 36-42 Sách, tạp chí
Tiêu đề: The feasibility of magnetic recording at 1 terabit per square inch,” IEEE Transactions on Magnetics
[4] M. Suk and T.R. Albrecht, “The evolution of load/unload technology,” Microsystem Technologies 8, 2002, pp. 10-16 Sách, tạp chí
Tiêu đề: The evolution of load/unload technology
[5] T.R. Albrecht and F. Sai, “Load/Unload technology for disk drives,” IEEE Transactions on Magnetics, Vol. 35, No. 2, 1999, pp. 857-862 Sách, tạp chí
Tiêu đề: Load/Unload technology for disk drives
[6] L. Dorius, S. Bolasna, J. Kotla, R. Simmons, Y. Iihara, T. Matsumoto, A. Tobari and H. Tsuchida, “Introduction of femto slider in mobile disk drives,” IEEE Transactions on Magnetics, Vol. 40, No. 1, 2004, pp. 349-352 Sách, tạp chí
Tiêu đề: Introduction of femto slider in mobile disk drives
Tác giả: L. Dorius, S. Bolasna, J. Kotla, R. Simmons, Y. Iihara, T. Matsumoto, A. Tobari, H. Tsuchida
Nhà XB: IEEE Transactions on Magnetics
Năm: 2004
[7] Q.H. Zeng and D.B. Bogy, “A simplified 4-dof suspension model for dynamic load/unload simulation and its application,” ASME Journal of Tribology, Vol.122, 2000, pp. 274-279 Sách, tạp chí
Tiêu đề: A simplified 4-dof suspension model for dynamic load/unload simulation and its application
[8] Q.H. Zeng and D.B. Bogy, “The CML Dynamic Load/Unload Simulator,” Version 421.40, Computer Mechanics Laboratory, Department of Mechanical Engineering, University of California, Berkeley Sách, tạp chí
Tiêu đề: The CML Dynamic Load/Unload Simulator
[10] Bharat Bhushan, “Tribology and mechanics of magnetic storage devices,” Second Edition (Spring, New York) Sách, tạp chí
Tiêu đề: Tribology and mechanics of magnetic storage devices
[11] Y. Hu, “Ramp-load dynamics of proximity recording air bearing sliders in magnetic hard disk drive,” ASME Journal of Tribology, Vol. 121, 1999, pp. 560- 567 Sách, tạp chí
Tiêu đề: Ramp-load dynamics of proximity recording air bearing sliders in magnetic hard disk drive
Tác giả: Y. Hu
Nhà XB: ASME Journal of Tribology
Năm: 1999
[12] T.G. Jeong and D.B. Bogy, “Numerical simulation of dynamic loading in hard disk drives,” Transactions of the ASME, Vol. 115, 1993, pp. 370-375 Sách, tạp chí
Tiêu đề: Numerical simulation of dynamic loading in hard disk drives
[13] H. Tanaka, H. Kohira and M. Matsumoto, “Effects of air-bearing design on slider dynamics during unloading process,” IEEE Transactions on Magnetics, Vol. 37, No. 4, 2001, pp. 1818-1820 Sách, tạp chí
Tiêu đề: Effects of air-bearing design on slider dynamics during unloading process
[14] G. Sheng, Q. Chen, W. Hua and B. Liu, “An experimental study of dimple separations and head-disk impacts of negative pressure slider in unload process,” IEEE Transactions on Magnetics, Vol. 37, No. 4, 2001, pp. 1859-1862 Sách, tạp chí
Tiêu đề: An experimental study of dimple separations and head-disk impacts of negative pressure slider in unload process
Tác giả: G. Sheng, Q. Chen, W. Hua, B. Liu
Nhà XB: IEEE Transactions on Magnetics
Năm: 2001
[15] K.S. Park, J.I. Chun, Y.H. Lee, N.C. Park, H.S. Yang, Y.P. Park, “Improvement of loading/unloading performance using control input position and considering disk vibration characteristics,” IEEE Transactions on Magnetics, Vol. 41, No. 2, 2005, pp. 819-824 Sách, tạp chí
Tiêu đề: Improvement of loading/unloading performance using control input position and considering disk vibration characteristics
[16] Y. Man, B. Liu and Y. Ma, “A novel method for the study of slider-disk interaction in high performance disk drives,” Journal of Applied Physics, Vol.91, No. 10, pp. 8331-8333 Sách, tạp chí
Tiêu đề: A novel method for the study of slider-disk interaction in high performance disk drives
[18] S. Yonemura, S. Weissner, L. Zhou and F.E. Talke, “Investigation of disk damage caused during load/unload using a surface reflectance analyzer,”Tribology International 38, 2005, pp. 81-87 Sách, tạp chí
Tiêu đề: Investigation of disk damage caused during load/unload using a surface reflectance analyzer
Tác giả: S. Yonemura, S. Weissner, L. Zhou, F.E. Talke
Nhà XB: Tribology International
Năm: 2005
[19] M. Suk and D. Jen, “Potential data loss due to head/disk contacts during dynamic load/unload,” IEEE Transactions on Magnetics, Vol. 34, No. 4, 1998, pp. 1711-1713 Sách, tạp chí
Tiêu đề: Potential data loss due to head/disk contacts during dynamic load/unload
Tác giả: M. Suk, D. Jen
Nhà XB: IEEE Transactions on Magnetics
Năm: 1998
[20] M. Shoda and H. Tani, “Catastrophic damages on magnetic recording disk caused by slider-disk contacts during loading/unloading,” IEEE Transactions on Magnetics, Vol. 39, No. 1, 2003, pp. 893-897 Sách, tạp chí
Tiêu đề: Catastrophic damages on magnetic recording disk caused by slider-disk contacts during loading/unloading
[21] Z. Yuan, B. Liu, J. Wang and J. Ding, “Flash temperature induced magnetic degradation in high density magnetic recording,” Journal of Applied Physics, Vol. 87, No. 9, 2000, pp. 6158-6160 Sách, tạp chí
Tiêu đề: Flash temperature induced magnetic degradation in high density magnetic recording
[22] B. Liu, Y. Man and W. Zhang, “Slider-disk interaction and tribologically induced signal decay,” Journal of Magnetism and Magnetic Materials 239, 2002, pp. 378-384 Sách, tạp chí
Tiêu đề: Slider-disk interaction and tribologically induced signal decay
Tác giả: B. Liu, Y. Man, W. Zhang
Nhà XB: Journal of Magnetism and Magnetic Materials
Năm: 2002
[23] J. Wang, Z. Yuan, B. Liu and J. Ding, “Influence of different substrates on potential magnetic degradation during slider-disk impact,” IEEE Transactions on Magnetics, Vol. 36, No. 5, 2000, pp. 2686-2688 Sách, tạp chí
Tiêu đề: Influence of different substrates on potential magnetic degradation during slider-disk impact

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