 | | 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: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| D. A. Shlyakhin, "Nonstationary axisymmetric electroelasticity problem for an anisotropic piezoceramic radially polarized cylinder," Mech. Solids. 44 (1), 62-69 (2009) |
| Year |
2009 |
Volume |
44 |
Number |
1 |
Pages |
62-69 |
| DOI |
10.3103/S0025654409010063 |
| Title |
Nonstationary axisymmetric electroelasticity problem for an anisotropic piezoceramic radially polarized cylinder |
| Author(s) |
D. A. Shlyakhin (Samara State Architecture and Civil Engineering University, Molodogvardeyskaya 194, Samara, 443001, Russia, n-1-sh@ya.ru) |
| Abstract |
We consider an axisymmetric nonstationary electroelasticity problem for an anisotropic piezoceramic radially polarized cylinder of finite size whose lateral surface is subjected to an electric voltage that is an arbitrary function of the axial coordinate and time. A new closed-form solution is constructed by the vector eigenfunction expansion method in the form of a structural finite transform algorithm. This solution permits determining the natural vibration frequencies, the stress-strain state of an element, and the electric field potential and intensity. The results permit analyzing and optimizing the operation of inverse piezoelectric effect devices with cylindrical transducers. |
| 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. | O. Yu. Zharii, "The Eigenfunction Expansion Method in Dynamic Electroelasticity Problems," Prikl. Mat. Mekh. 54(1), 109-115 (1990) [J. Appl. Math. Mech. (Engl. Transl.) 54 (1), 88-93 (1990)]. |
| 4. | V. N. Mel’nik and M. N. Moskal’kov, "On the Coupled Non-Stationary Electro-Elastic Oscillations of a Piezoceramic Cylinder with Radial Polarization," Zh. Vychisl. Mat. Mat. Fiz. 28(11), 1755-1756 (1988) [U.S.S.R. Comput. Math. Math. Phys. (Engl. Transl.) 28 (6), 109-110 (1988)]. |
| 5. | Yu. E. Senitskii, Study of Construction Element Elastic Strain under Dynamical Actions by the Finite Integral Transform Method (Izd-vo Saratov Univ., Saratov, 1985) [in Russian]. |
| 6. | 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.)]. |
| 7. | Yu. E. Senitskii, "The Dynamic Problem of Electroelasticity for a Non-Homogeneous Cylinder," Prikl. Mat. Mekh. 57(1), 116-122 (1993) [J. Appl. Math. Mech. (Engl. Transl.) 57 (1), 133-139 (1993)]. |
| 8. | Yu. E. Senitskii and D. A. Shlyakhin, "The Nonstationary Axisymmetric Problem of Electroelasticity for a Thick Circular Anisotropic Piezoceramic Plate," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 1, 78-87 (1999) [Mech. Solids (Engl. Transl.) 34 (1), 66-74 (1999)]. |
|
| Received |
22 February 2006 |
| Link to Fulltext |
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