Iakov A. Lyashenko, Vadym N. Borysiuk, Valentin L. Popov

DOI Number
First page
Last page


We consider an actuator whose driving bodies are made of Power-Law graded materials. The directional motion is generated by an asymmetric mechanism producing simultaneously vertical and horizontal oscillations of the indenter. The dynamic contact of gradient materials is described and the equation of motion for the drive is written down and analyzed. It is shown that the exponent of the elastic inhomogeneity significantly affects the average velocity of motion of the cargo, which can be dragged by the drive.


Piezoelectric Actuator, Friction, Method of Dimensionality Reduction, Normal and Tangential Contact Forces

Full Text:



Ross, R., 2014, Investigation into soft-start techniques for driving servos, Mechatronics, 24(2), pp. 79-86.

Wawszczak, W., Towarek, Z., Jagiełło, B., 2004, Methodology of the stepper motor rotational motion investigations, Mechanics and Mechanical Engineering, 7(1), pp. 87-95.

Cheng, T.H., He, M., Li, H.Y., Lu, X.H., Zhao, H.W., Gao, H.B., 2017, A novel trapezoid-type stick-slip piezoelectric linear actuator using right circular flexure hinge mechanism, IEEE Transactions on Industrial Electronics, 64(7), pp. 5545-5552.

Nguyen, H.X., Teidelt, E., Popov V.L., Fatikow, S., 2016, Modeling and waveform optimization of stick–slip micro-drives using the method of dimensionality reduction, Archive of Applied Mechanics, 86, pp. 1771-1785.

Li, J., Zhao, H., Shao, M., Zhou, X., Fan, Z., 2015, Design and experimental research of an improved stick–slip type piezo-driven linear actuator, Advanced in Mechanical Engineering, 7(9), pp. 1-8.

Popov, V.L., 2017, Oscillation-based methods for actuation and manipulation of nano-objects, AIP Conference Proceedings, 1882, pp. 020056: 1-5.

Alshamasin, M.S., Ionescu, F., Al-Kasasbeh, R.T., 2012, Modelling and simulation of a SCARA robot using solid dynamics and verification by MATLAB/Simulink, International Journal of Modelling Identification and Control, 15(1), pp. 28-38.

Sui, L., Xiong, X., Shi, G., 2012, Piezoelectric actuator design and application on active vibration control, Physics Procedia, 25, pp. 1388-1396.

Kelemen, A., Crivii, M., Trifa, V., 1987, Mathematical modeling and simulation of stepping motor systems, Mathematical Modelling, 8, pp. 544-549.

Miyamoto, Y., Kaysser, W.A., Rabin, B.H., Kawasaki, A., Ford, R.G. (Eds.), 1999, Functionally graded materials: Design, processing and applications, Dordrecht: Kluwer Academic, 330 pp.

Shugurov, A.R., Kuzminov, E.D., Kasterov, A.M., Panin, A.V., Dmitriev, A.I., 2020, Tuning of mechanical properties of Ti1−xAlxN coatings through Ta alloying, Surface and Coatings Technology, 382, pp. 125219.

Lyashenko, I.A., Borysiuk, V.N., Popov, V.L., 2019, Dynamical model of asymmetric actuator of directional motion, Meccanica, 54(10), pp. 1681-1687.

Hess, M., 2016, A simple method for solving adhesive and non-adhesive axisymmetric contact problems of elastically graded materials, International Journal of Engineering Science, 104, pp. 20-33

Popov V.L., Heß M., Willert E., 2019, Handbook of contact mechanics: exact solutions of axisymmetric contact problems, Berlin: Springer, 347 pp.

Willert, E., Dmitriev, A.I., Psakhie, S.G., Popov, V.L., 2019, Effect of elastic grading on fretting wear, Scientific Reports, 9, pp. 7791: 1-8.

Landau, L.D., Lifshitz, E.M., 1986, Theory of Elasticity, New York, Pergamon Press, 165 pp.

Popov, V.L., 2004, Nanomachines: a general approach to inducing directed motion at the atomic level, International Journal of Non-Linear Mechanics, 39(4), pp. 619-633.

Popov, V.L., 2003, Nanomachines: methods to induce a directed motion at nanoscale, Physical Review E, 68(2), 026608: 1-7.

DOI: https://doi.org/10.22190/FUME200129020L


  • There are currently no refbacks.

ISSN: 0354-2025 (Print)

ISSN: 2335-0164 (Online)

COBISS.SR-ID 98732551

ZDB-ID: 2766459-4