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Wyświetlanie 1-15 z 38
Tytuł:
On integration of the green function in a discontinuos temperature field in a 2D domain
Autorzy:
Jemielita, G.
Powiązania:
https://bibliotekanauki.pl/articles/279667.pdf
Data publikacji:
2001
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
Green's functions
discontinuous temperature field
Opis:
The paper discusses the problem of Green's functions application to stress calculations in the case of a discontinuous temperature field acting in a 2D domain. It is proved that the double integral of the Green function for the stresses does not exist. A new method of finding iterrated integrals of Green's functions which enables obtaining correct functions for the stress... is presented as well.
O całkowaniu funcji Greena przy działaniu nieciągłego pola temperatury. W przcy rozpatrzono problem zastosowania funkcji Greena dla naprężeń w przypadku działania nieciągłego pola temperatury w 2-wymiarowym obszarze... . Wykazano, że całka podwójna z funcji Greena dla naprężeń nie istnieje. Podano sposób obliczania całek iterowanych z funcji Greena taki, za pomocą którego uzyskujemy poprawne wzory naprężenia... .
Źródło:
Journal of Theoretical and Applied Mechanics; 2001, 39, 2; 297-305
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
About sign-constancy of Greens functions for impulsive second order delay equations
Autorzy:
Domoshnitsky, A.
Landsman, G.
Yanetz, S.
Powiązania:
https://bibliotekanauki.pl/articles/255963.pdf
Data publikacji:
2014
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
impulsive equations
Green's functions
positivity/negativity of Green's functions
boundary value problem
second order
Opis:
We consider the following second order differential equation with delay [formula] In this paper we find necessary and sufficient conditions of positivity of Green's functions for this impulsive equation coupled with one or two-point boundary conditions in the form of theorems about differential inequalities. By choosing the test function in these theorems, we obtain simple sufficient conditions. For example, the inequality [formula] is a basic one, implying negativity of Green's function of two-point problem for this impulsive equation in the case 0<γi≤1, 0<δi≤1 for i=1,…,p.
Źródło:
Opuscula Mathematica; 2014, 34, 2; 339-362
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Green’s function in frequency analysis of circular thin plates of variable thickness
Autorzy:
Żur, K. K.
Powiązania:
https://bibliotekanauki.pl/articles/280832.pdf
Data publikacji:
2015
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
circular plates
Green's functions
Neumann series
Opis:
Free vibration analysis of homogeneous and isotropic circular thin plates with variable distribution of parameters by using Green’s functions (solution to homogeneous ordinary differential equations with variable coefficients) is considered. The formula of Green’s function (called the influence function) depends on the Poisson ratio and the coefficient of distribution of plate flexural rigidity, and the thickness is obtained in a closed-form. The limited independent solutions to differential Euler equations are expanded in the Neumann power series using the Volterra integral equations of the second kind. This approach allows one to obtain the analytical frequency equations as the power series rapidly convergens to exact eigenvalues for different values of the power index and different values of the Poisson ratio. The six lower natural dimensionless frequencies of axisymmetric vibration of circular plates of constant and variable thickness are calculated for different boundary conditions. The obtained results are compared with selected results presented in the literature.
Źródło:
Journal of Theoretical and Applied Mechanics; 2015, 53, 4; 873-884
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Thermally induced vibration of a cantilever beam with periodically varying intensity of a heat source
Autorzy:
Kidawa-Kukla, J.
Powiązania:
https://bibliotekanauki.pl/articles/122585.pdf
Data publikacji:
2013
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
heat conduction
beam vibration
Green's functions
Opis:
In this paper an exact solution to the problem of the thermally induced vibration of a cantilever beam is presented. It is assumed that on a part of the beam the surface acts as a periodically time-varying heat source. The changing of the beam temperature produces thermal stresses, which cause displacements of the beam. The vibration of the beam is governed by the Bernoulli-Euler equation which includes the variable thermal moment. The heat equation and the vibration problem are solved by using the Green’s function method. The symbolic software Mathematica has been used to obtain the solution of the problem in an analytical form.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2013, 12, 4; 59-65
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Acoustical Boundary Elements : Theory and Virtual Experiments
Autorzy:
Piscoya, R.
Ochmann, M.
Powiązania:
https://bibliotekanauki.pl/articles/178118.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
boundary elements
Green's functions
non-uniqueness
Opis:
This paper presents an overview of basic concepts, features and difficulties of the boundary element method (BEM) and examples of its application to exterior and interior problems. The basic concepts of the BEM are explained firstly, and different methods for treating the non-uniqueness problem are described. The application of the BEM to half-space problems is feasible by considering a Green’s Function that satisfies the boundary condition on the infinite plane. As a special interior problem, the sound field in an ultrasonic homogenizer is computed. A combination of the BEM and the finite element method (FEM) for treating the problem of acoustic-structure interaction is also described. Finally, variants of the BEM are presented, which can be applied to problems arising in flow acoustics.
