 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| D.A. Shlyakhin, "Forced Nonstationary Axisymmetric Vibrations of a Piezoceramic Thin Bimorph Plate," Mech. Solids. 48 (2), 178-185 (2013) |
| Year |
2013 |
Volume |
48 |
Number |
2 |
Pages |
178-185 |
| DOI |
10.3103/S002565441302009X |
| Title |
Forced Nonstationary Axisymmetric Vibrations of a Piezoceramic Thin Bimorph Plate |
| Author(s) |
D.A. Shlyakhin (Samara State Architecture and Civil Engineering University, Molodogvardeyskaya 194, Samara, 443001 Russia, d-612-mit2009@yandex.ru) |
| Abstract |
We consider a nonstationary axisymmetric problem for a thin axially polarized bimorph plate whose end surfaces are under the action of an electric potential, which is an arbitrary function of the radial coordinate and time. On the basis of Timoshenko theory, the finite integral transformation method is used to construct a new closed solution. The obtained computational relations allow one to study the stress-strain state of piezoceramic elements with continuous and split circular electrodes. |
| Keywords |
inverse piezoelectric effect, thin bimorph plate, axisymmetric dynamic load |
| References |
| 1. | 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). |
| 2. | 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]. |
| 3. | A. O. Vatul'yan and A. A. Rynkova,
"A Model of Bending Vibrations of Piezoelectric Bimorphs
with Split Electrodes and Its Applications,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 4, 114-122 (2007)
[Mech. Solids (Engl. Transl.)
42 (4), 595-602 (2007)]. |
| 4. | N. I. Demochkin, K. S. Morgachev, and L. I. Fridman,
"Reliability Domain of the Timoshenko Model in Dynamics of Rods and Plates,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 6, 137-145 (2008)
[Mech. Solids (Engl. Transl.)
43 (6), 957-964 (2008)]. |
| 5. | Ya. S. Uflyand,
"Wave Propagation in Transverse Oscillations of Rods and Plates,"
Prikl. Mat. Mekh.
12 (3), 287-300 (1948). |
| 6. | Yu. E. Senitskii,
Study of Construction Element Elastic Strain under Dynamical Actions by the Finite Integral Transform Method
(Izd-vo SGU, Saratov, 1985)
[in Russian]. |
| 7. | Yu. E. Senitskii,
"Multicomponent Generalized Finite Integral Transform and
Its Application to Nonstationary Problems of Mechanics,"
Izv. Vyssh. Uchebn. Zaved. Mat.,
No. 4, 57-63 (1991)
[Russ. Math. (Iz VUZ) (Engl. Transl.)]. |
|
| Received |
29 June 2010 |
| Link to Fulltext |
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