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Wyświetlanie 1-15 z 26
Tytuł:
Generalized characteristic singular integral equation with Hilbert kernel
Autorzy:
Karczmarek, P.
Powiązania:
https://bibliotekanauki.pl/articles/255057.pdf
Data publikacji:
2008
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
singular integral equation
characteristic equation
exact solution
Hilbert kernel
Opis:
In this paper an explicit solution of a generalized singular integral equation with a Hilbert kernel depending on indices of characteristic operators is presented.
Źródło:
Opuscula Mathematica; 2008, 28, 3; 287-294
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Singular integral equation with a multiplicative Cauchy kernel in the half-plane
Autorzy:
Karczmarek, P.
Powiązania:
https://bibliotekanauki.pl/articles/255089.pdf
Data publikacji:
2008
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
singular integral equation
exact solution
Cauchy kernel
multiplicative kernel
Opis:
In this paper the explicit solutions of singular integral equation with a multiplicative Cauchy kernel in the half-plane are presented.
Źródło:
Opuscula Mathematica; 2008, 28, 1; 63-72
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Mathematical modelling of heat transfer in liquid flat-plate solar collector tubes
Autorzy:
Zima, W.
Dziewa, P.
Powiązania:
https://bibliotekanauki.pl/articles/240431.pdf
Data publikacji:
2010
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
kolektor słoneczny
model matematyczny
rozwiązanie dokładne
stan przejściowy
exact solution
mathematical model
solar collector
transient state
Opis:
The paper presents a one-dimensional mathematical model for simulating the transient processes which occur in the liquid flat-plate solar collector tubes. The proposed method considers the model of collector tube as one with distributed parameters. In the suggested method one tube of the collector is taken into consideration. In this model the boundary conditions can be time-dependent. The proposed model is based on solving the equation describing the energy conservation on the fluid side. The temperature of the collector tube wall is determined from the equation of transient heat conduction. The derived differential equations are solved using the implicit finite difference method of iterative character. All thermo-physical properties of the operating fluid and the material of the tube wall can be computed in real time. The time-spatial heat transfer coefficient at the working fluid side can be also computed on-line. The proposed model is suitable for collectors working in a parallel or serpentine tube arrangement. As an illustration of accuracy and effectiveness of the suggested method the computational verification was carried out. It consists in comparing the results found using the presented method with results of available analytic solutions for transient operating conditions. Two numerical analyses were performed: for the tube with temperature step function of the fluid at the inlet and for the tube with heat flux step function on the outer surface. In both cases the conformity of results was very good. It should be noted, that in real conditions such rapid changes of the fluid temperature and the heat flux of solar radiation, as it was assumed in the presented computational verification, do not occur. The paper presents the first part of the study, which aim is to develop a mathematical model for simulating the transient processes which occur in liquid flat-plate solar collectors. The experimental verification of the method is a second part of the study is not presented in this paper. In order to perform this verification, the mathematical model would be completed with additional energy conservation equations. The experimental verification will be carry out in the close future.
Źródło:
Archives of Thermodynamics; 2010, 31, 2; 45-62
1231-0956
2083-6023
Pojawia się w:
Archives of Thermodynamics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analysis of mode I conducting crack in piezo-electro-magneto-elastic layer
Autorzy:
Rogowski, B.
Powiązania:
https://bibliotekanauki.pl/articles/264519.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
warstwa elastyczna
szczelina dielektryczna
natężenie pola
magneto electro-elastic layer
penny-shaped crack
dielectric crack
field intensity factors
exact solution
Opis:
Within the theory of linear magnetoelectroelasticity, the fracture analysis of a magneto - electrically dielectric crack embedded in a magnetoelectroelastic layer is investigated. The prescribed displacement, electric potential and magnetic potential boundary conditions on the layer surfaces are adopted. Applying the Hankel transform technique, the boundary - value problem is reduced to solving three coupling Fredholm integral equations of second kind. These equations are solved exactly. The corresponding semi - permeable crack - face magnetoelectric boundary conditions are adopted and the electric displacement and magnetic induction of crack interior are obtained explicitly. This field inside the crack is dependent on the material properties, applied loadings, the dielectric permittivity and magnetic permeability of crack interior, and the ratio of the crack length and the layer thickness. Field intensity factors are obtained as explicit expressions.