Źródło:
Archives of Acoustics; 2014, 39, 4; 453-465
0137-5075
Pojawia się w:
Archives of Acoustics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Selective infrared absorption and refraction of symmetrical two-layered molecular nanofilms
Autorzy:
Rodic, D
Skipina, B
Pelemis, S. S.
Jacimovski, S. K.
Setrajcic, J. P.
Powiązania:
https://bibliotekanauki.pl/articles/174298.pdf
Data publikacji:
2013
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
nanofilm
excitons
Green's functions
permittivity
absorption
refraction
Opis:
We have supplemented the already formulated microscopic theory of optical properties of very ultrathin molecular films (quantum nanofilms), i.e., quasi 2D systems parallel to XY planes bounded by two surfaces. The exposure of nanofilms to the external electromagnetic fields has resulted in the creation of excitons, but different than bulk ones in one direction perpendicular to surfaces. The analysis of the dielectric response of the system to perturbation of an external electromagnetic field shows that optical properties of these crystalline nanosystems for low exciton concentration of Frenkel’s excitons strongly depend on boundary parameters and the thickness of the film. In addition, the dynamical absorption and the refraction coefficient show a very narrow and discrete dependence of external electromagnetic field frequency, which is the consequence of both resonance and quantum size effects. Influences of boundary conditions on optical characteristics (through the analyses of dynamical absorption and refraction indices) of these nanostructures were specially and in details explored. The emission and the luminescence spectrum of the whole film have been analyzed and the results compared to experimental data show very good behavior and very good coordination.
Źródło:
Optica Applicata; 2013, 43, 4; 641-649
0078-5466
1899-7015
Pojawia się w:
Optica Applicata
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Uniqueness and parameter dependence of positive doubly periodic solutions of nonlinear telegraph equations
Autorzy:
Graef, J. R.
Kong, L.
Wang, M.
Powiązania:
https://bibliotekanauki.pl/articles/255148.pdf
Data publikacji:
2014
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
telegraph equation
doubly periodic solution
Green's functions
Opis:
The authors study a type of second order nonlinear telegraph equation. The existence and uniqueness of positive doubly periodic solutions are discussed. The parametric dependence of the solutions is also investigated. Two examples are given as applications of the results.
Źródło:
Opuscula Mathematica; 2014, 34, 2; 363-373
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On a nanophotonic response descriptor
Autorzy:
Anagnostakis, E. A.
Powiązania:
https://bibliotekanauki.pl/articles/1933940.pdf
Data publikacji:
2013
Wydawca:
Politechnika Gdańska
Tematy:
nanodevices
photonic response
optoelectronics
nanophotonics
Green's functions
Fredholm kernel
Opis:
The photonic response exhibited by typical semiconductor nanodevices is modeled through a notionally universal descriptor by virtue of the Green’s function associated with the generic complete, inhomogeneous differential equation. It is derived that the photoresponse evolution is expressible as the sum of saturation-limiting linear nanophotonic behavior and a linear superposition of eigenfunctions of the respective homogeneous Fredholm integral equation.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2013, 17, 1-2; 91-94
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A methodology for online rotor stress monitoring using equivalent Green’s function and steam temperature model
Autorzy:
Banaszkiewicz, M.
Dominiczak, K.
Powiązania:
https://bibliotekanauki.pl/articles/175458.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
Steam turbine
thermal stress
Green's functions
Duhamel’s integral
Opis:
The requirement of high operational flexibility of utility power plants creates a need of using online systems for monitoring and control of damage of critical components, e.g., steam turbine rotors. Such systems make use of different measurements and mathematical models enabling calculation of thermal stresses and their continuous control. The paper presents key elements of the proposed system and discusses their use from the point of view of thermodynamics and heat transfer. Thermodynamic relationships, well proven in design calculations, were applied to calculate online the steam temperature at critical locations using standard turbine measurements as input signals. The model predictions were compared with operational data from a real power plant during a warm start-up and show reasonably good accuracy. The effect of variable heat transfer coefficient and material properties on thermal stresses was investigated numerically by finite element method (FEM) on a cylinder model, and a concept of equivalent Green’s function was introduced to account for this variability in thermal stress model based on Duhamel’s integral. This approach was shown to produce accurate results for more complicated geometries by comparing thermal stresses at rotor blade groove computed using FEM and Duhamel’s integral.
Źródło:
Transactions of the Institute of Fluid-Flow Machinery; 2016, 133; 13-37
0079-3205
Pojawia się w:
Transactions of the Institute of Fluid-Flow Machinery
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Green’s function approach to frequency analysis of thin circular plates
Autorzy:
Żur, K. K.
