Abstract
The dynamic tangential contact of rough surfaces of frictional elements of a stick-slip microdrive is theoretically investigated. By applying the method of dimensionality reduction, the contact areas of the frictional partners are modeled such that the physical properties of the contact can be fully considered and the influence of the roughness is taken into account. The dynamics of the microscopic rough contact is combined with a macroscopic movement of the drive’s runner in a hybrid dynamic simulation. The numerical results show a good agreement with experimental data. Furthermore, an analytical relation between maximal tangential contact displacement and normal force applied to the contact is analyzed, allowing the contact behavior to be theoretically predicted.
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References
Pohl, D.W., Dynamic Piezoelectric Translation Devices, Rev. Sci. Ins., 1987, vol. 58(1), pp. 54–57.
Zhang, Z.M., An, Q., Li, J.W., and Zhang, W.J., Piezoelectric Friction-Inertia Actuator—a Critical Review and Future Perspective, Int. J. Adv. Manu. Tech., 2012, vol. 62(5–8), pp. 669–685.
Nguyen, H.X., Edeler, C., and Fatikow, S., Modeling of Piezo-Actuated Stick-Slip Micro-drives: An Overview, Adv. Sci. Tech.: Proc. 4th Int. Conf. Smart Mater., Struct. Syst., 2012, vol. 81, pp. 39–48.
Dahl, P.R., A Solid Friction Model, Aerosp. Coop. El Segundo CA, 1968, no. ADA041920.
de Wit, C., Olsson, H., Astrom, K., and Lischinsky, P., A New Model for Control of Systems with Friction, IEEE Trans. Autom. Contr., 1995, vol. 40, pp. 419–425.
Breguet, J.-M., Stick and Slip Actuators, PhD Dissertation, Zurich: Swiss Federal Institute of Technology ETH Zurich, 1998.
Dupont, P., Hayward, V., Armstrong, B., and Altpeter, F., Single State Elastoplastic Friction Models, IEEE Trans. Auto. Contr., 2002, vol. 47, pp. 787–792.
Peng, J.Y. and Chen, D.B., Modeling of Piezoelectric-Driven Stick-Slip Actuators, IEEE/ASME Trans. Mechatron, 2010, vol. 99, pp. 1–6.
Edeler, C., Modellierung und Validierung der Krafterzeugung mit Stick-Slip-Antrieben für nanorobotische Anwendungen, PhD Dissertation, Oldenburg: Carl von Universität Oldenburg, 2011.
Nguyen, H.X., Teidelt, E., Popov, V.L., and Fatikow, S., Modeling and Waveform Optimization of Stick-Slip Microdrives by the Method of Dimensionality Reduction, Submitted for publication in J. Arch. App. Mech.
Popov, V.L. and Psakhie, S.G., Numerical Simulation Methods in Tribology, Tribol. Int., 2007, vol. 40, pp. 916–923.
Geike, T. and Popov, V.L., Mapping of Three-Dimensional Contact Problems into One Dimension, Phys. Rev., 2007, vol. 76, p. 036710.
Geike, T. and Popov, V.L., Reduction of Three-Dimensional Contact Problems to One-Dimensional Ones, Tribol. Int., 2007, vol. 40, pp. 924–929.
Heß, M., Über die exakte Abbildung ausgewählter dreidimensionaler Kontakte auf Systeme mit niedrigerer raumlicher Dimension, PhD Dissertation, Göttingen: Cuvillier-Verlag, Technische Universität Berlin, 2011.
Popov, V.L., Basic Ideas and Applications of the Method of Reduction of Dimensionality in Contact Mechanics, Phys. Mesomech., 2012, vol. 15, no. 5–6, pp. 254–263.
Popov, V.L., Method of Reduction of Dimensionality in Contact and Friction Mechanics: A Linkage between Micro and Macro Scales, Friction, 2013, vol. 1(1), pp. 41–62.
Pohrt, R., Popov, V.L., and Filippov, A.E., Normal Contact Stiffness of Elastic Solids with Fractal Rough Surfaces, Phys. Rev. Lett., 2012, vol. 108, p. 104301.
Pohrt, R. and Popov, V.L., Normal Contact Stiffness of Elastic Solids with Fractal Rough Surfaces for One- and Three-Dimensional Systems, Phys. Rev. E, 2012, vol. 86, p. 026710.
Pohrt, R. and Popov, V.L., Contact Mechanics of Rough Spheres: Crossover from Fractal to Hertzian Behavior, Adv. Tribol., 2013, p. 974178.
Popov, V.L. and Heß, M., Methode der Dimensionsreduktion in Kontaktmechanik und Reibung Eine Berechnungsmethode im Mikro- und Makrobereich, Berlin: Springer, 2013.
Grzemba, B., Pohrt, R., Teidelt, E., and Popov, V.L., Maximum Micro-Slip in Tangential Contact of Randomly Rough Self-Affine Surfaces, Wear, 2014, vol. 309, no. 1–2, pp. 256–258.
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Original Text © H.X. Nguyen, E. Teidelt, V.L. Popov, S. Fatikow, 2014, published in Fizicheskaya Mezomekhanika, 2014, Vol. 17, No. 3, pp. 77–83.
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Nguyen, H.X., Teidelt, E., Popov, V.L. et al. Dynamic tangential contact of rough surfaces in stick-slip microdrives: Modeling and validation using the method of dimensionality Reduction. Phys Mesomech 17, 304–310 (2014). https://doi.org/10.1134/S1029959914040079
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DOI: https://doi.org/10.1134/S1029959914040079