 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| A. O. Vatul’yan and A. A. Rynkova, "A model of bending vibrations of piezoelectric bimorphs with split electrodes and its applications," Mech. Solids. 42 (4), 595-602 (2007) |
| Year |
2007 |
Volume |
42 |
Number |
4 |
Pages |
595-602 |
| Title |
A model of bending vibrations of piezoelectric bimorphs with split electrodes and its applications |
| Author(s) |
A. O. Vatul’yan (Rostov State University, RSU, Bolshaya Sadovaya 105, Rostov-on-Don, 344006, Russia, vatulyan@aaanet.ru)
A. A. Rynkova (Rostov State University, RSU, Bolshaya Sadovaya 105, Rostov-on-Don, 344006, Russia, rynkova@itlaboratory.ru) |
| Abstract |
We study stationary vibrations and static bending of a bimorph plate consisting of two piezoceramic layers with an infinitely thin split electrode between them. We propose a model taking into account the square root singularity of the electric field structure on the interface between the split electrode regions. For the plane problem, we obtain the equation of motion and formulate the boundary conditions and the transmission conditions on the interface between the split electrode regions. For the piezoceramic PZT-4, we calculate the resonance and antiresonance frequencies and study the dependence of the dynamic electromechanical coupling coefficient on the dimensions of the internal electrode. We show that the use of a plate with a split electrode permits increasing the efficiency of vibration excitation compared with the case of a solid internal electrode. In the case of static bending of the plate-strip, we determine the dimensions of the internal electrode ensuring a significant increase in the deflection at the center of the bimorph. |
| References |
| 1. | V. V. Ganopol'skii, B. A. Kasatkin, F. F. Legusha, et al.,
Piezoceramic Transducers. Handbook
(Sudostroenie, Leningrad, 1984)
[in Russian]. |
| 2. | V. Z. Parton and B. A. Kudryavtsev,
Electromagnetoelasticity of Piezoelectrics
and Electrically Conductive Solids
(Nauka, Moscow, 1988;
Gordon & Breach Science Publishers, New York-London-Paris-Montreux-Tokyo-Melbourne, 1988)
[in Russian]. |
| 3. | R. D. Mindlin,
"High Frequency Vibrations of Piezoelectric Crystal Plates,"
Intern. J. Solids Structures
8 (7), 895-906 (1972). |
| 4. | N. Bugdayci and D. B. Body,
"A Two-Dimensional Theory for
Piezoelectric Layers Used in Electro-Mechanical
Transducers. Part 1. Derivation,"
Intern. J. Solids Structures
17 (12), 1159-1178 (1981). |
| 5. | A. S. Kosmodamianskii and V. N. Lozhkin,
"Asymptotic Analysis of Electroelastic
State of a Thin Piezoelectric Layer,"
Prikl. Mekh.
14 (5), 3-8 (1978). |
| 6. | V. T. Grinchenko, A. F. Ulitko, and N. A. Shul'ga,
Electroelasticity, Vol. 5,
Mechanics of Coupled Fields in Structural Elements
(Naukova Dumka, Kiev, 1989)
[in Russian]. |
| 7. | A. O. Vatul'yan, I. P. Getman, and N. B. Lapitskaya, "On the Bending
of a Piezoelectric Bimorph Plate," Prikl. Mekh. 27 (10),
101-105 (1991). |
| 8. | A. O. Vatul'yan and A. A. Rynkova, "On Calculating of a
Bending Vibrations of a Bimorph Piezoelectric Plate with a Split
Electrode," Defectoscopiya, No. 3, 61-66 (1998). |
| 9. | A. O. Vatul'yan and A. A. Rynkova,
"Flexural Vibrations of a Piezoelectric
Bimorph with a Cut Internal Electrode,"
Prikl. Mekh. Tekhn. Fiz.
42 (1), 184-189 (2001)
[J. Appl. Mech. Tech. Phys. (Engl. Transl.)]. |
| 10. | I. P. Getman and Yu. A. Ustinov,
"On the Theory of Inhomogeneous Electroelastic Plates,"
Prikl. Mat. Mekh.
43 (5), 923-932 (1979)
[J. Appl. Math. Mech. (Engl. Transl.)]. |
| 11. | B. S. Aronov,
Electromechanical Transducers from Piezoelectric Ceramics
(Energoatomizdat, Leningrad, 1990)
[in Russian]. |
| 12. | A. O. Vatul'yan and A. A. Rynkova, "On Optimal Choice of Electrode
Coating in Bimorph Piezoelectric Elements," Izv. Vyssh. Uchebn.
Zaved., North Caucasus Region, Natural Sciences, Mathematical
Modeling, Special Issue, 41-43 (2001). |
|
| Received |
02 February 2005 |
| Link to Fulltext |
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