Źródło:
International Journal of Applied Mechanics and Engineering; 2013, 18, 1; 153-176
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analytical and numerical solutions of not exact differential equations with interpretation in Mathematica program
Analityczno-numeryczne rozwiązania równań różniczkowych niezupełnych z interpretacją w programie Mathematica
Autorzy:
Czajkowski, A. A.
Mazur-Chrzanowska, B.
Chrzanowski, R.
Udała, R.
Powiązania:
https://bibliotekanauki.pl/articles/135746.pdf
Data publikacji:
2013
Wydawca:
Wyższa Szkoła Techniczno-Ekonomiczna w Szczecinie
Tematy:
not exact differential equation
integrating factor
general integral
particular integral
analytical method
numerical method
graphical interpretation of solution
Mathematica
równanie różniczkowe niezupełne
czynnik całkujący
całka ogólna
całka szczególna
metoda analityczna
metoda numeryczna
interpretacja graficzna rozwiązania
Opis:
Introduction and aim: This paper shows the analytical and numerical solutions of some not exact differential equations. Some short description of a search procedure for integral factor in all three cases has been shown in the considerations. The main aim of this paper is to use Mathematica program to solve the not exact differential equations. Material and methods: In the paper have been analyzed exact differential equation and four not exact differential equations. In order to solve not exact differential equations and create some graphs of obtained solutions has been applied Mathematica program. Analytical and numerical methods have been used in the paper. Results: In the case of integrating factor which dependent on two variables has been shown the way of its searching by using some expectation method. In particular case, when integrating factor has form μ(x,y)=xayb the quantities a and b we can find by solving a system of two linear equations with unknown values a and b. Conclusion: Program Mathematica allows us to look, for more difficult cases, some integrating factor dependent on two variables x and y by using a expectation method.
Wstęp i cele: W pracy pokazano rozwiązania analityczne dla równań różniczkowych niezupełnych. Przestawiono krótki opis procedury szukania czynnika całkującego we wszystkich trzech przypadkach. Głównych celem pracy jest zastosowanie programu Mathematica do rozwiązywania równań różniczkowych niezupełnych. Materiał i metody: Zanalizowano równanie różniczkowe zupełne oraz cztery równania różniczkowe niezupełne. W celu wykonania wykresów otrzymanych rozwiązań szczególnych zastosowano program numeryczny Mathematica. W pracy zastosowano zarówno metodę analityczną jak i numeryczną. Wyniki: W przypadku czynnika całkującego zależnego od dwóch zmiennych pokazano sposób jego wyznaczania stosując metodę przewidywań. W szczególności gdy czynnik całkujący ma postać μ(x,y)=xayb wykładniki a oraz b znajduje się rozwiązując układ dwóch równań linowych o zmiennych a i b. Wnioski: Program Mathematica pozwala na analizę, dla bardziej trudniejszych przypadków, czynnika całkującego zależnego od dwóch zmiennych x oraz y stosując metodę przewidywań.
Źródło:
Problemy Nauk Stosowanych; 2013, 1; 5-30
2300-6110
Pojawia się w:
Problemy Nauk Stosowanych
Dostawca treści:
Biblioteka Nauki
Artykuł
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
Artykuł
Tytuł:
Application of Rank Controlled Differential Quadrature Method for Solving an Infinite Steel Plate Cooling Problem
Autorzy:
Żak, P. L.
Suchy, J. S.
Lelito, J.
Gracz, B.
Powiązania:
https://bibliotekanauki.pl/articles/381994.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
information technology
foundry industry
solidification process
exact solution
rank controlled differential quadrature
numerical modelling
technologia informatyczna
przemysł odlewniczy
proces krzepnięcia
dokładne rozwiązanie
kwadratura różniczkowa sterowanego rzędu
modelowanie numeryczne
Opis:
Rank Controlled Differential Quadrature method is a numerical method that allows to approximate the partial derivatives that appears in partial differential equations. Those equations with proper geometrical, physical, initial and boundary conditions make mathematical models of physical process. The heat transfer process is governed by Fourier–Kirchhoff equation, which is parabolic Partial Differential Equation. In this paper authors present the steel plate cooling problem. At the beginning of the process plate is heated up to 450 °C and is cooled to ambient temperature. The cooling of the plate is basic heat transfer problem. If the plates dimensions has proper proportions such problem may be described as one dimensional and solved exactly. The mathematical model and exact solution is given in the work. Authors apply the Rank Controlled Differential Quadrature to approximate derivatives in Fourier–Kirchhoff equation and in boundary conditions. After changing derivatives into quadrature formulation set of algebraic equations is obtained. Substituting thermo-physical parameters numerical model is obtained. The computer program was prepared to solve the problem numerically. Results of simulation are confronted with the exact ones. Error value at each time step as well as error value increase rate for examined numerical method is analyzed.