Powiązania:
https://bibliotekanauki.pl/articles/201838.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
free vibration
circular plates
Green's functions
wolne wibracje
funkcja Greena
Opis:
The free vibration analysis of homogeneous and isotropic circular thin plates by using the Green’s functions is considered. The formulae for construction of the influence function for all nodal diameters are presented in a closed form. The limited independent solutions of differential Euler equations were expanded in the Neumann power series using the method of successive approximation. This approach allows to obtain the analytical frequency equations as power series rapidly convergent to exact eigenvalues for different number of nodal diameters. The first ten dimensionless frequencies for eight different natural modes of circular plates are calculated. A part of obtained results have not been presented yet in open literature for thin circular plates. The results of investigation are in good agreement with selected results obtained by other methods presented in literature.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2016, 64, 1; 181-188
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Application of a Green’s function method to heat conduction problems in multi-layered cylinders
Autorzy:
Siedlecka, U.
Kukla, S.
Powiązania:
https://bibliotekanauki.pl/articles/122684.pdf
Data publikacji:
2013
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
heat conduction
Green's functions
composite cylinder
przewodnictwo ciepła
funkcja Greena
Opis:
In this paper, the Green’s functions which are used in solving the heat conduction problem in a composite cylinder are derived. The functions are obtained by the solution of one dimensional eigenproblems and are presented in the form of eigenfunction series. The temperature in the cylinder as a function of time and space coordinates are expressed by the Green’s functions. A numerical example is presented.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2013, 12, 3; 105-113
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Frequency analysis of a double-walled nanotubes system
Autorzy:
Ciekot, A.
Kukla, S.
Powiązania:
https://bibliotekanauki.pl/articles/122756.pdf
Data publikacji:
2014
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
nanotubes system
free vibration
Green's functions
drgania swobodne
funkcja Greena
Opis:
In the present paper, a problem of free vibration of a double-walled nanotubes system is considered. The nanotubes of the system are coupled by an arbitrary number of elastic rings. The Green’s functions method was used to obtain a solution to the problem. Numerical results are presented graphically.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 4; 27-34
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Theoretical study of ferroelectric triglycine sulphate (TGS) crystal in external electric fields
Autorzy:
Upadhyay, T. Ch.
Nautiyal, A.
Powiązania:
https://bibliotekanauki.pl/articles/412113.pdf
Data publikacji:
2013
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
ferroelectric
Green's functions
anharmonic
dielectric constant
loss tangent
coustic attenuation
Opis:
A modified two sub-lattice pseudospin-lattice coupled mode model of Mitsui et al [Phys. Rev., 111 (1958) 1259] by adding third, fourth order phonon anharmonic interaction and external electric field terms has been applied to ferroelectric triglycine sulphate crystal. Electric field dependence of ferroelectric, dielectric and acoustical properties has been studied. With the help of double time temperature dependent Green’s function method, expressions for shift, width, soft mode frequency, dielectric constant, loss tangent and acoustic attenuation have been derived. Numerically calculations have been made and results have been compared with experimental data reported by Bye et al [Ferroelectrics 4 (1974) 243] and Shreekumar et al [Ferroelectrics 160 (1994) 23] for TGS crystal and a good agreement has been observed.
Źródło:
International Letters of Chemistry, Physics and Astronomy; 2013, 6; 54-65
2299-3843
Pojawia się w:
International Letters of Chemistry, Physics and Astronomy
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Implementation of the boundary element method to two-dimensional heat transfer with thermal bridge effects
Autorzy:
Lewandowski, M. T.
Powiązania:
https://bibliotekanauki.pl/articles/1933938.pdf
Data publikacji:
2013
Wydawca:
Politechnika Gdańska
Tematy:
heat transfer
boundary element method
temperature field
thermal bridge
Green's functions
Opis:
The work presents an application of the boundary element method applied to a two-dimensional conductive heat transfer. The algorithm of the method is explained and its advantages are outlined. Green’s function as a fundamental solution for Poisson’s equation in two dimension was used and the direct approach was applied. The presented results concern building construction elements as typical cases of thermal bridges. Some properties of the boundary element method which give new possibilities were considered. For instance, forcing selected values of temperature on inner edges of the considered domain or local increasing of the temperature field resolution. The simulations were performed with the author’s own algorithm.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2013, 17, 1-2; 109-117
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Radial heat conduction in a multilayered sphere
Autorzy:
Siedlecka, U.
Powiązania:
https://bibliotekanauki.pl/articles/122676.pdf
Data publikacji:
2014
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
Green's functions
heat conduction
multilayered hollow sphere
funkcja Greena
przewodnictwo ciepła
Opis:
In this paper, an exact analytical solution of the radial heat conduction problem in a hollow multilayered sphere is presented. The boundary conditions of the third kind and perfect contact at the interfaces are assumed. The temperatures are obtained by using the Green’s function method. The Green’s functions are expressed in the form of the series of appropriate eigenfunctions.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 4; 109-116
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 38

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