Temat: Green's functions - Prolib Integro

Skocz do pozycji: 1.

Tytuł:: About sign-constancy of Greens functions for impulsive second order delay equations
Autorzy:: Domoshnitsky, A.
Landsman, G.
Yanetz, S.
Tematy:: impulsive equations
Green's functions
positivity/negativity of Green's functions
boundary value problem
second order; Pokaż więcej
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Powiązania:: https://bibliotekanauki.pl/articles/255963.pdf Link otwiera się w nowym oknie
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.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: On integration of the green function in a discontinuos temperature field in a 2D domain
Autorzy:: Jemielita, G.
Tematy:: Green's functions
discontinuous temperature field; Pokaż więcej
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Powiązania:: https://bibliotekanauki.pl/articles/279667.pdf Link otwiera się w nowym oknie
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... .
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Green’s function in frequency analysis of circular thin plates of variable thickness
Autorzy:: Żur, K. K.
Tematy:: circular plates
Green's functions
Neumann series; Pokaż więcej
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Powiązania:: https://bibliotekanauki.pl/articles/280832.pdf Link otwiera się w nowym oknie
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.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: Thermally induced vibration of a cantilever beam with periodically varying intensity of a heat source
Autorzy:: Kidawa-Kukla, J.
Tematy:: heat conduction
beam vibration
Green's functions; Pokaż więcej
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Powiązania:: https://bibliotekanauki.pl/articles/122585.pdf Link otwiera się w nowym oknie
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.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 5.

Tytuł:: Acoustical Boundary Elements : Theory and Virtual Experiments
Autorzy:: Piscoya, R.
Ochmann, M.
Tematy:: boundary elements
Green's functions
non-uniqueness; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Powiązania:: https://bibliotekanauki.pl/articles/178118.pdf Link otwiera się w nowym oknie
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.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 6.

Tytuł:: Convergence in capacity of the pluricomplex Green function
Autorzy:: Czyż, Rafał
Dostawca treści:: Repozytorium Uniwersytetu Jagiellońskiego

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Skocz do pozycji: 7.

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.
Tematy:: nanofilm
excitons
Green's functions
permittivity
absorption
refraction; Pokaż więcej
Wydawca:: Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Powiązania:: https://bibliotekanauki.pl/articles/174298.pdf Link otwiera się w nowym oknie
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.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 8.

Tytuł:: Uniqueness and parameter dependence of positive doubly periodic solutions of nonlinear telegraph equations
Autorzy:: Graef, J. R.
Kong, L.
Wang, M.
Tematy:: telegraph equation
doubly periodic solution
Green's functions; Pokaż więcej
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Powiązania:: https://bibliotekanauki.pl/articles/255148.pdf Link otwiera się w nowym oknie
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.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 9.

Tytuł:: On the metric space of pluriregular sets
Autorzy:: Klimek, Maciej
Kosek, Marta
Opis:: The metric space of pluriregular sets was introduced over two decades ago but to this day most of its topological properties remain a mystery. The purpose of this short survey is to present the current state of knowledge concerning this space.
Dostawca treści:: Repozytorium Uniwersytetu Jagiellońskiego

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Skocz do pozycji: 10.

Tytuł:: Theoretical study of ferroelectric triglycine sulphate (TGS) crystal in external electric fields
Autorzy:: Upadhyay, T. Ch.
Nautiyal, A.
Tematy:: ferroelectric
Green's functions
anharmonic
dielectric constant
loss tangent
coustic attenuation; Pokaż więcej
Wydawca:: Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Powiązania:: https://bibliotekanauki.pl/articles/412113.pdf Link otwiera się w nowym oknie
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.
Dostawca treści:: Biblioteka Nauki

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