Źródło:
Archives of Foundry Engineering; 2013, 13, 3 spec.; 201-206
1897-3310
2299-2944
Pojawia się w:
Archives of Foundry Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Open tandem networks with blocking analysis – two approaches
Autorzy:
Oniszczuk, W.
Powiązania:
https://bibliotekanauki.pl/articles/205602.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
two-node network with blocking
multi-server tandem queues
exact algorithm
product form solution
Opis:
The paper describes an analytical study of open twonode (tandem) network models with blocking. Here, a specific tandem configuration is chosen: the first node is treated as an infinite server (IS - often referred to as the ample-server), meaning that any incoming task can find at least one empty line for service in this node, and the second node has several parallel lines that can serve input task streams simultaneously. Between these two nodes there is a buffer with finite capacity. In this type of network, if the buffer is full, the accumulation of new tasks by the second node is temporarily suspended (blocking factor) and tasks must wait at the first node until the transmission process is resumed. In this paper, the two-node model is investigated using two different methods. The first is the multi-step exact algorithm, involving a numerical part for solving a set of linear equations, and the second is an approximate algorithm using a product form solution. The numerical part is used for solving a system of linear equations and for calculating the state probability vector. Finally, after comparing both algorithms, some recommendations as to when each method can be used are given.
Źródło:
Control and Cybernetics; 2014, 43, 1; 111-132
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Solitary wave solution to the nonlinear evolution equation in cascaded quadratic media beyond the slowly varying envelope approximations
Autorzy:
Sarma, A K
Biswas, A.
Powiązania:
https://bibliotekanauki.pl/articles/174484.pdf
Data publikacji:
2014
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
solitons
integrability
exact solution
cascaded quadratic media
Opis:
We report an exact bright and dark soliton solution to the nonlinear evolution equation derived by MOSES and WISE (Phys. Rev. Lett. 97, 2006, 073903) for cascaded quadratic media beyond the slowly varying envelope approximations. The integrability aspects of the model are addressed. The travelling wave hypothesis as well as the ansatz method are employed to obtain an exact 1-soliton solution. Both bright and dark soliton solutions are obtained. The corresponding constraint conditions are obtained in order for the soliton solutions to exist.
Źródło:
Optica Applicata; 2014, 44, 2; 205-212
0078-5466
1899-7015
Pojawia się w:
Optica Applicata
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Active Transient Sound Radiation Control from a Smart Piezocomposite Hollow Cylinder
Autorzy:
Hasheminejad, S. M.
Rabbani, V.
Powiązania:
https://bibliotekanauki.pl/articles/177572.pdf
Data publikacji:
2015
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
active structural acoustic control (ASAC) thick cylindrical shells
exact elasto-acoustic analysis
time-domain solution
intelligent system
sound field attenuation
Opis:
The linear 3D piezoelasticity theory along with active damping control (ADC) strategy are applied for non-stationary vibroacoustic response suppression of a doubly fluid-loaded functionally graded piezolaminated (FGPM) composite hollow cylinder of infinite length under general time-varying excitations. The control gain parameters are identified and tuned using Genetic Algorithm (GA) with a multi-objective performance index that constrains the key elasto-acoustic system parameters and control voltage. The uncontrolled and controlled time response histories due to a pair of equal and opposite impulsive external point loads are calculated by means of Durbin’s numerical inverse Laplace transform algorithm. Numerical simulations demonstrate the superior (good) performance of the GA-optimized distributed active damping control system in effective attenuation of sound pressure transients radiated into the internal (external) acoustic space for two basic control configurations. Also, some interesting features of the transient fluid-structure interaction control problem are illustrated via proper 2D time domain images and animations of the 3D sound field. Limiting cases are considered and accuracy of the formulation is established with the aid of a commercial finite element package as well as comparisons with the current literature.
