A nonlinear rheological model for the ultrasonically induced squeeze film effect in variable friction haptic displays

Kwon Joong Son

Korea-Australia Rheology Journal, Vol.29, No.3, 219-228, August, 2017

DOI10.1007/s13367-017-0023-1 Export Citation

A nonlinear rheological model for the ultrasonically induced squeeze film effect in variable friction haptic displays

Kwon Joong Son^†

Department of Mechanical and Design Engineering, Hongik University, 2639, Sejong-ro, Jochiwon-eup, Sejong 30016, Republic of Korea

E-mail:

A squeeze film induced by ultrasonic vibration between two solid surfaces in contact can dramatically reduce the friction between them. This phenomenon, so-called the squeeze film effect, has been utilized in variable friction tactile displays for texture rendering purposes. Such tactile displays can provoke a haptic sensation to a finger pad in a controllable way. A real-time adjustment of the coefficient of lateral friction between the human finger pad and the tactile display can be accomplished by modulating the vibration amplitude of the tactile panel. Therefore, driving a reliable friction model is a key step towards designing and controlling tactile displays utilizing the squeeze film effect. This paper derives a modified Herschel- Bulkley rheological model to express the lateral friction exerted on a human fingertip via an air squeeze film as a function of the operating parameters such as the driving voltage amplitude, the finger sliding speed, and the contact pressure. In contrast to the conventional Coulomb friction model, such a rheology model can account for the sliding velocity dependence. This modeling work may contribute to the optimal control of the ultrasonic variable friction tactile displays.

Keywords:tactile display;squeeze film;Herschel-Bulkley model;variable friction;ultrasonic vibration

[References]

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Adams MJ, Briscoe BJ, Johnson SA, Tribol. Lett., 26, 239 (2007)
Adams MJ, Johnson SA, Lefevre P, Levesque V, Hayward V, Andre T, Thonnard JL, J. R. Soc. Interface, 10, 201204 (2013)
Andre T, Lefevre P, Thonnard JL, J. Neurosci. Methods, 179, 224 (2009)
Biet M, Giraud F, Lemaire-Semail B, IEEE Trans. Ultrason. Ferroelectr. Freq. Control, 54, 2678 (2007)
Childs THC, Henson B, Proc. Inst. Mech. Eng. J J. Eng. Tribol., 221, 427 (2007)
Derler S, Gerhardt LC, Lenz A, Bertaux E, Hadad M, Tribol. Int., 42, 1565 (2009)
Engmann J, Servais C, Burbidge AS, J. Non-Newton. Fluid Mech., 132(1-3), 1 (2005)
Farjoud A, Vahdati N, Fah YF, J. Intell. Mater. Syst. Struct., 19, 565 (2007)
Marchuk ND, Colgate JE, Peshkin MA, 2010, Friction measurements on a large area TPaD, Proc. IEEE Haptics Symp., Waltham, MA, USA, 217-320.
Mullenbach J, Shultz C, Colgate JE, 2014, Exploring affective communication through variable-friction surface haptics, Proc. ACM Comput.-Hum. Interact., Toronto, ON, Canada, 3963-3972.
Sednaoui T, Vezzoli E, Dzidek B, Lemaire-Semail B, Chappaz C, Adams M, 2015, Experimental evaluation of friction reduction in ultrasonic devices, Proc. IEEE World Haptics Conf., Evanston, Il, USA, 37-42.
Son KJ, Fahrenthold EP, Smart Mater. Struct., 21, 075012 (2012)
Son KJ, Kim M, Kim K, 2013, Analytical modeling of disk-type piezoelectric variable friction tactile displays, Proc. IEEE/ASME Int. Conf. Adv. Intell. Mechatron., 1725-1730.
Son KJ, Kartik V, Wickert JA, Sitti M, J. Vib. Control, 12, 1293 (2006)
Vezzoli E, Dzidek B, Sednaoui T, Giraud F, Adams M, Lemaire-Semail B, 2015, Role of fingerprint mechanics and non- Coulombic friction in ultrasonic devices, Proc. IEEE World Haptics Conf., Evanston, Il, USA, 43-48.
Watanabe T, Fukui S, 1995, A method for controlling tactile sensation of surface roughness using ultrasonic vibration, Proc. IEEE Int. Conf. Rob. Autom., 1133-1139.
Winfield L, Glassmire J, Colgate JE, Peshkin M, 2007, Tsukaba, Japan, 43-48.
Winter C, Markovic M, Perriard Y, IEEE Trans. Ind. Appl., 50, 1809 (2014)

[Referenced By]

[1] Abdolvahab M, J. Biomech. Eng. -Trans. ASME, 44, 92 (2011)

[2] Adams MJ, Briscoe BJ, Johnson SA, Tribol. Lett., 26, 239 (2007)

[3] Adams MJ, Johnson SA, Lefevre P, Levesque V, Hayward V, Andre T, Thonnard JL, J. R. Soc. Interface, 10, 201204 (2013)

[4] Andre T, Lefevre P, Thonnard JL, J. Neurosci. Methods, 179, 224 (2009)

[5] Biet M, Giraud F, Lemaire-Semail B, IEEE Trans. Ultrason. Ferroelectr. Freq. Control, 54, 2678 (2007)

[6] Childs THC, Henson B, Proc. Inst. Mech. Eng. J J. Eng. Tribol., 221, 427 (2007)

[7] Derler S, Gerhardt LC, Lenz A, Bertaux E, Hadad M, Tribol. Int., 42, 1565 (2009)

[8] Engmann J, Servais C, Burbidge AS, J. Non-Newton. Fluid Mech., 132(1-3), 1 (2005)

[9] Farjoud A, Vahdati N, Fah YF, J. Intell. Mater. Syst. Struct., 19, 565 (2007)

[10] Marchuk ND, Colgate JE, Peshkin MA, 2010, Friction measurements on a large area TPaD, Proc. IEEE Haptics Symp., Waltham, MA, USA, 217-320.

[11] Mullenbach J, Shultz C, Colgate JE, 2014, Exploring affective communication through variable-friction surface haptics, Proc. ACM Comput.-Hum. Interact., Toronto, ON, Canada, 3963-3972.

[12] Sednaoui T, Vezzoli E, Dzidek B, Lemaire-Semail B, Chappaz C, Adams M, 2015, Experimental evaluation of friction reduction in ultrasonic devices, Proc. IEEE World Haptics Conf., Evanston, Il, USA, 37-42.

[13] Son KJ, Fahrenthold EP, Smart Mater. Struct., 21, 075012 (2012)

[14] Son KJ, Kim M, Kim K, 2013, Analytical modeling of disk-type piezoelectric variable friction tactile displays, Proc. IEEE/ASME Int. Conf. Adv. Intell. Mechatron., 1725-1730.

[15] Son KJ, Kartik V, Wickert JA, Sitti M, J. Vib. Control, 12, 1293 (2006)

[16] Vezzoli E, Dzidek B, Sednaoui T, Giraud F, Adams M, Lemaire-Semail B, 2015, Role of fingerprint mechanics and non- Coulombic friction in ultrasonic devices, Proc. IEEE World Haptics Conf., Evanston, Il, USA, 43-48.

[17] Watanabe T, Fukui S, 1995, A method for controlling tactile sensation of surface roughness using ultrasonic vibration, Proc. IEEE Int. Conf. Rob. Autom., 1133-1139.

[18] Winfield L, Glassmire J, Colgate JE, Peshkin M, 2007, Tsukaba, Japan, 43-48.

[19] Winter C, Markovic M, Perriard Y, IEEE Trans. Ind. Appl., 50, 1809 (2014)