Geodesic
Unjointed axially symmetric dynamical problem of electroelasticity for radially polarized cylinder
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 2 (2011), pp. 116-129 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The unjointed axially symmetric nonstationary problem of direct piezoelectric effect for non-isotropic piezoceramic radially polarized cylinder at action of its external radial surfaces of the normal stresses being arbitrary functions of axial coordinate and time is regarded. The new closed solution is constructed by the method of expansion in eigen vector-functions in the form of structural algorithm of finite transformations. Received correlations allow to define the natural-vibration frequency, the stress-strain state of the element, and also the potential and intensity of the induced electric field.
Keywords: unjointed problem of electroelasticity, piezoceramic cylinder, axially symmetric dynamic stress. 
@article{VSGU_2011_2_a11,
     author = {D. A. Shlyakhin},
     title = {Unjointed axially symmetric dynamical problem of electroelasticity for radially polarized cylinder},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {116--129},
     year = {2011},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2011_2_a11/}
}
TY  - JOUR
AU  - D. A. Shlyakhin
TI  - Unjointed axially symmetric dynamical problem of electroelasticity for radially polarized cylinder
JO  - Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ
PY  - 2011
SP  - 116
EP  - 129
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/VSGU_2011_2_a11/
LA  - ru
ID  - VSGU_2011_2_a11
ER  - 
%0 Journal Article
%A D. A. Shlyakhin
%T Unjointed axially symmetric dynamical problem of electroelasticity for radially polarized cylinder
%J Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ
%D 2011
%P 116-129
%N 2
%U http://geodesic.mathdoc.fr/item/VSGU_2011_2_a11/
%G ru
%F VSGU_2011_2_a11
D. A. Shlyakhin. Unjointed axially symmetric dynamical problem of electroelasticity for radially polarized cylinder. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 2 (2011), pp. 116-129. http://geodesic.mathdoc.fr/item/VSGU_2011_2_a11/

[1] Shulga N. A., Bolkisev A. M., Kolebaniya pezoelektricheskikh tel, Nauk. dumka, Kiev, 1990, 228 pp.

[2] Melnik V. N., Moskalkov M. N., “O svyazannykh elektrouprugikh nestatsionarnykh kolebaniyakh pezokeramicheskogo tsilindra s radialnoi polyarizatsiei”, Vychisl. matematika i mat. fizika, 28:11 (1988), 1755–1756 | MR

[3] Parton V. Z., Kudryavtsev B. A., Elektromagnitouprugost pezoelektricheskikh i elektroprovodnykh tel, Nauka, M., 1988, 470 pp.

[4] Shlyakhin D. A., “Dinamicheskaya osesimmetrichnaya zadacha pryamogo pezoeffekta dlya anizotropnogo pezokeramicheskogo radialno polyarizovannogo tsilindra”, PMiTF, 51:1 (2010), 153–161

[5] Grinchenko V. T., Ulitko A. F., Shulga N. A., Mekhanika svyazannykh polei v elementakh konstruktsii, Nauk. dumka, Kiev, 1989, 279 pp. | Zbl

[6] V. S. Didkovskii i dr., “Radialnye kolebaniya tsilindricheskoi pezokeramicheskoi obolochki”, Elektronika i svyaz, 2009, no. 6, 31–40

[7] Bardzokas D. I., Kudryavtsev B. A., Senik N. A., Rasprostranenie voln v elektromagnitouprugikh sredakh, URSS, 2003, 336 pp.

[8] Pankov A. A., Sokolkin Yu. V., “Reshenie kraevoi zadachi elektrouprugosti dlya pezoaktivnykh kompozitov metodom periodicheskikh sostavlyayuschikh”, Mekhanika kompozitsionnykh materialov i konstruktsii, 8:3 (2002), 365–384

[9] Loza I. A., “Svobodnye kolebaniya pezokeramicheskikh polykh tsilindrov s radialnoi polyarizatsiei”, Matematicheskie metody i fiziko-mekhanicheskie polya, 52:4 (2009), 138–144 | Zbl

[10] Grigorenko A. Ya., Efimova T. L., Loza I. A., “Ob odnom podkhode k issledovaniyu kolebanii polykh pezokeramicheskikh tsilindrov”, Doklady Natsionalnoi akademii nauk Ukrainy, 2009, no. 6, 61–67 | Zbl

[11] Senitskii Yu. E., “Osesimmetrichnaya dinamicheskaya zadacha dlya korotkogo tolstostennogo tsilindra”, Prikladnye problemy prochnosti i plastichnosti. Metody resheniya zadach uprugosti i plastichnosti, Gorkovsk. gos. un-t, Gorkii, 1980, 127–135

[12] Senitskii Yu. E., “K resheniyu osesimmetrichnoi zadachi dinamiki dlya anizotropnogo korotkogo tolstostennogo tsilindra”, Prikladnaya mekhanika, 17:8 (1981), 95–100

[13] Sneddon I. N., Preobrazovaniya Fure, Inostr. lit., M., 1955, 668 pp.

[14] Senitskii Yu. E., Issledovanie uprugogo deformirovaniya elementov konstruktsii pri dinamicheskikh vozdeistviyakh metodom konechnykh integralnykh preobrazovanii, Izd-vo Sarat. un-ta, Saratov, 1985, 173 pp.

[15] Tamm I. E., Osnovy teorii elektrichestva, Nauka, M., 1989, 504 pp.