Temat: rownanie Fouriera - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: On the computation of the minimal polynomial of a polynomial matrix
Autorzy:: Karampetakis, P.
Tzekis, P.
Powiązania:: https://bibliotekanauki.pl/articles/908531.pdf
Data publikacji:: 2005
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: wielomian minimalny
dyskretna transformacja Fouriera
macierz wielomianowa
macierzowe równanie liniowe
minimal polynomial
discrete Fourier transform
polynomial matrix
linear matrix equations
Opis:: The main contribution of this work is to provide two algorithms for the computation of the minimal polynomial of univariate polynomial matrices. The first algorithm is based on the solution of linear matrix equations while the second one employs DFT techniques. The whole theory is illustrated with examples.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2005, 15, 3; 339-349
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Anti – plane crack emanating from the interface in a bounded smart PEMO- elastic structure
Autorzy:: Rogowski, B.
Powiązania:: https://bibliotekanauki.pl/articles/955285.pdf
Data publikacji:: 2013
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: interfejs
natężenie pola
transformacja Fouriera
równanie Cauchy'ego
interface
anti-plane shear crack
singularity of power law
field intensity factors
magnetoelectroelastic behaviour
Fourier transform
Cauchy singular integral equation
exact solution
Opis:: The magnetoelectroelastic analysis of two bonded dissimilar piezo-electro-magneto-elastic ceramics with a crack perpendicular to and terminating at the interface is made. By using the Fourier integral transform (in perpendicular directions in each materials), the mixed boundary conditions and continuity conditions are transformed to a singular integral equation with generalized Cauchy kernel, the solution of which has been well studied, and classical methods are directly applicable here to obtain the closed form solution. The results are presented for a permeable crack under anti-plane shear loading and in-plane electric and magnetic loadings, as prescribed electric displacement and magnetic inductions or electric and magnetic fields. The results indicate that the magnetoelectroelastic field near the crack tip in the homogeneous PEMO- elastic ceramic is dominated by a traditional inverse square-root singularity, while the coupled field near the crack tip at the interface exhibits the singularity of the power law r--α , r being the distance from the interface crack tip and α depending on the material constants of a bimaterial. In particular, electric and magnetic fields have no singularity at the crack tip in a homogeneous solid, whereas they are singular around the interface crack tip. Numerical results are given graphically to show the effects of the material properties on the singularity order, field intensity factors and energy release rates. The results presented in this paper should have potential applications to the design of multilayered magnetoelectroelastic structures.
Źródło:: International Journal of Applied Mechanics and Engineering; 2013, 18, 4; 1165-1199
1734-4492
2353-9003
Pojawia się w:: International Journal of Applied Mechanics and Engineering
Dostawca treści:: Biblioteka Nauki

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