Źródło:
Archives of Acoustics; 2015, 40, 3; 359-381
0137-5075
Pojawia się w:
Archives of Acoustics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Contact problem of conducting and heated punch on a multifield foundation
Autorzy:
Rogowski, B.
Powiązania:
https://bibliotekanauki.pl/articles/264461.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
magneto-electro-thermo-elastic medium
conducting and heated punch
contact problem
exact solution
sprężystość materiałów
potencjał elektryczny
potencjał magnetyczny
Opis:
The solution for a multifield material subjected to temperature loading in a circular region is presented in an explicit analytical form. The study concerns the steady – state thermal loading infinite region (heated embedded inclusion), half – space region and two – constituent magneto – electro – thermo – elastic material region. The new mono – harmonic potential functions, obtained by the author, are used in the analysis of punch problem. The more interested case in which the contact region is annular is analyzed. By using the methods of triple integraf equations and series solution technique the solution for an indentured multifield substrate over an annular contact region is given. The sensitivity analysis of obtained indentation parameters shows some interesting points. In particular, it shows that the increasing of the applied electric and magnetic potentials reduces the indentation depth in multifield materials.
Źródło:
International Journal of Applied Mechanics and Engineering; 2015, 20, 3; 531-564
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Controllability of semilinear systems with fixed delay in control
Autorzy:
Kumar, S.
Sukavanam, N.
Powiązania:
https://bibliotekanauki.pl/articles/952777.pdf
Data publikacji:
2015
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
first order delay system
mild solution
fixed point
exact controllability
Opis:
In this paper, different sufficient conditions for exact controllability of semilinear systems with a single constant point delay in control are established in infinite dimensional space. The existence and uniqueness of mild solution is also proved under suitable assumptions. In particular, local Lipschitz continuity of a nonlinear function is used. To illustrate the developed theory some examples are given.
Źródło:
Opuscula Mathematica; 2015, 35, 1; 71-83
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the multisummability of WKB solutions of certain singularly perturbed linear ordinary differential equations
Autorzy:
Takei, Y.
Powiązania:
https://bibliotekanauki.pl/articles/255041.pdf
Data publikacji:
2015
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
exact WKB analysis
WKB solution
multisummability
Opis:
Using two concrete examples, we discuss the multisummability of WKB solutions of singularly perturbed linear ordinary differential equations. Integral representations of solutions and a criterion for the multisummability based on the Cauchy-Heine transform play an important role in the proof.
Źródło:
Opuscula Mathematica; 2015, 35, 5; 775-802
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analytical models for compact stars with a linear equation of state
Autorzy:
Malaver, Manuel
Powiązania:
https://bibliotekanauki.pl/articles/1191971.pdf
Data publikacji:
2016
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Einstein-Maxwell system
linear equation of state
charge density
MIT-Bag Model
metric function
exact solution
Opis:
In this paper, we found two new classes of solutions to the Einstein-Maxwell system of equations for compact stars assuming an anisotropic pressure and a linear equation of state for the matter distribution within the framework of MIT-Bag Model with a particular form of the metric function. The exact solutions can be written in terms of elementary function in presence of an electromagnetic field. All the obtained models have a singularity in the charge density but not admit singularities in the matter and metric functions at the centre.
Źródło:
World Scientific News; 2016, 50; 64-73
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Exact solution of fin problem with linear temperature-dependent thermal conductivity
Autorzy:
Kader, A. H. A.
Latif, A. S. A.
Nour, H. M.
Powiązania:
https://bibliotekanauki.pl/articles/122709.pdf
Data publikacji:
2016
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
exact solution
fin equation
fin efficiency
thermal conductivity
żebro prostokątne
sprawność żebra
wymiana ciepła
przewodność cieplna
Opis:
In this paper, we obtain the general exact solution of a nonlinear fin equation which governs heat transfer in a rectangular fin with linear temperature-dependent thermal conductivity using the partial Noether method. The relationship between the fin efficiency and the thermo-geometric fin parameter is obtained. Additionally, we obtained the relationship among the fin effectiveness, the thermo-geometric fin parameter and the Biot number.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 4; 51-61
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 26

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