Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
in January 1966
Issued 6 times a year
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IssuesArchive of Issues2004-6pp.14-19

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S. M. Afonin, "Generalized hysteresis characteristic of a piezoelectric transducer and its harmonic linearization," Mech. Solids. 39 (6), 14-19 (2004)
Year 2004 Volume 39 Number 6 Pages 14-19
Title Generalized hysteresis characteristic of a piezoelectric transducer and its harmonic linearization
Author(s) S. M. Afonin (Moscow)
Abstract A generalized hysteresis characteristic of a piezoelectric transducer is studied and experimental and theoretical hysteresis characteristics with basic and partial cycles are presented. A generalized transfer function is found for a nonlinear link of a piezoelectric transducer with the hysteresis characteristic in the form of the basic cycle. The coefficients of harmonic linearization of the generalized hysteresis characteristic of the piezoelectric transducer are obtained. These coefficients are utilized for the stability analysis of self-sustained oscillations in systems of automatic control of piezoelectric actuators.
References
1.  S. M. Afonin, "Parametric Structural Diagram of a Piezoelectric Converter," Izv. AN. MTT [Mechanics of Solids], No. 6, pp. 101-107, 2002.
2.  S. M. Afonin, "Deformation, fracture, and mechanical characteristics of a compound piezoelectric transducer," Izv. AN. MTT [Mechanics of Solids], No. 6, pp. 97-101, 2003.
3.  S. M. Afonin, "Some specific static and dynamic properties of a system of automatic control of a piezoelectric actuator for nano-scale displacements," Pribory i Systemy, Upravl., Control., Diagnost., No. 6, pp. 29-31, 2000.
4.  K. Okadzaki, Technology of Dielectric Ceramics [Russian translation], Energia, Moscow, 1976.
5.  V. A. Bessekerskii and E. P. Popov, Theory of Systems of Automatic Control [in Russian], Nauka, Moscow, 1975.
6.  N. M. Krylov and N. N. Bogolyubov, Introduction to Nonlinear Mechanics [in Russian], Izd-vo AN UkrSSR, Kiev, 1937.
7.  N. A. Babakov, A. A. Voronov, A. A. Voronova, et al., Theory of Automatic Control. Part II. Theory of Nonlinear and Special Systems of Automatic Control [in Russian], Vyssh. Shkola, Moscow, 1977.
Received 15 March 2003
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