Temat: mixed boundary value problem - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Asymptotic study of elastic half-plane with embedded punch
Analiza asymtotyczna zagadnienia kontaktowego stempla i półprzestrzeni sprężystej
Autorzy:: Andrianov, I. V.
Awrejcewicz, J.
Kirichek, Yu. A.
Koblik, S. G.
Powiązania:: https://bibliotekanauki.pl/articles/280842.pdf
Data publikacji:: 2007
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: mixed boundary value problem
singular asymptotics
complex variable theory
Opis:: A contact problem for an elastic half-plane and an embedded rigid punch is studied. The employed mathematical model describes the behavior of a soil with embedded foundation. The analytical solution geverning the stress field behaviour is derived. Singular perturbation and complex analysis techniques are used.
W pracy rozważono zagadnienie kontaktowe związane z oddziaływaniem sztywnego stempla i półprzestrzeni sprężystej. Analizowany problem może np. modelować fundamenty budowli usytuowane w podatnym gruncie. Sformułowano w postaci analitycznej pole naprężeń przy użyciu metody perturbacji osobliwych i techniki zmiennych zespolonych.
Źródło:: Journal of Theoretical and Applied Mechanics; 2007, 45, 1; 5-14
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Wave Generation by a Finite Baffle Array in Application to Beam-Forming Analysis
Autorzy:: Tasinkevych, Y.
Powiązania:: https://bibliotekanauki.pl/articles/177857.pdf
Data publikacji:: 2010
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: phased array
beamforming
mixed boundary value problem
BIS expansion
Opis:: Directional excitation of sound in an aperiodic finite baffle system is analyzed using a method developed earlier in electrostatics. The solution to the corresponding boundary value problem is obtained in the spatial-frequency domain. The acoustic pressure and normal particle velocity distribution in acoustic media can be easily computed by the inverse Fourier transform from their spatial spectra on the baffle plane. The presented method can be used for linear acoustic phased arrays modeling with finite element size and inter-element interactions taken into account. Some illustrative numerical examples presenting the far-field radiation pattern and wavebeam steering are given.
Źródło:: Archives of Acoustics; 2010, 35, 4; 677-686
0137-5075
Pojawia się w:: Archives of Acoustics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Analytical solutions for a general mixed boundary value problem associated with motions of fluids with linear dependence of viscosity on the pressure
Autorzy:: Vieru, D.
Fetecau, C.
Bridges, C.
Powiązania:: https://bibliotekanauki.pl/articles/1839812.pdf
Data publikacji:: 2020
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: lepkość
płyn newtonowski
przepływ płynu lepkiego
analytical solutions
mixed boundary value problem
pressure dependent viscosity
Opis:: An unsteady flow of incompressible Newtonian fluids with linear dependence of viscosity on the pressure between two infinite horizontal parallel plates is analytically studied. The fluid motion is induced by the upper plate that applies an arbitrary time-dependent shear stress to the fluid. General expressions for the dimensionless velocity and shear stress fields are established using a suitable change of independent variable and the finie Hankel transform. These expressions, that satisfy all imposed initial and boundary conditions, can generate exact solutions for any motion of this type of the respective fluids. For illustration, three special cases with technical relevance are considered and some important observations and graphical representations are provided. An interesting relationship is found between the solutions corresponding to motions induced by constant or ramptype shear stresses on the boundary. Furthermore, for validation of the results, the steady-state solutions corresponding to oscillatory motions are presented in different forms whose equivalence is graphically proved.
Źródło:: International Journal of Applied Mechanics and Engineering; 2020, 25, 3; 181-197
1734-4492
2353-9003
Pojawia się w:: International Journal of Applied Mechanics and Engineering
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: A mixed type boundary-value problem related to the electrostatics of cold plasma jet reactors based on dielectric barrier discharge
Autorzy:: Vafeas, Panayiotis
Papadopoulos, Polycarpos K.
Svarnas, Panagiotis
Powiązania:: https://bibliotekanauki.pl/articles/1838214.pdf
Data publikacji:: 2021
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: DBD
dielectric barrier discharge
cold plasma jet
reactor
mixed type boundary value problem
electrostatic potential theory
Opis:: A semi-analytical model is presented for the determination of the electric field in reactors used for cold atmospheric pressure plasma (CAPP) jet production, based on the concept of dielectric barrier discharge (DBD). These systems are associated with various applications in contemporary engineering, ranging from material processing to biomedicine, and at the same time they provide many challenges for fundamental research. Here, we consider a simplified system configuration of a single driven electrode, surrounding a thin dielectric tube, which does not contribute to the electric field, since the potential variation is immediate due to its negligible size. By employing the cylindrical coordinate system that perfectly fits the present plasma jet reactor, we separate the area of electric activity into three distinct domains according to the imposed external conditions, while our analysis is restricted to the electrostatic limit of Maxwell’s equations. To this end, cylindrical harmonic field expansions are used for the potential, which produce the corresponding electric fields in each subdomain. Due to the imposed mixed-type boundary value problem, additional linear terms are incorporated, leading to three possible analytical solutions of the physical problem under consideration. The efficiency of the method is demonstrated by comparing the final formulae with a numerical solution, followed by the relevant discussion.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2021, 31, 2; 233-245
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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