Geodesic
Non-stationary axisymmetric problem of inverse piezoeffect for circular bimorphous plate of stepped variable thickness and rigidity
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2013), pp. 133-140 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Non-stationary axisymmetric problem for a thin circular bimorphous plate under the action on the end surfaces of electric potential, which is an arbitrary function of time. On the basis of the theory of Tymoshenko by method of finite integral transformation a new closed solution for the viewed electricity and elastic system of stepped variable rigidity and thickness is built. The obtained calculated correlations allow to explore the frequency characteristics and stress-deformed state of bimorphous elements.
Keywords: problem of inverse piezoeffect, thin bimorphous plate, axisymmetric dynamic loading. 
@article{VSGU_2013_6_a12,
     author = {D. A. Shlyakhin},
     title = {Non-stationary axisymmetric problem of inverse piezoeffect for circular bimorphous plate of stepped variable thickness and rigidity},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {133--140},
     year = {2013},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2013_6_a12/}
}
TY  - JOUR
AU  - D. A. Shlyakhin
TI  - Non-stationary axisymmetric problem of inverse piezoeffect for circular bimorphous plate of stepped variable thickness and rigidity
JO  - Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ
PY  - 2013
SP  - 133
EP  - 140
IS  - 6
UR  - http://geodesic.mathdoc.fr/item/VSGU_2013_6_a12/
LA  - ru
ID  - VSGU_2013_6_a12
ER  - 
%0 Journal Article
%A D. A. Shlyakhin
%T Non-stationary axisymmetric problem of inverse piezoeffect for circular bimorphous plate of stepped variable thickness and rigidity
%J Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ
%D 2013
%P 133-140
%N 6
%U http://geodesic.mathdoc.fr/item/VSGU_2013_6_a12/
%G ru
%F VSGU_2013_6_a12
D. A. Shlyakhin. Non-stationary axisymmetric problem of inverse piezoeffect for circular bimorphous plate of stepped variable thickness and rigidity. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2013), pp. 133-140. http://geodesic.mathdoc.fr/item/VSGU_2013_6_a12/

[1] Yu. B. Evseichik i dr., “Chuvstvitelnost bimorfnogo preobrazovatelya tipa metall-pezokeramika”, Prikl. mekhanika, 26:12 (1990), 67–75

[2] Evseichik Yu. B., Medvedev K. V., “Chuvstvitelnost gidroakusticheskogo datchika davleniya”, nauch.-tekhn. sb., Gidravlika i gidrotekhnika, 62, NTU, Kiev, 2008, 10–16

[3] Rudnitskii S. N., Sharapov V. M., Shulga N. A., “Kolebaniya diskovogo bimorfnogo preobrazovatelya tipa metall-pezokeramika”, Prikl. mekh., 26:10 (1990), 64–72 | Zbl

[4] Uflyand Ya. S., “Rasprostranenie voln pri poperechnykh kolebaniyakh sterzhnei i plastin”, Prikl. mat. i mekh., XII (1948), 287–300 | Zbl

[5] Gelfand I. M., Shilov G. E., Obobschennye funktsii i deistviya nad nimi, Fizmatgiz, M., 1959, 470 pp.

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

[7] Senitskii Yu. E., “Mnogokomponentnoe obobschennoe konechnoe integralnoe preobrazovanie i ego prilozhenie k nestatsionarnym zadacham mekhaniki”, Izv. vuzov. Ser.: Matematika, 1991, no. 4, 57–63

[8] V. N. Khmelev i dr., “Issledovanie zavisimosti geometricheskikh razmerov na kharakteristiki izluchatelya v vide plastiny”, Izmerenie, avtomatizatsiya i modelirovanie v promyshlennosti i nauchnykh issledovaniyakh, materialy 7 Vserossiiskoi konferentsii IAMP-2010 (Biisk, 2010), 2000–2006

[9] Shlyakhin D. A., “Vynuzhdennye osesimmetrichnye kolebaniya tonkoi krugloi bimorfnoi plastiny stupenchato-peremennoi tolschiny i zhestkosti”, Inzh. vestnik Dona, 2013, no. 1 http://ivdon.ru