 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10522 |
| In Russian (ΟΜΜ): | | 9723
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| In English (J. Appl. Math. Mech.): | | 799 |
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| I.D. Kochetkov and N.N. Rogacheva, "Theory of piezoelectric laminated plates as an asymptotic approximation of the three-dimensional problem," J. Appl. Math. Mech. 81 (1), 52-65 (2017) |
| Year |
2017 |
Volume |
81 |
Issue |
1 |
Pages |
52-65 |
| DOI |
10.1016/j.jappmathmech.2017.07.006 |
| Title |
Theory of piezoelectric laminated plates as an asymptotic approximation of the three-dimensional problem |
| Author(s) |
I.D. Kochetkov (National Research Moscow State University of Civil Engineering, Moscow, Russia)
N.N. Rogacheva (National Research Moscow State University of Civil Engineering, Moscow, Russia, nrogache@yandex.ru) |
| Abstract |
A theory of laminated plates, whose central plane coincides with the symmetry plane of the plate, has been constructed by the asymptotic method of reducing the three-dimensional equations of piezoelectricity to the two-dimensional equations of piezoelectric plates without the use of any hypotheses. The plate contains both elastic and piezoelectric layers. The constructed theory is compared with the theories of other authors. As an example, a numerical calculation has been carried out of the piezoelectric state of a circular three-layer plate performing induced harmonic vibrations. |
| Received |
20 February 2015 |
| Link to Fulltext |
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