ЗАДАЧА ПРИВЕДЕНИЯ ДЛЯ РЕГУЛЯРНОЙ СИСТЕМЫ ПОЛЫХ КРУГОВЫХ ЦИЛИНДРОВ С ПРОИЗВОЛЬНОЙ РЕШЕТКОЙ ПЕРИОДОВ

S.T. Tolmachev; D.L. Yukhymovych

No. 2 (2011), Theoretical Electrical Engineering and Electrophysics

No. 2 (2011)

Theoretical Electrical Engineering and Electrophysics

THE PROBLEM OF REDUCING THE HOLLOW CIRCULAR CYLINDERS WITH ARBITRARY GRATING OF PERIODS FOR REGULAR SYSTEM

Published 2011-02-03

S.T. Tolmachev⁺⁻
D.L. Yukhymovych⁺⁻

S.T. Tolmachev

Krivorozhsky technical university, XXII partsezdu str., 11, Kryvyi Rig, 50027, Dnipropetrovska obl., Ukraine

D.L. Yukhymovych

Krivorozhsky technical university, XXII partsezdu str., 11, Kryvyi Rig, 50027, Dnipropetrovska obl., Ukraine

ARTICLE_2_PDF (Українська)

Keywords

multifield method
doubly periodic system
magnetic penetrabilities метод мультиполей
двоякопериодические системы
магнитная проницаемость

How to Cite

[1]

Толмачев, С. and Юхимович, Д. 2011. THE PROBLEM OF REDUCING THE HOLLOW CIRCULAR CYLINDERS WITH ARBITRARY GRATING OF PERIODS FOR REGULAR SYSTEM. Tekhnichna Elektrodynamika. 2 (Feb. 2011), 011.

Abstract

On basis of multifield method for an arbitrary doubly periodic gratings the explicit formulas for tensor of reduced doubly periodic system penetrability of hollow circular cylinders with arbitrary magnetic penetrabilities of areas have been obtained. References 13, figures 3.

ARTICLE_2_PDF (Українська)

References

Akhiezer N.I. Elements of the theory of elliptic functions. – Moskva: Nauka, 1970. – 304 p. (Rus.)

Vejl A. Elliptic functions according to Eisenstein and Kronecker.– Moskva: Mir, 1978. – 112 p. (Rus.)

Emets Yu.P. Electrical characteristics of composite materials with regular structure. – Kyiv: Naukova dumka, 1968. – 192p. (Rus.)

Tolmachev S.T. A doubly periodic problem of magnetostatics // Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki. – 1983. – No 6. – P. 1402–1409. (Rus.)

Tolmachev S.T. Special methods for solving magnetostatic problems. – Kyiv: Vishcha shkola, 1983. – 166 p. (Rus.)

Tolmachev S.T., Ilchenko A.V., Rozhnenko Zh.H. Mathematical modeling of magnetic field with doubly periodic structure // Pratsi Luganskogo viddilennia Mizhnarodnoi Akademii informatyzatsii. – 2007. – No 1. – P. 141–146. (Rus.)

Tolmachev S.T., Ilchenko A.V., Bondarevskii S.L. Reduced properties of magnetic area with doubly periodic field structure// Pratsi Luganskogo viddilennya Mizhnarodnoi Akademii informatyzatsii. – 2007. – No 2. – P. 133–137. (Rus.)

Tolmachev S.T. Homogeneous field disturbed by periodic system of circular cylinders // Teoreticheskaia elektrotekhnika. Resp. mezhved. nauchn.-tekhn. sb., vyp. 23. – Lvov: Vishcha shkola. Izd. pri Lvov. Univ. – 1977. – P. 97–106. (Rus.)

Tolmachev S.T. Calculation of effective electroconductivity (penetrability) of two-phase areas with cylindrical inclusions // Elektrichestvo. – 1975. – No 2. – P. 39–43. (Rus.)

Tolmachev S.T. Effective parameters of ordered heterogeneous mediums // Elektrichestvo. – 1983. – No 7. – P. 35–40. (Rus.)

Tolmachev S.T., Yukhimovich D.L., Bondarevskii S.L. A doubly periodic problem for hollow circular cylinders // Elektrotekhnika i Elektromekhanika. – 2010. – No 2. – P. 42–45. (Rus.)

Perrins W.T., McKenzie D.R., McPhedran R.C. Transport Properties of Regular Arrays of Cylinders II // Proc. R. Soc. Lond. A. – 1979. – Vol. 369. – Pp. 207–225.

Rayleigh J.W. On the Influence of Obstacles Arranged in Rectangular Order upon the Properties of a Medium // Phil. mag. – 1982. – Vol. 5. – P. 481–505.