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--><!-- S. M. Afonin, PhDNational Research University of Electronic Technology (Moscow Institute of Electronic Technology MIET), Moscow, Russia Part of the book: Advances in Mathematics Research. Volume 34Chapter DOI: https://doi.org/10.52305/RZOE1743 Abstract Digital-to-analog piezo converter-actuators are used in nanotechnology, adaptive optics, astronomy, and nanobiomedicine. In this work, the expressions of a digital-to-analog piezo converter-actuator are considered using the equations of reverse piezo effect and the ordinary linear differential equation of the second order. Moreover, the transient characteristic of a digital-to-analog piezo converter-actuator has been determined for nanotechnology, and the mechanical and regulation characteristics of a digital-to-analog piezo converter-actuator have been obtained. We also investigated the static and dynamic characteristics of a digital-to-analog piezo converter-actuator and determined these based on rigidity and mass of the load. The equations for the displacements of the digital-to-analog piezo converter-actuator at the longitudinal, transverse, and shear piezo effects were thus obtained. Finally, the transfer functions of the digital-to-analog piezo converter-actuator were determined at elastic-inertial load. Keywords: digital-to-analog piezo converter-actuator, characteristic, piezo effect, nanotechnology References [1] Schultz, J., Ueda, J., Asada, H., Cellular Actuators. Butterworth-HeinemannPublisher: Oxford, 2017, 382 p.[2] Physical Acoustics: Principles and Methods. Vol. 1. Part A. Methods and Devices;Mason, W., Ed., Academic Press: New York, 1964, pp. 515 p.[3] Bhushan, B., Springer Handbook of Nanotechnology. Springer: Berlin, New York,2004, 1222 p.[4] Uchino, K., Piezoelectric Actuator and Ultrasonic Motors. 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